{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T18:05:33Z","timestamp":1791309933996,"version":"4.3.1"},"reference-count":50,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[1953,1,1]],"date-time":"1953-01-01T00:00:00Z","timestamp":-536457600000},"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":[[1953,1,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>The literature on sequential estimation is reviewed, with special reference to inverse binomial sampling, double sampling, and asymptotic theory. An approximate distribution for the sample size is found for a certain type of sequential sampling rule, in which a cumulative sum of independent random variables all having the same continuous distribution is plotted against their number until a fixed boundary is first reached or crossed. Approximate methods are given for solving a number of particular problems, including (i) estimating the mean of a normal population by a confidence interval of prescribed width and coefficient, when the population variance is unknown, and (ii) estimating the parameters of a simple birth-death process so that the difference between the birth rate and the death rate is estimated with prescribed standard error. The possible usefulness of sequential estimation procedures is discussed.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1953.tb00121.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T02:03:15Z","timestamp":1544148195000},"page":"1-21","source":"Crossref","is-referenced-by-count":171,"title":["Sequential Estimation"],"prefix":"10.1093","volume":"15","author":[{"given":"F. J.","family":"Anscombe","sequence":"first","affiliation":[{"name":"Statistical Laboratory, University of Cambridge"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090920091537600_cit1","doi-asserted-by":"crossref","first-page":"180","DOI":"10.2307\/2981139","volume":"112","author":"Anscombe","year":"1949","journal-title":"J. R. Statist. 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