## Suvmary This paper is concerned with the power behaviour of four goodness-of-fit test statistics in sparse multinomials with k cells. Most previous work has been concerned only with both Pearson's Xz and the likelihood ratio test statistics. We consider in this study, two additional test statis
Improvements of goodness-of-fit statistics for sparse multinomials based on normalizing transformations
โ Scribed by Nobuhiro Taneichi; Yuri Sekiya; Hideyuki Imai
- Book ID
- 110547473
- Publisher
- Springer Japan
- Year
- 2003
- Tongue
- English
- Weight
- 912 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0020-3157
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๐ SIMILAR VOLUMES
A class of test statistics is introduced which is based on the Lp-distance between distributions. It is shown to be asymptotically normal both under the null and under the alternatives. The class is easily adaptable to multivariate distributions and to situations when parameters are estimated. It ca
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