Miscugli meno favorevoli - Piero Quatto - Vita e Pensiero - Articolo Statistica & Applicazioni

Miscugli meno favorevoli

digital Miscugli meno favorevoli
Article
Journal STATISTICA & APPLICAZIONI
Issue STATISTICA & APPLICAZIONI - 2003 - 2
Title Miscugli meno favorevoli
Author
Publisher Vita e Pensiero
Format Article | Pdf
Online da 09-2017
Issn 1824-6672 (print) | 2283-6659 (digital)
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In the Neyman-Pearson Theory the notion of least favorable mixture provides a reduction of a composite null hypothesis to a simple one that is equivalent for finding a most powerful test against a simple alternative.
The aim of this paper is to prove a property of mixtures from which follows Lehmann-Stein Theorem (1948) connecting least favorable mixtures with most powerful tests.
As application classical χ2 test for the variance of a Normal distribution with unknown mean is considered.

Keywords: Most Powerful Test, Neyman-Pearson Theory, Least Favorable Mixture.


Author biography

Piero Quatto, Dipartimento di Statistica – Università degli Studi di Milano-Bicocca via Bicocca degli Arcimboldi, 8 - 20126 Milano (e-mail: piero.quatto@unimib.it).

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