Remarks on the Pitman’s Eﬃciency of Goodness of Fit Tests Based on Grouped Data

Bozarov, Ulug'bek, Alisher o'g'li

dc.contributor.author	Bozarov, Ulug'bek, Alisher o'g'li
dc.date.accessioned	2022-12-24T12:12:50Z
dc.date.available	2022-12-24T12:12:50Z
dc.date.issued	2022-12-12
dc.identifier.issn	1111
dc.identifier.uri	http://repository.tma.uz/xmlui/handle/1/5505
dc.description.abstract	We consider the problem of testing the goodness of ﬁt of a continuous distribution to a set of observations grouped into equal probability intervals. We are interested in a class of tests based on symmetric statistics, which are deﬁned as the sum of a function of interval-frequencies. The eﬀect of changing of the number of intervals on the Pitman eﬃciency for a family of contamination alternatives is studied. It is assumed that the number of intervals increases asymptotically as the number of observations grows.	en_US
dc.publisher	Uzbek Mathematical Journal	en_US
dc.subject	Asymptotic eﬃciency, chi-square statistic, goodness of ﬁt, multinomial distribution, power divergence statistics.	en_US
dc.title	Remarks on the Pitman’s Eﬃciency of Goodness of Fit Tests Based on Grouped Data	en_US