{"status":"ok","message-type":"work-list","message-version":"1.0.0","message":{"facets":{},"total-results":1524130,"items":[{"indexed":{"date-parts":[[2022,11,12]],"date-time":"2022-11-12T05:59:00Z","timestamp":1668232740050},"reference-count":0,"publisher":"Walter de Gruyter","isbn-type":[{"value":"9783110208528","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2009,4,17]]},"DOI":"10.1515\/9783110208535.536","type":"book-chapter","created":{"date-parts":[[2012,3,22]],"date-time":"2012-03-22T14:02:34Z","timestamp":1332424954000},"page":"536-539","source":"Crossref","is-referenced-by-count":0,"title":["Appendix C. Conditional probabilities"],"prefix":"10.1515","member":"374","container-title":["Mathematical Statistics"],"link":[{"URL":"http:\/\/www.degruyter.com\/view\/books\/9783110208535\/9783110208535.536\/9783110208535.536.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/9783110208535.536\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/9783110208535.536\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,11]],"date-time":"2022-11-11T07:36:09Z","timestamp":1668152169000},"score":26.36333,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/9783110208535.536\/html"}},"issued":{"date-parts":[[2009,4,17]]},"ISBN":["9783110208528"],"references-count":0,"alternative-id":["10.1515\/9783110208535.536","10.1515\/9783110208535"],"URL":"https:\/\/doi.org\/10.1515\/9783110208535.536","published":{"date-parts":[[2009,4,17]]}},{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T17:22:11Z","timestamp":1725729731202},"publisher-location":"Berlin, Heidelberg","reference-count":5,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662221396"},{"type":"electronic","value":"9783662221372"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[1969]]},"DOI":"10.1007\/978-3-662-22137-2_3","type":"book-chapter","created":{"date-parts":[[2013,6,4]],"date-time":"2013-06-04T21:43:06Z","timestamp":1370382186000},"page":"24-51","source":"Crossref","is-referenced-by-count":0,"title":["Probabilities and Frequencies"],"prefix":"10.1007","author":[{"given":"B. L.","family":"Waerden","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"3_CR1","volume-title":"Introduction to Probability Theory","author":"W Feller","year":"1957","unstructured":"For the derivation, which depends upon Stirling\u2019s formula see W. Feller, Introduction to Probability Theory, Vol. 1, Wiley (New York) 1957."},{"key":"3_CR2","first-page":"207","volume-title":"Advanced Statistical Methods in Biometric Research","author":"R Rao","year":"1952","unstructured":"Another solution consists in transforming the h-axis so that the standard deviation of the transformed h becomes almost independent of p. See R. Rao, Advanced Statistical Methods in Biometric Research, Wiley (New York) 1952, pp. 207\u2013214."},{"unstructured":"F. Wegmann, Die operative Behandlung der Bronchektasien, Diss. Z\u00fcrich 1955, Zusammenfassung p. 39.","key":"3_CR3"},{"unstructured":"A curve which illustrates the shape of the error probability as a function of p in the limiting case of a rare event is shown in my note \u201cVertrauensgrenzen f\u00fcr unbekannte Wahrscheinlichkeiten\u201d, Sitzungsber. s\u00e4chs. Akad. Wiss. 91 (1939) p.213.","key":"3_CR4"},{"key":"3_CR5","doi-asserted-by":"publisher","first-page":"404","DOI":"10.1093\/biomet\/26.4.404","volume":"26","author":"CJ Clopper","year":"1934","unstructured":"C. J. Clopper and E. S. Pearson, Biometrika 26 (1934), p. 404.","journal-title":"Biometrika"}],"container-title":["Mathematical Statistics"],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-22137-2_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T06:19:07Z","timestamp":1557728347000},"score":26.303982,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-22137-2_3"}},"issued":{"date-parts":[[1969]]},"ISBN":["9783662221396","9783662221372"],"references-count":5,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-22137-2_3","published":{"date-parts":[[1969]]}},{"indexed":{"date-parts":[[2025,5,17]],"date-time":"2025-05-17T04:08:02Z","timestamp":1747454882465,"version":"3.40.5"},"reference-count":0,"publisher":"De Gruyter","isbn-type":[{"type":"electronic","value":"9783110809350"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[1998,12,31]]},"DOI":"10.1515\/9783110809350-012","type":"book-chapter","created":{"date-parts":[[2021,6,7]],"date-time":"2021-06-07T15:53:05Z","timestamp":1623081185000},"page":"488-491","source":"Crossref","is-referenced-by-count":0,"title":["Appendix C. Conditional probabilities"],"prefix":"10.1515","member":"374","container-title":["Mathematical Statistics"],"link":[{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/9783110809350-012\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/9783110809350-012\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T13:05:23Z","timestamp":1747400723000},"score":26.050282,"resource":{"primary":{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/9783110809350-012\/html"}},"issued":{"date-parts":[[1998,12,31]]},"ISBN":["9783110809350"],"references-count":0,"alternative-id":["10.1515\/9783110809350-012","10.1515\/9783110809350"],"URL":"https:\/\/doi.org\/10.1515\/9783110809350-012","published":{"date-parts":[[1998,12,31]]}},{"indexed":{"date-parts":[[2024,9,15]],"date-time":"2024-09-15T16:06:32Z","timestamp":1726416392967},"reference-count":0,"publisher":"Elsevier","isbn-type":[{"type":"print","value":"9780080291482"}],"license":[{"start":{"date-parts":[[1984,1,1]],"date-time":"1984-01-01T00:00:00Z","timestamp":441763200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[1984]]},"DOI":"10.1016\/b978-0-08-029148-2.50005-7","type":"book-chapter","created":{"date-parts":[[2014,6,29]],"date-time":"2014-06-29T22:05:58Z","timestamp":1404079558000},"page":"1-40","source":"Crossref","is-referenced-by-count":0,"title":["PROBABILITIES OF EVENTS"],"prefix":"10.1016","author":[{"given":"V.S.","family":"PUGACHEV","sequence":"first","affiliation":[]}],"member":"78","container-title":["Probability Theory and Mathematical Statistics for Engineers"],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780080291482500057?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780080291482500057?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,10,2]],"date-time":"2018-10-02T15:58:45Z","timestamp":1538495925000},"score":25.245129,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/B9780080291482500057"}},"issued":{"date-parts":[[1984]]},"ISBN":["9780080291482"],"references-count":0,"URL":"https:\/\/doi.org\/10.1016\/b978-0-08-029148-2.50005-7","published":{"date-parts":[[1984]]}},{"indexed":{"date-parts":[[2024,8,19]],"date-time":"2024-08-19T07:07:33Z","timestamp":1724051253465},"reference-count":0,"publisher":"Politechnika Wroclawska Oficyna Wydawnicza","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["PMS"],"published-print":{"date-parts":[[2020]]},"DOI":"10.37190\/0208-4147.40.1.8","type":"journal-article","created":{"date-parts":[[2020,6,8]],"date-time":"2020-06-08T08:04:16Z","timestamp":1591603456000},"source":"Crossref","is-referenced-by-count":7,"title":["Random iteration with place dependent probabilities"],"prefix":"10.37190","volume":"40","author":[{"given":"RAFA\u0141","family":"KAPICA","sequence":"first","affiliation":[]},{"given":"MACIEJ","family":"\u015aL\u0118CZKA","sequence":"additional","affiliation":[]}],"member":"23140","container-title":["Probability and Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/www.math.uni.wroc.pl\/~pms\/publicationsArticle.php?doi=10.37190\/0208-4147.40.1.8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T13:26:37Z","timestamp":1663248397000},"score":24.975096,"resource":{"primary":{"URL":"http:\/\/www.math.uni.wroc.pl\/~pms\/publicationsArticle.php?doi=10.37190\/0208-4147.40.1.8"}},"issued":{"date-parts":[[2020]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.37190\/0208-4147.40.1.8","published":{"date-parts":[[2020]]}},{"indexed":{"date-parts":[[2024,5,5]],"date-time":"2024-05-05T01:10:28Z","timestamp":1714871428716},"reference-count":0,"publisher":"Elsevier","isbn-type":[{"value":"9781483200118","type":"print"}],"license":[{"start":{"date-parts":[[1962,1,1]],"date-time":"1962-01-01T00:00:00Z","timestamp":-252460800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[1962]]},"DOI":"10.1016\/b978-1-4832-0011-8.50006-9","type":"book-chapter","created":{"date-parts":[[2014,6,30]],"date-time":"2014-06-30T12:50:37Z","timestamp":1404132637000},"page":"1-13","source":"Crossref","is-referenced-by-count":0,"title":["Events and Probabilities"],"prefix":"10.1016","author":[{"given":"Howard G.","family":"Tucker","sequence":"first","affiliation":[]}],"member":"78","container-title":["An Introduction to Probability and Mathematical Statistics"],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9781483200118500069?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9781483200118500069?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,10,2]],"date-time":"2018-10-02T13:27:25Z","timestamp":1538486845000},"score":24.961994,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/B9781483200118500069"}},"issued":{"date-parts":[[1962]]},"ISBN":["9781483200118"],"references-count":0,"URL":"https:\/\/doi.org\/10.1016\/b978-1-4832-0011-8.50006-9","published":{"date-parts":[[1962]]}},{"indexed":{"date-parts":[[2024,5,5]],"date-time":"2024-05-05T01:02:44Z","timestamp":1714870964391},"reference-count":0,"publisher":"Elsevier","isbn-type":[{"value":"9780121994501","type":"print"}],"license":[{"start":{"date-parts":[[1975,1,1]],"date-time":"1975-01-01T00:00:00Z","timestamp":157766400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[1975]]},"DOI":"10.1016\/b978-0-12-199450-1.50019-4","type":"book-chapter","created":{"date-parts":[[2014,6,30]],"date-time":"2014-06-30T06:00:29Z","timestamp":1404108029000},"page":"ibc1-ibc2","source":"Crossref","is-referenced-by-count":0,"title":["Probability and Mathematical Statistics: A Series of Monographs and Textbooks"],"prefix":"10.1016","member":"78","container-title":["Decomposition of Multivariate Probabilities"],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780121994501500194?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780121994501500194?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,10,2]],"date-time":"2018-10-02T17:21:21Z","timestamp":1538500881000},"score":24.61868,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/B9780121994501500194"}},"issued":{"date-parts":[[1975]]},"ISBN":["9780121994501"],"references-count":0,"URL":"https:\/\/doi.org\/10.1016\/b978-0-12-199450-1.50019-4","published":{"date-parts":[[1975]]}},{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T23:46:08Z","timestamp":1648683968944},"reference-count":0,"publisher":"Institute of Mathematical Statistics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Math. Statist."],"published-print":{"date-parts":[[1972,4]]},"DOI":"10.1214\/aoms\/1177692650","type":"journal-article","created":{"date-parts":[[2007,12,18]],"date-time":"2007-12-18T15:41:05Z","timestamp":1197992465000},"page":"664-668","source":"Crossref","is-referenced-by-count":1,"title":["Boundary Crossing Probabilities for the Kolmogorov-Smirnov Statistics"],"prefix":"10.1214","volume":"43","author":[{"given":"Richard M.","family":"Stanley","sequence":"first","affiliation":[]}],"member":"108","container-title":["The Annals of Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdf_1\/euclid.aoms\/1177692650","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T14:01:41Z","timestamp":1494424901000},"score":24.29789,"resource":{"primary":{"URL":"http:\/\/projecteuclid.org\/euclid.aoms\/1177692650"}},"issued":{"date-parts":[[1972,4]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1972,4]]}},"URL":"https:\/\/doi.org\/10.1214\/aoms\/1177692650","ISSN":["0003-4851"],"issn-type":[{"value":"0003-4851","type":"print"}],"published":{"date-parts":[[1972,4]]}},{"indexed":{"date-parts":[[2022,9,16]],"date-time":"2022-09-16T06:46:37Z","timestamp":1663310797106},"reference-count":0,"publisher":"Politechnika Wroclawska Oficyna Wydawnicza","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["PMS"],"published-print":{"date-parts":[[2022]]},"DOI":"10.37190\/0208-4147.00010","type":"journal-article","created":{"date-parts":[[2022,8,24]],"date-time":"2022-08-24T10:45:25Z","timestamp":1661337925000},"source":"Crossref","is-referenced-by-count":0,"title":["Exponential bounds of ruin probabilities for non-homogeneous risk models"],"prefix":"10.37190","volume":"42","author":[{"given":"Zbigniew","family":"Jurek","sequence":"first","affiliation":[]}],"member":"23140","container-title":["Probability and Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/www.math.uni.wroc.pl\/~pms\/publicationsArticle.php?doi=10.37190\/0208-4147.00010","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T13:26:49Z","timestamp":1663248409000},"score":24.201803,"resource":{"primary":{"URL":"http:\/\/www.math.uni.wroc.pl\/~pms\/publicationsArticle.php?doi=10.37190\/0208-4147.00010"}},"issued":{"date-parts":[[2022]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.37190\/0208-4147.00010","published":{"date-parts":[[2022]]}},{"indexed":{"date-parts":[[2022,9,16]],"date-time":"2022-09-16T06:47:44Z","timestamp":1663310864843},"reference-count":0,"publisher":"Politechnika Wroclawska Oficyna Wydawnicza","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["PMS"],"published-print":{"date-parts":[[2022]]},"DOI":"10.37190\/0208-4147.00050","type":"journal-article","created":{"date-parts":[[2022,8,24]],"date-time":"2022-08-24T10:45:25Z","timestamp":1661337925000},"source":"Crossref","is-referenced-by-count":0,"title":["On the monotonicity of tail probabilities"],"prefix":"10.37190","volume":"42","author":[{"given":"Christos","family":"Pelekis","sequence":"first","affiliation":[]},{"given":"Robbert","family":"Fokkink","sequence":"additional","affiliation":[]},{"given":"Symeon","family":"Papavassiliou","sequence":"additional","affiliation":[]}],"member":"23140","container-title":["Probability and Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/www.math.uni.wroc.pl\/~pms\/publicationsArticle.php?doi=10.37190\/0208-4147.00050","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T13:26:52Z","timestamp":1663248412000},"score":24.11823,"resource":{"primary":{"URL":"http:\/\/www.math.uni.wroc.pl\/~pms\/publicationsArticle.php?doi=10.37190\/0208-4147.00050"}},"issued":{"date-parts":[[2022]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.37190\/0208-4147.00050","published":{"date-parts":[[2022]]}},{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T17:23:58Z","timestamp":1649093038358},"reference-count":0,"publisher":"Princeton University Press","content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2017,12,31]]},"DOI":"10.1515\/9781400886814-010","type":"book-chapter","created":{"date-parts":[[2017,7,5]],"date-time":"2017-07-05T10:01:38Z","timestamp":1499248898000},"page":"275-294","source":"Crossref","is-referenced-by-count":0,"title":["Section 5. Various Discrete and Geometrical Probabilities"],"prefix":"10.1515","member":"374","container-title":["Guide to Tables in Mathematical Statistics"],"link":[{"URL":"https:\/\/princetonup.degruyter.com\/view\/book\/9781400886814\/10.1515\/9781400886814-010.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/9781400886814-010\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/9781400886814-010\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T12:49:27Z","timestamp":1618922967000},"score":23.785719,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/9781400886814-010\/html"}},"issued":{"date-parts":[[2017,12,31]]},"references-count":0,"alternative-id":["10.1515\/9781400886814-010","10.1515\/9781400886814"],"URL":"https:\/\/doi.org\/10.1515\/9781400886814-010","published":{"date-parts":[[2017,12,31]]}},{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T17:15:47Z","timestamp":1723050947925},"reference-count":10,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2016,11,1]],"date-time":"2016-11-01T00:00:00Z","timestamp":1477958400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"funder":[{"name":"Berlin Mathematical School"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Statistics &amp; Probability Letters"],"published-print":{"date-parts":[[2016,11]]},"DOI":"10.1016\/j.spl.2016.06.011","type":"journal-article","created":{"date-parts":[[2016,7,8]],"date-time":"2016-07-08T08:16:33Z","timestamp":1467965793000},"page":"163-170","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":6,"special_numbering":"C","title":["The Monte Carlo computation error of transition probabilities"],"prefix":"10.1016","volume":"118","author":[{"given":"Adam","family":"Nielsen","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.spl.2016.06.011_br000005","series-title":"Ma\u00df und Integrationstheorie","author":"Bauer","year":"1992"},{"key":"10.1016\/j.spl.2016.06.011_br000010","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/0167-7152(94)00085-M","article-title":"Rates of convergence for everywhere-positive Markov chains","volume":"22","author":"Baxter","year":"1995","journal-title":"Statist. Probab. Lett."},{"key":"10.1016\/j.spl.2016.06.011_br000015","series-title":"The General Temporally Discrete Markoff Process, Vol. 3","author":"Hopf","year":"1954"},{"key":"10.1016\/j.spl.2016.06.011_br000020","series-title":"Metastability of Markovian systems","author":"Huisinga","year":"2001"},{"key":"10.1016\/j.spl.2016.06.011_br000025","series-title":"Learning in Graphical Models","first-page":"175","article-title":"Introduction to Monte Carlo methods","author":"MacKay","year":"1998"},{"key":"10.1016\/j.spl.2016.06.011_br000030","series-title":"Markov Chains and Stochastic Stability","author":"Meyn","year":"2009"},{"key":"10.1016\/j.spl.2016.06.011_br000035","series-title":"Stochastic Processes and Applications","author":"Pavliotis","year":"2014"},{"key":"10.1016\/j.spl.2016.06.011_br000040","series-title":"Markov Chains","author":"Revuz","year":"1984"},{"key":"10.1016\/j.spl.2016.06.011_br000045","series-title":"Metastability and Markov State Models in Molecular Dynamics: Modeling, Analysis, Algorithmic Approaches","author":"Sch\u00fctte","year":"2014"},{"key":"10.1016\/j.spl.2016.06.011_br000050","first-page":"1","article-title":"A critical appraisal of Markov state models","author":"Sch\u00fctte","year":"2015","journal-title":"Eur. Phys. J. Spec. Top."}],"container-title":["Statistics &amp; Probability Letters"],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167715216300931?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167715216300931?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,9,10]],"date-time":"2018-09-10T13:27:32Z","timestamp":1536586052000},"score":23.715532,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167715216300931"}},"issued":{"date-parts":[[2016,11]]},"references-count":10,"alternative-id":["S0167715216300931"],"URL":"https:\/\/doi.org\/10.1016\/j.spl.2016.06.011","ISSN":["0167-7152"],"issn-type":[{"value":"0167-7152","type":"print"}],"published":{"date-parts":[[2016,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The Monte Carlo computation error of transition probabilities","name":"articletitle","label":"Article Title"},{"value":"Statistics & Probability Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.spl.2016.06.011","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2016 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}]},{"indexed":{"date-parts":[[2026,4,4]],"date-time":"2026-04-04T05:38:33Z","timestamp":1775281113353,"version":"3.50.1"},"reference-count":0,"publisher":"Institute of Mathematical Statistics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Math. Statist."],"published-print":{"date-parts":[[1958,6]]},"DOI":"10.1214\/aoms\/1177706633","type":"journal-article","created":{"date-parts":[[2007,12,17]],"date-time":"2007-12-17T22:41:14Z","timestamp":1197931274000},"page":"571-575","source":"Crossref","is-referenced-by-count":33,"title":["Probabilities of Hypotheses and Information-Statistics in Sampling from Exponential-Class Populations"],"prefix":"10.1214","volume":"29","author":[{"given":"Morton","family":"Kupperman","sequence":"first","affiliation":[]}],"member":"108","container-title":["The Annals of Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdf_1\/euclid.aoms\/1177706633","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T14:16:32Z","timestamp":1494425792000},"score":23.557796,"resource":{"primary":{"URL":"http:\/\/projecteuclid.org\/euclid.aoms\/1177706633"}},"issued":{"date-parts":[[1958,6]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1958,6]]}},"URL":"https:\/\/doi.org\/10.1214\/aoms\/1177706633","ISSN":["0003-4851"],"issn-type":[{"value":"0003-4851","type":"print"}],"published":{"date-parts":[[1958,6]]}},{"indexed":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T15:07:36Z","timestamp":1746457656935},"reference-count":0,"publisher":"Institute of Mathematical Statistics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Math. Statist."],"published-print":{"date-parts":[[1963,9]]},"DOI":"10.1214\/aoms\/1177704019","type":"journal-article","created":{"date-parts":[[2007,12,17]],"date-time":"2007-12-17T22:52:20Z","timestamp":1197931940000},"page":"967-972","source":"Crossref","is-referenced-by-count":16,"title":["Estimating Ordered Probabilities"],"prefix":"10.1214","volume":"34","author":[{"given":"Morris W.","family":"Katz","sequence":"first","affiliation":[]}],"member":"108","container-title":["The Annals of Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdf_1\/euclid.aoms\/1177704019","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T14:21:35Z","timestamp":1494426095000},"score":23.541946,"resource":{"primary":{"URL":"http:\/\/projecteuclid.org\/euclid.aoms\/1177704019"}},"issued":{"date-parts":[[1963,9]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1963,9]]}},"URL":"https:\/\/doi.org\/10.1214\/aoms\/1177704019","ISSN":["0003-4851"],"issn-type":[{"value":"0003-4851","type":"print"}],"published":{"date-parts":[[1963,9]]}},{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T01:50:38Z","timestamp":1772329838711,"version":"3.50.1"},"reference-count":11,"publisher":"AIP Publishing","issue":"8","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"published-print":{"date-parts":[[2010,8,1]]},"abstract":"<jats:p>It is well-known that a quantum measurement can enhance the transition probability between two quantum states. Such a measurement operates after preparation of the initial state and before postselecting for the final state. Here we analyze this kind of scenario in detail and determine which probability distributions on a finite number of outcomes can occur for an intermediate measurement with postselection, for given values of the following two quantities: (i) the transition probability without measurement and (ii) the transition probability with measurement. This is done for both the cases of projective measurements and of generalized measurements. Among other constraints, this quantifies a trade-off between high randomness in a projective measurement and high measurement-modified transition probability. An intermediate projective measurement can enhance a transition probability such that the failure probability decreases by a factor of up to 2, but not by more.<\/jats:p>","DOI":"10.1063\/1.3479748","type":"journal-article","created":{"date-parts":[[2010,8,19]],"date-time":"2010-08-19T23:05:04Z","timestamp":1282259104000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":2,"title":["Transition probabilities and measurement statistics of postselected ensembles"],"prefix":"10.1063","volume":"51","author":[{"given":"Tobias","family":"Fritz","sequence":"first","affiliation":[{"name":"Max Planck Institute for Mathematics , Vivatsgasse 7, Bonn 53111, Germany"}]}],"member":"317","published-online":{"date-parts":[[2010,8,18]]},"reference":[{"key":"2023073123573717000_c1","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1103\/PhysRevLett.60.1351","article-title":"How the result of a measurement of a component of the spin of a spin-1\/2 particle can turn out to be 100","volume":"60","year":"1988","journal-title":"Phys. Rev. Lett."},{"key":"2023073123573717000_c2","doi-asserted-by":"publisher","first-page":"B1410","DOI":"10.1103\/PhysRev.134.B1410","article-title":"Time symmetry in the quantum process of measurement","volume":"134","year":"1964","journal-title":"Phys. Rev."},{"key":"2023073123573717000_c3","doi-asserted-by":"publisher","first-page":"2235","DOI":"10.1103\/PhysRevD.21.2235","article-title":"Meaning of an individual \u2018Feynman path\u2019","volume":"21","year":"1980","journal-title":"Phys. Rev. D"},{"key":"2023073123573717000_c4","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1007\/978-3-540-73473-4_13","volume-title":"Time in Quantum Mechanics","year":"2007"},{"key":"2023073123573717000_c5","doi-asserted-by":"publisher","first-page":"052103","DOI":"10.1063\/1.3377969","article-title":"On the existence of quantum representations for two dichotomic measurements","volume":"51","year":"2010","journal-title":"J. Math. Phys."},{"key":"2023073123573717000_c6","doi-asserted-by":"publisher","first-page":"107902","DOI":"10.1103\/PhysRevLett.90.107902","article-title":"One-qubit reduced states of a pure many-qubit state: Polygon inequalities","volume":"90","year":"2003","journal-title":"Phys. Rev. Lett."},{"key":"2023073123573717000_c7","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1111\/j.2006.0030-1299.14714.x","article-title":"Entropy and diversity","volume":"113","year":"2006","journal-title":"Oikos"},{"key":"2023073123573717000_c8","volume-title":"Quantum Computation and Quantum Information","year":"2000"},{"key":"2023073123573717000_c9","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/BFb0104404","volume-title":"Open Systems and Measurement in Relativistic Quantum Theory","year":"1999"},{"key":"2023073123573717000_c10","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1007\/s00022-005-1752-8","article-title":"Cyclic polygons with given edge lengths: existence and uniqueness","volume":"82","year":"2005","journal-title":"J. Geom."},{"key":"2023073123573717000_c11"}],"container-title":["Journal of Mathematical Physics"],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/jmp\/article-pdf\/doi\/10.1063\/1.3479748\/11147488\/082105_1_online.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/jmp\/article-pdf\/doi\/10.1063\/1.3479748\/11147488\/082105_1_online.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T23:57:43Z","timestamp":1690847863000},"score":23.541946,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/jmp\/article\/51\/8\/082105\/919944\/Transition-probabilities-and-measurement"}},"issued":{"date-parts":[[2010,8,1]]},"references-count":11,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2010,8,1]]}},"URL":"https:\/\/doi.org\/10.1063\/1.3479748","ISSN":["0022-2488","1089-7658"],"issn-type":[{"value":"0022-2488","type":"print"},{"value":"1089-7658","type":"electronic"}],"published-other":{"date-parts":[[2010,8]]},"published":{"date-parts":[[2010,8,1]]},"article-number":"082105"},{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T18:23:00Z","timestamp":1771870980000,"version":"3.50.1"},"reference-count":0,"publisher":"Institute of Mathematical Statistics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Math. Statist."],"published-print":{"date-parts":[[1955,3]]},"DOI":"10.1214\/aoms\/1177728608","type":"journal-article","created":{"date-parts":[[2007,12,17]],"date-time":"2007-12-17T22:34:19Z","timestamp":1197930859000},"page":"147-149","source":"Crossref","is-referenced-by-count":29,"title":["An Inequality on Poisson Probabilities"],"prefix":"10.1214","volume":"26","author":[{"given":"Henry","family":"Teicher","sequence":"first","affiliation":[]}],"member":"108","container-title":["The Annals of Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdf_1\/euclid.aoms\/1177728608","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T14:14:09Z","timestamp":1494425649000},"score":23.271492,"resource":{"primary":{"URL":"http:\/\/projecteuclid.org\/euclid.aoms\/1177728608"}},"issued":{"date-parts":[[1955,3]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1955,3]]}},"URL":"https:\/\/doi.org\/10.1214\/aoms\/1177728608","ISSN":["0003-4851"],"issn-type":[{"value":"0003-4851","type":"print"}],"published":{"date-parts":[[1955,3]]}},{"indexed":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T00:07:17Z","timestamp":1703117237783},"reference-count":0,"publisher":"Kyushu University","issue":"1\/2","content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[1978,3]]},"DOI":"10.5109\/13124","type":"journal-article","created":{"date-parts":[[2020,5,16]],"date-time":"2020-05-16T22:07:27Z","timestamp":1589666847000},"page":"69-80","source":"Crossref","is-referenced-by-count":0,"title":["THE CALUCULATION OF LIMIT PROBABILITIES FOR MARKOV JUMP PROCESSES"],"prefix":"10.5109","volume":"18","author":[{"given":"Masami","family":"Yasuda","sequence":"first","affiliation":[{"name":"Statistical Laboratory, College of General Education, Chiba University"}]}],"member":"3044","container-title":["Bulletin of Mathematical Statistics"],"language":"en","deposited":{"date-parts":[[2023,12,20]],"date-time":"2023-12-20T22:14:10Z","timestamp":1703110450000},"score":23.017485,"resource":{"primary":{"URL":"https:\/\/hdl.handle.net\/2324\/13124"}},"issued":{"date-parts":[[1978,3]]},"references-count":0,"journal-issue":{"issue":"1\/2","published-print":{"date-parts":[[1978]]}},"URL":"https:\/\/doi.org\/10.5109\/13124","ISSN":["0007-4993"],"issn-type":[{"value":"0007-4993","type":"print"}],"published":{"date-parts":[[1978,3]]}},{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:04:34Z","timestamp":1761743074946},"publisher-location":"Beachwood, Ohio, USA","reference-count":0,"publisher":"Institute of Mathematical Statistics","isbn-type":[{"value":"9780940600744","type":"print"},{"value":"0940600749","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"published-print":{"date-parts":[[2008]]},"DOI":"10.1214\/193940307000000491","type":"book-chapter","created":{"date-parts":[[2008,4,22]],"date-time":"2008-04-22T21:18:06Z","timestamp":1208899086000},"page":"289-301","source":"Crossref","is-referenced-by-count":2,"title":["DNA Probabilities in People v. Prince : When are racial and ethnic statistics relevant?"],"prefix":"10.1214","author":[{"given":"David H.","family":"Kaye","sequence":"first","affiliation":[]}],"member":"108","container-title":["Institute of Mathematical Statistics Collections","Probability and Statistics: Essays in Honor of David A. Freedman"],"language":"en","link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdf_1\/euclid.imsc\/1207580089","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T13:59:45Z","timestamp":1494424785000},"score":22.986307,"resource":{"primary":{"URL":"http:\/\/projecteuclid.org\/euclid.imsc\/1207580089"}},"issued":{"date-parts":[[2008]]},"ISBN":["9780940600744","0940600749"],"references-count":0,"URL":"https:\/\/doi.org\/10.1214\/193940307000000491","published":{"date-parts":[[2008]]}},{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T10:46:09Z","timestamp":1648896369870},"reference-count":0,"publisher":"JSTOR","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of the Royal Statistical Society"],"published-print":{"date-parts":[[1916,7]]},"DOI":"10.2307\/2341006","type":"journal-article","created":{"date-parts":[[2006,6,18]],"date-time":"2006-06-18T06:32:04Z","timestamp":1150612324000},"page":"521","source":"Crossref","is-referenced-by-count":0,"title":["The Mathematical Theory of Probabilities and Its Application to Frequency Curves and Statistical Methods. Volume I. Mathematical Probabilities and Homograde Statistics."],"prefix":"10.2307","volume":"79","author":[{"given":"M.","family":"G.","sequence":"first","affiliation":[]},{"given":"Arne","family":"Fisher","sequence":"additional","affiliation":[]},{"given":"William","family":"Bonynge","sequence":"additional","affiliation":[]}],"member":"1121","container-title":["Journal of the Royal Statistical Society"],"deposited":{"date-parts":[[2018,4,18]],"date-time":"2018-04-18T18:37:18Z","timestamp":1524076638000},"score":22.973576,"resource":{"primary":{"URL":"https:\/\/www.jstor.org\/stable\/10.2307\/2341006?origin=crossref"}},"issued":{"date-parts":[[1916,7]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1916,7]]}},"URL":"https:\/\/doi.org\/10.2307\/2341006","ISSN":["0952-8385"],"issn-type":[{"value":"0952-8385","type":"print"}],"published":{"date-parts":[[1916,7]]}},{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T22:29:15Z","timestamp":1649024955587},"reference-count":0,"publisher":"Institute of Mathematical Statistics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Math. Statist."],"published-print":{"date-parts":[[1958,12]]},"DOI":"10.1214\/aoms\/1177706462","type":"journal-article","created":{"date-parts":[[2007,12,17]],"date-time":"2007-12-17T17:42:13Z","timestamp":1197913333000},"page":"1278-1278","source":"Crossref","is-referenced-by-count":0,"title":["Correction to \"Probabilities of Hypotheses and Information-Statistics in Sampling From Exponential-Class Populations\""],"prefix":"10.1214","volume":"29","author":[{"given":"Morton","family":"Kupperman","sequence":"first","affiliation":[]}],"member":"108","container-title":["The Annals of Mathematical Statistics"],"language":"en","link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdf_1\/euclid.aoms\/1177706462","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T10:17:02Z","timestamp":1494411422000},"score":22.921486,"resource":{"primary":{"URL":"http:\/\/projecteuclid.org\/euclid.aoms\/1177706462"}},"issued":{"date-parts":[[1958,12]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1958,12]]}},"URL":"https:\/\/doi.org\/10.1214\/aoms\/1177706462","ISSN":["0003-4851"],"issn-type":[{"value":"0003-4851","type":"print"}],"published":{"date-parts":[[1958,12]]}}],"items-per-page":20,"query":{"start-index":0,"search-terms":"Probabilities.+Mathematical+statistics"}}}