{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T10:14:23Z","timestamp":1791886463973,"version":"4.3.4"},"reference-count":9,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[1982,1,1]],"date-time":"1982-01-01T00:00:00Z","timestamp":378691200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1982,1,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>Three non-parametric estimates of the measure corresponding to a non-decreasing L\u00e9vy process are discussed. Consistency and the limit distributions of the estimates are studied. The empirical process corresponding to one of the estimates is briefly discussed with an anticipation of an application to goodness-of-fit tests.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1982.tb01207.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T07:05:39Z","timestamp":1544166339000},"page":"262-269","source":"Crossref","is-referenced-by-count":29,"title":["Non-Parametric Estimation for Non-Decreasing L\u00e9vy Processes"],"prefix":"10.1093","volume":"44","author":[{"given":"I. V.","family":"Basawa","sequence":"first","affiliation":[{"name":"Department of Mathematical Statistics , La Trobe University , Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"P. J.","family":"Brockwell","sequence":"additional","affiliation":[{"name":"Department of Statistics \u00a0 \u00a0 USA"},{"name":"Colorado State University \u00a0 \u00a0 USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090920501970000_rssb01207-cit-0001","article-title":"Asymptotic theory for estimating the parameters of a L\u00e9vy process","volume-title":"Technical Report","author":"Akritas","year":"1980"},{"key":"2024090920501970000_rssb01207-cit-0002","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1093\/biomet\/65.1.129","article-title":"Inference for gamma and stable processes","volume":"65","author":"Basawa","year":"1978","journal-title":"Biometrika"},{"key":"2024090920501970000_rssb01207-cit-0003","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1093\/biomet\/67.1.234","article-title":"A note on estimation for gamma and stable processes","volume":"67","author":"Basawa","year":"1980","journal-title":"Biometrika"},{"key":"2024090920501970000_rssb01207-cit-0004","volume-title":"Convergence of Probability Measures.","author":"Billingsley","year":"1968"},{"key":"2024090920501970000_rssb01207-cit-0005","volume-title":"Mathematical Methods of Statistics.","author":"Cram\u00e9r","year":"1946"},{"key":"2024090920501970000_rssb01207-cit-0006","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970586","volume-title":"Distribution Theory for Tests based on the Sample Distribution Function.","author":"Durbin","year":"1973"},{"key":"2024090920501970000_rssb01207-cit-0007","volume-title":"An Introduction to Probability Theory and its Applications","author":"Feller","year":"1966"},{"key":"2024090920501970000_rssb01207-cit-0008","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1214\/aop\/1176995085","article-title":"Empirical processes: A survey of results for independent and identically distributed random variables","volume":"7","author":"Gaenssler","year":"1979","journal-title":"Ann. Prob."},{"key":"2024090920501970000_rssb01207-cit-0009","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1214\/aoms\/1177706195","article-title":"Estimating the parameters of a differential process","volume":"30","author":"Rubin","year":"1959","journal-title":"Ann. Math. Statist."}],"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2Fj.2517-6161.1982.tb01207.x","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/44\/2\/262\/49097728\/jrsssb_44_2_262.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/44\/2\/262\/49097728\/jrsssb_44_2_262.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T21:37:22Z","timestamp":1725917842000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/44\/2\/262\/7027680"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982,1,1]]},"references-count":9,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2018,12,5]]},"published-print":{"date-parts":[[1982,1,1]]}},"URL":"https:\/\/doi.org\/10.1111\/j.2517-6161.1982.tb01207.x","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[1982,1]]},"published":{"date-parts":[[1982,1,1]]}}}