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A remark on the converse of Laplace's theorem

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1. S. N. Bernshtein, “The converse of Laplace's theorem and its generalizations,” in:Collected Works [in Russian], Vol. 4 (1964), pp. 448–454.

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2. L. N. Bol'shev and N. V. Smirnov,Tables of Mathematical Statistics [in Russian], VTs. Akad. Nauk SSSR, Moscow (1968).

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3. M. S. Nikulin, “On S. N. Bernshtein's regularity conditions in a problem of the empirical Bayesian approach,” in:Studies in Statistical Estimation Theory [in Russian], Pt. II, Nauka, Leningrad (1978), pp. 38–43.

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4. M. De Groot,Optimal Statistical Decisions, McGraw-Hill, New York (1970).

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Translated from:Problemy Ustoichivosti Stokhasticheskikh Modelei, Trudy Seminara, 1989, pp. 108–112.

Nikulin, M.S. A remark on the converse of Laplace's theorem. J Math Sci 59, 976–979 (1992). https://doi.org/10.1007/BF01099128

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• Issue Date: April 1992

• DOI: https://doi.org/10.1007/BF01099128

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