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Asymptotics of the minimum sufficient number of observations for d-guaranteed discrimination of two-sided hypotheses

 dc.contributor.author Salimov R.F. dc.contributor.author Simushkin S.V. dc.date.accessioned 2021-02-25T20:33:16Z dc.date.available 2021-02-25T20:33:16Z dc.date.issued 2020 dc.identifier.issn 0040-585X dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/161698 dc.description.abstract © 2020 Society for Industrial and Applied Mathematics. We consider the problem of constructing guarantee procedures of statistical inference with fixed minimal observation number n* for discrimination of two hypotheses H0: θ [θ1, θ2] and H1: θ /[θ1, θ2] with a one-dimensional parameter θ under the so-called d-posterior approach. Here, constraints are placed on the conditional probabilities for the validity of one or another hypothesis under the condition that this hypothesis is rejected. We give an asymptotic formula for n∗in a scheme with severe (tending to zero) constraints on these conditional probabilities of hypotheses. Earlier, Volodin and Novikov found a similar formula for discrimination of one-sided hypotheses. In the present paper, the proof of the asymptotic formula is carried out under weaker constraints on the probability model. The accuracy of our formula is illustrated numerically for some probability models. dc.relation.ispartofseries Theory of Probability and its Applications dc.subject Asymptotic analysis dc.subject Bayesian paradigm dc.subject D-posterior approach dc.subject Discrimination of two hypotheses dc.subject Minimal sample size dc.title Asymptotics of the minimum sufficient number of observations for d-guaranteed discrimination of two-sided hypotheses dc.type Article dc.relation.ispartofseries-issue 1 dc.relation.ispartofseries-volume 65 dc.collection Публикации сотрудников КФУ dc.relation.startpage 49 dc.source.id SCOPUS0040585X-2020-65-1-SID85090662547
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• Публикации сотрудников КФУ Scopus [22633]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.