Bernshtein's regularity conditions in a problem of empirical bayesian approach
It is proved that the posterior distribution of the random success parameter in a binomial distribution may be approximated by a beta distribution, if the second parameter of the binomial lawn, goes to infinity and the prior density of the success parameter belongs to some subset of, τ⩾1.
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- 1.S. N. Bernshtein, “The inverse Laplace theorem and its generalizations,” Collected Works [in Russian], Vol. IV (1964), pp. 448–454.Google Scholar
© Plenum Publishing Corporation 1987