Journal of Soviet Mathematics

, Volume 36, Issue 5, pp 596–600 | Cite as

Bernshtein's regularity conditions in a problem of empirical bayesian approach

  • M. S. Nikulin


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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Literature cited

  1. 1.
    S. N. Bernshtein, “The inverse Laplace theorem and its generalizations,” Collected Works [in Russian], Vol. IV (1964), pp. 448–454.Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • M. S. Nikulin

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