Verifiche d’ipotesi su medie aritmetiche ponderate dei parametri di una variabile casuale multinomiale

Name: Verifiche d’ipotesi su medie aritmetiche ponderate dei parametri di una variabile casuale multinomiale
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Verifiche d’ipotesi su medie aritmetiche ponderate dei parametri di una variabile casuale multinomiale

Author

Alessandro Zini

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

09-2017

Issn

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

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Description Readers' comments

In this work the hypothesis testing problem that a weighted mean of the probabilities of a multinomial distribution does not exceed a target value, with unilateral alterative will be studyed. Two kinds of tests will be considered: an “analigical” test and a likelihood ratio-based test. The former, though not asymptotically similar, turns out to be useful in finding the sample size when both error probabilities are fixed. The latter, which is asymptotically optimal, is good when the sample size is not less than 50.

Keywords: Distribuzioni esatte , Rapporto di verosimiglianza, Stimatore BAN.