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Empirical Bayes estimation for Borel-Tanner distributions

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  • Liang, TaChen

Abstract

This work deals with empirical Bayes estimation for the reproduction parameter of Borel-Tanner distributions. Losses of two types are considered: squared and linex error losses. For each type of error loss, a nonparametric empirical Bayes estimator is proposed and its associated asymptotic optimality is investigated. It is shown that under a certain condition, the regrets of the proposed empirical Bayes estimators converge to zero at a rate O(n-[lambda]/2) for some number [lambda],0

Suggested Citation

  • Liang, TaChen, 2009. "Empirical Bayes estimation for Borel-Tanner distributions," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2212-2219, October.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:20:p:2212-2219
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    References listed on IDEAS

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    1. R. Singh & Laisheng Wei, 1992. "Empirical Bayes with rates and best rates of convergence in u(x)C(θ) exp(-x/θ)-family: Estimation case," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(3), pages 435-449, September.
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