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Large deviations and moderate deviations for the chi-square test in type II error

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Wuhan University Journal of Natural Sciences

Abstract

We study the asymptotics for the statistic of chi-square in type II error. By the contraction principle, the large deviations and moderate deviations are obtained, and the rate function of moderate deviations can be calculated explicitly which is a squared function.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China

    Hui Jiang & Fuqing Gao

Authors
  1. Hui Jiang
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  2. Fuqing Gao
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Corresponding author

Correspondence to Fuqing Gao.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (10571139)

Biography: JIANG Hui (1981–), male, Ph.D. candidate, research direction: large deviation.

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Jiang, H., Gao, F. Large deviations and moderate deviations for the chi-square test in type II error. Wuhan Univ. J. Nat. Sci. 13, 129–132 (2008). https://doi.org/10.1007/s11859-008-0201-6

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  • DOI: https://doi.org/10.1007/s11859-008-0201-6

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