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On the limiting distribution of a sequence of estimators with uniformity property

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References

  1. Anderson, T. W. (1955). The integer of a symmetric unimodal function,Proc. Amer. Math. Soc.,6, 170–176.

    Article  MATH  MathSciNet  Google Scholar 

  2. Feller, W. (1966).Probability Theory II, John Willey New York.

    MATH  Google Scholar 

  3. Kaufman, S. (1966). Asymptotic efficiency of the maximum likelihood estimator,Ann. Inst. Statist. Math.,18, 155–178.

    Article  MATH  MathSciNet  Google Scholar 

  4. Rao, C. R. (1965).Linear Statistical Inference and Its Applications, John Wiley, New York.

    MATH  Google Scholar 

  5. Rao, C. R. (1963). Criteria of estimation in large samples,Sankhya,25, 189–206.

    MATH  Google Scholar 

  6. Wolfowitz, J. (1965). Asymptotic efficiency of the maximum likelihood estimator,Theory of Probability and Its Applications,10, 247–260.

    Article  MATH  MathSciNet  Google Scholar 

  7. Weiss, L. and Wolfowitz, J. (1966). Generalized maximum likelihood estimationsTheory of Probability and Its Applications,11, 58–81.

    Article  MATH  MathSciNet  Google Scholar 

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This concept is introduced by Wolfowitz [6] and is called “PropertyU” in [7].

The Institute of Statistical Mathematics

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Inagaki, N. On the limiting distribution of a sequence of estimators with uniformity property. Ann Inst Stat Math 22, 1–13 (1970). https://doi.org/10.1007/BF02506318

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  • DOI: https://doi.org/10.1007/BF02506318

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