Empirical Bayes estimation for Borel-Tanner distributions

Citations of this article
Mendeley users who have this article in their library.
Get full text


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- λ / 2) for some number λ, 0 < λ < 2. An example fulfilling the required condition for convergence is also provided. © 2009 Elsevier B.V. All rights reserved.




Liang, T. (2009). Empirical Bayes estimation for Borel-Tanner distributions. Statistics and Probability Letters, 79(20), 2212–2219. https://doi.org/10.1016/j.spl.2009.07.018

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free