AofMLE

Admissibility of the Maximum Likelihood Estimate of the Reciprocal of a Normal Mean with a Class of Zero-One Loss Functions.” Sankhya, Volume 47, Series A, Part 2, pp. 239-246, 1985.

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ABSTRACT

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REFERENCES

Akahira, Masafumi and kei Takeuchi (1979): The concept of asymptotic efficiency and higher order efficiency in statistical estimation theory. Unpublished lecture notes.

Anderson, Theodore W. (1976): Estimation of linear functional relationships: approximate distributions and connections with simultaneous equations in econometrics, J. Ray. Statist. Soc. Series B, 38, No. 1, 1-36.

Anderson, T. W. and Taylor J. B. (1976): Some experimental results on statistical properties of least squares estimates in control problems. Econometrica, 44, 6, 1289-1302.

Askari, Hossein and John T. Cummings (1976): Agricultural Supply Response: A Survey of Econometric Evidence, Praeger Publishers, New York.

Basu, Anupam, (1974): Control level determination in regression models. Technical Report 139, Economics Series, IMS 55, Stanford University.

Berger, James O. (1980): Statistical Decision Theory: Foundations, Concepts, and Methods, Springer Verlag, N. Y.

Blyth, C. R. (1951): On minimax statistical decision procedures and admissibility. Ann. Math. Statist, 22, 22-42.

Brown, Lawrence D. (1980): A necessary condition for admissibility, Ann. Statist. 8, 3.

Chung, K. L. (1972): A course in Probability Theory, 2nd edition, Academic Press, New York.

Ferguson, T. S. (1967): Mathematical Statistics: A Decision Theoretic Approach, Academic Press, New York.

Weiss, Lionel and Wolfowitz, J. (1974): Maximum Probability Estimators, Springer-Verlag Lecture Notes in Mathematics, No. 424, Berlin.

Zaman, Asad (1978): The single period control problem in econometrics, Ph.D. thesis, Stanford University.

--------- (1981a): Estimates without moments: the case of the reciprocal of a normal mean, Journal of Economics, 15, 289-298

--------- (1981b): A complete class theorem for the control problem and further results on admissibility and inadmissibility. Ann. Statist. 9, 4, 812-821.

Zellner, Arnold, (1971): An Introduction to Bayesian Inference in Econometrics, J. Wiley, New York.