Please use this identifier to cite or link to this item:
http://repository.tma.uz/xmlui/handle/1/5505
Title: | Remarks on the Pitman’s Efficiency of Goodness of Fit Tests Based on Grouped Data |
Authors: | Bozarov, Ulug'bek, Alisher o'g'li |
Keywords: | Asymptotic efficiency, chi-square statistic, goodness of fit, multinomial distribution, power divergence statistics. |
Issue Date: | 12-Dec-2022 |
Publisher: | Uzbek Mathematical Journal |
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. |
URI: | http://repository.tma.uz/xmlui/handle/1/5505 |
ISSN: | 1111 |
Appears in Collections: | Thesis, Articles |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.