The Poisson Compound Decision Problem Revisited

Details The Poisson Compound Decision Problem Revisited The Poisson Compound Decision Problem Revisited

2010-06-23

arxiv.org/abs/1006.4582v1

Mathematics

Statistics Theory

Scientific paper

The compound decision problem for a vector of independent Poisson random variables with possibly different means has half a century old solution. However, it appears that the classical solution needs smoothing adjustment even when there are many observations and relatively small means such that the empirical distribution is close to its mean. We discuss three such adjustments. We also present another approach that first transforms the problem into the normal compound decision problem.

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