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О непараметрическом критерии Неймана – Пирсона для проверки сложной гипотезы об одном среднем

The Neyman−Pearson’s problem of developing composit one sample mean test is considered. It is shown that this problem is reduced to the linear programming. The resulting test is general enough, since it does not require knowledge of underlying distribution, nor independence of observations.

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Bibliographic Details
Main Author: Голодников, А.Н.
Format: Article
Language:Russian
Published: Інститут кібернетики ім. В.М. Глушкова НАН України 2006
Series:Теорія оптимальних рішень
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/84947
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Description
Summary:The Neyman−Pearson’s problem of developing composit one sample mean test is considered. It is shown that this problem is reduced to the linear programming. The resulting test is general enough, since it does not require knowledge of underlying distribution, nor independence of observations.