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A note on minimum distance estimates

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Abstract

It is shown that minimum distance estimates enjoy the invariance property of maximum likelihood estimates.

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References

  1. Blyth, C. R. (1970). On the inference and decision models of statistics,Ann. Math. Statist.,41, 1034–1058.

    Article  MathSciNet  Google Scholar 

  2. Matusita K. (1953). On the estimation by the minimum distance method,Ann. Inst. Statist. Math.,5, 57–65.

    Article  MathSciNet  Google Scholar 

  3. Matusita, K. (1964). Distance and decision rules,Ann. Inst. Statist. Math.,16, 305–315

    Article  MathSciNet  Google Scholar 

  4. Wolfowitz, J. (1952). Consistent estimators of the parameters of a linear structural relation,Skand. Aktuarietidskr.,35, 132–151.

    MathSciNet  MATH  Google Scholar 

  5. Wolfowitz, J. (1953). Estimation by the minimum distance method,Ann. Inst. Statist. Math.,5, 9–23.

    Article  MathSciNet  Google Scholar 

  6. Wolfowitz, J. (1957). The minimum distance method,Ann. Math. Statist.,28, 75–87.

    Article  MathSciNet  Google Scholar 

  7. Zehna, P. W. (1966). Invariance of maximum likelihood estimators,Ann. Math. Statist.,37, 744.

    Article  MathSciNet  Google Scholar 

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Supported under Grant No. 18-2773 of the American University of Beirut.

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Drossos, C.A., Philippou, A.N. A note on minimum distance estimates. Ann Inst Stat Math 32, 121–123 (1980). https://doi.org/10.1007/BF02480318

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  • DOI: https://doi.org/10.1007/BF02480318

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