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Testing for the maximum cell probabilities in multinomial distributions

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Abstract

This paper investigates one-sided hypotheses testing forp [1], the largest cell probability of multinomial distribution. A small sample test of Ethier (1982) is extended to the general cases. Based on an estimator ofp [1], a kind of large sample tests is proposed. The asymptotic power of the above tests under local alternatives is derived. An example is presented at the end of this paper.

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Authors and Affiliations

  1. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, China

    Xiong Shifeng & Li Guoying

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  1. Xiong Shifeng
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  2. Li Guoying
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Correspondence to Li Guoying.

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Shifeng, X., Guoying, L. Testing for the maximum cell probabilities in multinomial distributions. Sci. China Ser. A-Math. 48, 972–985 (2005). https://doi.org/10.1007/BF02879078

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  • DOI: https://doi.org/10.1007/BF02879078

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