References
Breiman, L. (1968).Probability, Addison-Wesley.
Feller, W. (1971).An Introduction to Probability Theory and its Applications Volume II (2nd ed.), Wiley, New York
Ferguson, T. S. (1967).Mathematical Statistics and a Decision Theoretic Approach, Academic Press, New York.
Fox, R. (1968). Contribution to compound decision theory and empirical Bayes squarederror loss estimation, RM-214, Department of Statistics and Probability, Michigan State University.
Loéve, Michel (1963).Probability Theory (3rd ed.), Van Nostrand, Princeton.
Nogami, Y. (1975). A non-regular squared-error loss set-compound estimation problem, RM-345, Department of Statistics and Probability, Michigan State University.
Nogami, Y. (1978). The set-compound one-stage estimation in the nonregular family of distributions over the interval (0, θ),Ann. Inst. Statist. Math.,30, A, 35–43.
Nogami, Y. (1979). Thek-extended set-compound estimation problem in a nonregular family of distributions over [θ, θ+1),Ann. Inst. Statist. Math.,31, A, 169–176.
Singh, Radhey S. (1974). Estimation of derivatives of average of μ-densities and sequence-compound estimation in exponential families, RM-318, Department of Statistics and Probability, Michigan State University
Wahba, Grace (1975). Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation,Ann. Statist.,3, 15–29.
Author information
Authors and Affiliations
Additional information
The word “nonregular” was quoted from Ferguson ([3], p. 130).
About this article
Cite this article
Nogami, Y. The set-compound one-stage estimation in the nonregular family of distributions over the interval [θ, θ+1). Ann Inst Stat Math 33, 67–80 (1981). https://doi.org/10.1007/BF02480920
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02480920