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

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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.

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