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Asymptotic distribution of the conditional regret risk for selecting good exponential populations

Shanti S. Gupta, Friedrich Liese (2000)

Kybernetika

In this paper empirical Bayes methods are applied to construct selection rules for the selection of all good exponential distributions. We modify the selection rule introduced and studied by Gupta and Liang [10] who proved that the regret risk converges to zero with rate O ( n - λ / 2 ) , 0 < λ 2 . The aim of this paper is to study the asymptotic behavior of the conditional regret risk n . It is shown that n n tends in distribution to a linear combination of independent χ 2 -distributed random variables. As an application we...

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