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Unbiased Estimation in the Non-central Chi-Square Distribution

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  • López-Blázquez, F.

Abstract

We give expansions for unbiased estimators based on the arithmetic mean of an analytic function of the non-centrality parameter of the non-central chi-square distribution. The terms of these expansions depend on the derivatives of the function to be estimated and on certain polynomials which are constructed from the generalized Laguerre polynomials. We also investigate the asymptotic properties of the proposed estimators.

Suggested Citation

  • López-Blázquez, F., 2000. "Unbiased Estimation in the Non-central Chi-Square Distribution," Journal of Multivariate Analysis, Elsevier, vol. 75(1), pages 1-12, October.
    • Handle: RePEc:eee:jmvana:v:75:y:2000:i:1:p:1-12
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    References listed on IDEAS

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    1. Shao, P. Y. S. & Strawderman, W. E., 1995. "Improving on the Positive Part of the UMVUE of a Noncentrality Parameter of a Noncentral Chi-Square Distribution," Journal of Multivariate Analysis, Elsevier, vol. 53(1), pages 52-66, April.
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    Cited by:

    1. Simon Vandekar & Ran Tao & Jeffrey Blume, 2020. "A Robust Effect Size Index," Psychometrika, Springer;The Psychometric Society, vol. 85(1), pages 232-246, March.

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    1. Simon Vandekar & Ran Tao & Jeffrey Blume, 2020. "A Robust Effect Size Index," Psychometrika, Springer;The Psychometric Society, vol. 85(1), pages 232-246, March.

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