{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,8]],"date-time":"2025-02-08T13:40:08Z","timestamp":1739022008114,"version":"3.37.0"},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540879862"},{"type":"electronic","value":"9783540879879"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-3-540-87987-9_16","type":"book-chapter","created":{"date-parts":[[2009,3,17]],"date-time":"2009-03-17T11:20:06Z","timestamp":1237288806000},"page":"154-168","source":"Crossref","is-referenced-by-count":0,"title":["Prequential Randomness"],"prefix":"10.1007","author":[{"given":"Vladimir","family":"Vovk","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Shen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"16_CR1","volume-title":"Caract\u00e9risations de l\u2019al\u00e9atoire par les jeux: impredictibilit\u00e9 et stochasticit\u00e9","author":"L. Bienvenu","year":"2008","unstructured":"Bienvenu, L.: Caract\u00e9risations de l\u2019al\u00e9atoire par les jeux: impredictibilit\u00e9 et stochasticit\u00e9. PhD thesis, Universit\u00e9 de Provence (2008)"},{"key":"16_CR2","unstructured":"Chernov, A., Shen, A., Vereshchagin, N., Vovk, V.: On-line probability, complexity and randomness. These Proceedings"},{"key":"16_CR3","doi-asserted-by":"publisher","first-page":"278","DOI":"10.2307\/2981683","volume":"147","author":"A.P. Dawid","year":"1984","unstructured":"Dawid, A.P.: Statistical theory: the prequential approach. Journal of the Royal Statistical Society A\u00a0147, 278\u2013292 (1984)","journal-title":"Journal of the Royal Statistical Society A"},{"key":"16_CR4","doi-asserted-by":"publisher","first-page":"1251","DOI":"10.1214\/aos\/1176349736","volume":"13","author":"A.P. Dawid","year":"1985","unstructured":"Dawid, A.P.: Calibration-based empirical probability (with discussion). Annals of Statistics\u00a013, 1251\u20131285 (1985)","journal-title":"Annals of Statistics"},{"key":"16_CR5","first-page":"464","volume-title":"Encyclopedia of Statistical Sciences","author":"A.P. Dawid","year":"1997","unstructured":"Dawid, A.P.: Prequential analysis. In: Kotz, S., Read, C.B., Banks, D.L. (eds.) Encyclopedia of Statistical Sciences, vol.\u00a01, pp. 464\u2013470. Wiley, New York (1997)"},{"key":"16_CR6","doi-asserted-by":"publisher","first-page":"125","DOI":"10.2307\/3318616","volume":"5","author":"A.P. Dawid","year":"1999","unstructured":"Dawid, A.P., Vovk, V.: Prequential probability: principles and properties. Bernoulli\u00a05, 125\u2013162 (1999)","journal-title":"Bernoulli"},{"key":"16_CR7","volume-title":"General Topology","author":"R. Engelking","year":"1989","unstructured":"Engelking, R.: General Topology, 2nd edn. Heldermann, Berlin (1989)","edition":"2"},{"key":"16_CR8","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1002\/malq.19800262502","volume":"26","author":"P. G\u00e1cs","year":"1980","unstructured":"G\u00e1cs, P.: Exact expressions for some randomness tests. Zeitschrift f\u00fcr Mathematische Logik und Grundlagen der Mathematik\u00a026, 385\u2013394 (1980)","journal-title":"Zeitschrift f\u00fcr Mathematische Logik und Grundlagen der Mathematik"},{"key":"16_CR9","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.tcs.2005.03.054","volume":"341","author":"P. G\u00e1cs","year":"2005","unstructured":"G\u00e1cs, P.: Uniform test of algorithmic randomness over a general space. Theoretical Computer Science\u00a0341, 91\u2013137 (2005)","journal-title":"Theoretical Computer Science"},{"key":"16_CR10","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1002\/j.1538-7305.1956.tb03809.x","volume":"35","author":"J.L. Kelly","year":"1956","unstructured":"Kelly, J.L.: A new interpretation of information rate. Bell System Technical Journal\u00a035, 917\u2013926 (1956)","journal-title":"Bell System Technical Journal"},{"key":"#cr-split#-16_CR11.1","doi-asserted-by":"crossref","unstructured":"Kolmogorov, A.N., Uspensky, V.A.: Algorithms and randomness. Theory of Probability and Its Applications??32, 389???412 (1987);","DOI":"10.1137\/1132060"},{"key":"#cr-split#-16_CR11.2","unstructured":"Teop???? ??epo????????????e?? ?? ee ??p????e??e?????? 32(3), 425???455 (1987) (Russian original)"},{"issue":"1","key":"16_CR12","first-page":"1413","volume":"14","author":"L.A. Levin","year":"1973","unstructured":"Levin, L.A.: On the notion of a random sequence. Soviet Mathematics Doklady\u00a014, 1413\u20131416 (1973); \u0414\u043e\u043a\u043b\u0430\u0434\u044b AN SSSR 212(1), 548\u2013550 (1973) (Russian original)","journal-title":"Soviet Mathematics Doklady"},{"key":"16_CR13","unstructured":"Levin, L.A.: Uniform tests of randomness. Soviet Mathematics Doklady\u00a017, 337\u2013340 (1976); \u0414\u043e\u043a\u043b\u0430\u0434\u044b AN SSSR 227(1), 33\u201335, (1976) (Russian original) Erratum: 227(1), 33\u201335 (1976)"},{"key":"16_CR14","doi-asserted-by":"publisher","first-page":"602","DOI":"10.1016\/S0019-9958(66)80018-9","volume":"9","author":"P. Martin-L\u00f6f","year":"1966","unstructured":"Martin-L\u00f6f, P.: The definition of random sequences. Information and Control\u00a09, 602\u2013619 (1966)","journal-title":"Information and Control"},{"key":"16_CR15","volume-title":"Notes on Constructive Mathematics","author":"P. Martin-L\u00f6f","year":"1970","unstructured":"Martin-L\u00f6f, P.: Notes on Constructive Mathematics. Almqvist & Wiksell, Stockholm (1970)"},{"key":"16_CR16","doi-asserted-by":"publisher","first-page":"669","DOI":"10.1093\/biomet\/82.4.669","volume":"82","author":"J. Pearl","year":"1995","unstructured":"Pearl, J.: Causal diagrams for empirical research (with discussion). Biometrika\u00a082, 669\u2013710 (1995)","journal-title":"Biometrika"},{"key":"16_CR17","first-page":"103","volume-title":"Computational Learning and Probabilistic Reasoning","author":"J. Pearl","year":"1996","unstructured":"Pearl, J.: Causation, action and counterfactuals. In: Gammerman, A. (ed.) Computational Learning and Probabilistic Reasoning, ch.\u00a06, pp. 103\u2013124. Wiley, Chichester (1996)"},{"key":"16_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0112459","volume-title":"Zuf\u00e4lligkeit und Wahrscheinlichkeit","author":"C.P. Schnorr","year":"1971","unstructured":"Schnorr, C.P.: Zuf\u00e4lligkeit und Wahrscheinlichkeit. Springer, Berlin (1971)"},{"key":"16_CR19","doi-asserted-by":"crossref","DOI":"10.1002\/0471249696","volume-title":"Probability and Finance: It\u2019s Only a Game!","author":"G. Shafer","year":"2001","unstructured":"Shafer, G., Vovk, V.: Probability and Finance: It\u2019s Only a Game. Wiley, New York (2001)"},{"key":"16_CR20","volume-title":"Etude critique de la notion de collectif","author":"J. Ville","year":"1939","unstructured":"Ville, J.: Etude critique de la notion de collectif. Gauthier-Villars, Paris (1939)"},{"key":"16_CR21","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1111\/j.2517-6161.1993.tb01482.x","volume":"55","author":"V. Vovk","year":"1993","unstructured":"Vovk, V., V\u2019yugin, V.V.: On the empirical validity of the Bayesian method. Journal of Royal Statistical Society B\u00a055, 253\u2013266 (1993)","journal-title":"Journal of Royal Statistical Society B"}],"container-title":["Lecture Notes in Computer Science","Algorithmic Learning Theory"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-87987-9_16.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,8]],"date-time":"2025-02-08T13:08:00Z","timestamp":1739020080000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-87987-9_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540879862","9783540879879"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-87987-9_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2008]]}}}