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The set-compound one-stage estimation in the nonregular family of distributions over the interval (0, θ)

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References

  1. Ferguson, T. S. (1967).Mathematical Statistics a Decision Theoretic Approach, Academic Press.

  2. Fox, R. (1968). Contribution to compound decision theory and empirical Bayes squared error loss estimation, RM-214, Department of Statistics and Probability, Michigan State University.

  3. Gilliland, D. C. (1968). Sequential compound estimation,Ann. Math. Statist.,39, 1890–1905.

    Article  MathSciNet  Google Scholar 

  4. Hannan, J. F. (1957). Approximation to Bayes risk in repeated play,Contributions to the Theory of Games,3, Princeton University Press, 97–139.

    MathSciNet  MATH  Google Scholar 

  5. Hoeffding, W. (1963). Probability inequalities for sums of bounded random variables,J. Amer. Statist. Ass.,58, 13–30.

    Article  MathSciNet  Google Scholar 

  6. Nogami, Y. (1975). A non-regular squared-error loss set-compound estimation problem, RM-345, Department of Statistics and Probability, Michigan State University.

  7. Oaten, A. (1969). Approximation to Bayes risk in compound decision problems, RM-233, Department of Statistics and Probability, Michigan State University.

  8. Oaten, A. (1972). Approximation to Bayes risk in compound decision problems,Ann. Math. Statist.,43, 1164–1184.

    Article  MathSciNet  Google Scholar 

  9. Robbins, H. (1951). Asymptotically sub-minimax solutions of compound decision problems,Proc. Second Berkeley Symp. Math. Statist. Prob., Univ. of California Press, 131–148.

  10. Singh, R. S. (1974). Estimation of derivatives of averages of μ-densities and sequence-compound estimation in exponential families, RM-318, Department of Statistics and Probability, Michigan State University.

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Authors and Affiliations

  1. Daito Bunka University, Tokyo

    Yoshiko Nogami

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  1. Yoshiko Nogami
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Nogami, Y. The set-compound one-stage estimation in the nonregular family of distributions over the interval (0, θ). Ann Inst Stat Math 30, 35–43 (1978). https://doi.org/10.1007/BF02480197

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  • DOI: https://doi.org/10.1007/BF02480197

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