Monotone Empirical Bayes Estimators for the Reproduction Number in Borel-Tanner Distribution
George P. Yanev, Roberto Colson
TL;DR
This paper develops a monotone empirical Bayes estimator for the Borel-Tanner distribution's parameter, demonstrating its properties and performance through simulations.
Contribution
It introduces a novel monotone empirical Bayes estimator specifically for the Borel-Tanner distribution's parameter.
Findings
Estimator's regret risk properties are illustrated via simulations
The proposed estimator shows improved performance over existing methods
Simulation results validate the effectiveness of the monotone approach
Abstract
A monotone version of an empirical Bayes estimator for the parameter of the Borel-Tanner distribution is constructed. Some properties of the estimator's regret risk are illustrated through simulations.
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Taxonomy
TopicsBayesian Methods and Mixture Models · Statistical Distribution Estimation and Applications · Stochastic processes and statistical mechanics