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Bayes Class and Wald Class

Published online by Cambridge University Press:  22 January 2016

Hirokichi Kudō
Hirokichi Kudō*
Affiliation:
Osaka City University
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In this paper we shall study relations among the class B of the Bayes solutions in the strict sense, the class W of the Bayes solutions in the wide sense and the closure c(B), in a certain sense, of the class B. For abbreviation, we shall use the word “Bayes class” for the class B and “Wald class” for the class W.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 31 , January 1968 , pp. 15 - 29
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

[1] Bourbaki, N.: Topologie générale, Actualité Sci. Ind. (1949), Paris.Google Scholar
[2] Kudō, H.: Locally complete class of tests, Bull. Inst. Intern. Statist. 38 (1961), 173–180.Google Scholar
[3] Kusama, T.: On classes of Bayes solutions, Ann. Inst. Statist. Math. 18 (1966), 1–11.Google Scholar
[4] LeCam, L.: An extension of Wald’s theory of statistical decision functions, Ann. Math. Statist. 26 (1955), 69–81.Google Scholar
[5] Sacks, J.: Generalized Bayes solutions in estimation problems, Ann. Math. Statist. 34 (1963), 751–768.CrossRefGoogle Scholar
[6] Wald, A.: Statistical decision functions, 1950, Wiley.Google Scholar