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Bounds for the efficiency of approximately median unbiased estimates

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Summary

It is shown that for approximately median unbiased estimates of sample sizen, the asymptotic concentration exceeds “Fisher's bound” at most by an amount of the ordern −1/2.

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References

  • Feller, W.: An introduction to probability theory and its applications. Vol. I, Wiley, New York, 1957.

    Google Scholar 

  • Kelly, J. L.: General topology. Van Nostrand, New York, 1969.

    Google Scholar 

  • LeCam, L.: One some asymptotic properties of maximum likelihood estimates and relatedBayes' estimates. Univ. California Publ. Statist.1, 227–330, 1953.

    Google Scholar 

  • Pfanzagl, J.: On the asymptotic efficiency of median unbiased estimates. Ann. Math. Statist.41, 1500–1509, 1970.

    Google Scholar 

  • —: TheBerry-Esseen bound for minimum contrast estimates. Metrika17, 82–91, 1971a.

    Google Scholar 

  • —: On median unbiased estimates. Metrika18, 154–173, 1971b.

    Google Scholar 

  • —: Further results on asymptotic normality I. Metrika18, 174–198, 1971c.

    Google Scholar 

  • Wolfowitz, J.: Asymptotic efficiency of the maximum likelihood estimator. Theor. Probability Appl.10, 247–260, 1965.

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Authors and Affiliations

  1. Mathematisches Institut der Universität zu Köln, Weyertal 90, 5, Köln-Lindenthal

    R. Michel

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  1. R. Michel
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Research supported by a grant of the Deutsche Forschungsgemeinschaft.

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Michel, R. Bounds for the efficiency of approximately median unbiased estimates. Metrika 21, 205–211 (1974). https://doi.org/10.1007/BF01893902

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  • DOI: https://doi.org/10.1007/BF01893902

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