Proof of a necessary and sufficient condition for admissibility in discrete multivariate problems
نویسندگان
چکیده
منابع مشابه
Proof of a Necessary and Sufficient Condition for Admissibility in Discrete Multivariate Problems*
The proof of Farrell (1968. Ann. Math. Statist. 26 518-522) is adapted to the special problems presented by discrete problems. Continuity of the risk functions is veritied, sequential subcompactness is verified, and a necessary and sufficient condition for admissibility proven. In the discrete problems considered one obtains pointwise convergence of the sequence of Bayes estimators to the admis...
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As has been known for many years (see, e.g., K. Mahler, /. Reine Angew. Math., v. 166, 1932, pp. 118-150), a real or complex number f is transcendental if and only if the following condition is satisfied. To every positive number co there exists a positive integer n and an infinite sequence of distinct polynomials {p,(z)} = {pr + pr z + • • • + p z } at most of 0 1 n degree n with integral coef...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 1988
ISSN: 0047-259X
DOI: 10.1016/0047-259x(88)90100-5