Miscugli meno favorevoli

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Miscugli meno favorevoli

Author

Piero Quatto

Publisher

Vita e Pensiero

Format

Article |

Pdf

Online from

09-2017

Issn

1824-6672 (print) | 2283-6659 (digital)

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Description Readers' comments

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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