Cressie and Read (J. Roy. Statist. Soc. B 46 (1984) introduced the power divergence statistics, R a ; as multinomial goodness-of-fit statistics. Each R a has a limiting noncentral chi-square distribution under a local alternative and has a limiting normal distribution under a nonlocal alternative. T
Approximations of the Distributions of Test Statistics for Homogeneity of a Product Multinomial Model
β Scribed by Taneichi, Nobuhiro; Sekiya, Yuri
- Book ID
- 126547978
- Publisher
- Taylor and Francis Group
- Year
- 2008
- Tongue
- English
- Weight
- 199 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0361-0926
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introduced a class of multinomial goodness-of-fit statistics R a based on power divergence. All R a have the same chi-square limiting distribution under null hypothesis and have the same noncentral chi-square limiting distribution under local alternatives. In this paper, we investigate asymptotic ap
We consider f-disparities D f ( pn ; p n ) between discrete distributions p n = (p n1 ; : : : ; p nkn ) and their estimates pn = ( pn1 ; : : : ; pnkn ) based on relative frequencies in an i.i.d. sample of size n, where f : (0; β) β R is twice continuously di erentiable in a neighborhood of 1 with f