Empirical Bayes estimators for the reproduction parameter of Borel-Tanner distribution

Details Empirical Bayes estimators for the reproduction parameter of Borel-Tanner distribution Empirical Bayes estimators for the reproduction parameter of Borel-Tanner distribution

2006-02-12

arxiv.org/abs/math/0602254v1

Mathematics

Statistics Theory

To appear in Journal of Applied Statistical Science

Scientific paper

We construct empirical Bayes estimators for the reproduction parameter of
Borel-Tanner distribution assuming LINEX loss and prove their asymptotic
optimality. Some properties of the estimators regret risk are illustrated
through simulations.

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