Lower bounds for the expected sample size in the classical and d-posterior statistical problems

In this report, the problem of construction of lower boundaries for the expected sample size of statistical inference procedures has been considered. The general methodology for construction of the lower bounds and the review of the main results for the classical statistical problems have been prese...

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Main Authors: I.A. Kareev, I.N. Volodin
Format: Article
Language:English
Published: Kazan Federal University 2018-06-01
Series:Учёные записки Казанского университета. Серия Физико-математические науки
Subjects:
Online Access:https://kpfu.ru/lower-bounds-for-the-expected-sample-size-in-the.html
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author I.A. Kareev
I.N. Volodin
author_facet I.A. Kareev
I.N. Volodin
author_sort I.A. Kareev
collection DOAJ
description In this report, the problem of construction of lower boundaries for the expected sample size of statistical inference procedures has been considered. The general methodology for construction of the lower bounds and the review of the main results for the classical statistical problems have been presented along with the analysis of the new and earlier results on adoption of the technique to the d-posterior approach. Namely, the hypothesis testing problem has been considered.
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spelling doaj.art-488443b3d57f4819a4d5289ff4fe2f402022-12-22T04:39:17ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982018-06-011602309316Lower bounds for the expected sample size in the classical and d-posterior statistical problemsI.A. Kareev0I.N. Volodin1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaIn this report, the problem of construction of lower boundaries for the expected sample size of statistical inference procedures has been considered. The general methodology for construction of the lower bounds and the review of the main results for the classical statistical problems have been presented along with the analysis of the new and earlier results on adoption of the technique to the d-posterior approach. Namely, the hypothesis testing problem has been considered.https://kpfu.ru/lower-bounds-for-the-expected-sample-size-in-the.htmlexpected sample sizelower boundsefficiencyd -posterior approachbayesian paradigmhypothesis testing
spellingShingle I.A. Kareev
I.N. Volodin
Lower bounds for the expected sample size in the classical and d-posterior statistical problems
Учёные записки Казанского университета. Серия Физико-математические науки
expected sample size
lower bounds
efficiency
d -posterior approach
bayesian paradigm
hypothesis testing
title Lower bounds for the expected sample size in the classical and d-posterior statistical problems
title_full Lower bounds for the expected sample size in the classical and d-posterior statistical problems
title_fullStr Lower bounds for the expected sample size in the classical and d-posterior statistical problems
title_full_unstemmed Lower bounds for the expected sample size in the classical and d-posterior statistical problems
title_short Lower bounds for the expected sample size in the classical and d-posterior statistical problems
title_sort lower bounds for the expected sample size in the classical and d posterior statistical problems
topic expected sample size
lower bounds
efficiency
d -posterior approach
bayesian paradigm
hypothesis testing
url https://kpfu.ru/lower-bounds-for-the-expected-sample-size-in-the.html
work_keys_str_mv AT iakareev lowerboundsfortheexpectedsamplesizeintheclassicalanddposteriorstatisticalproblems
AT involodin lowerboundsfortheexpectedsamplesizeintheclassicalanddposteriorstatisticalproblems