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Second order asymptotic optimality of estimators for a density with finite cusps

  • Estimation
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Abstract

We consider i.i.d. samples from a continuous density with finite cusps. Then we obtain the bound for the second order asymptotic distribution of all asymptotically median unbiased estimators. Further we get the second order asymptotic distribution of a bias-adjusted maximum likelihood estimator, and we see that it is not generally second order asymptotically efficient.

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Author notes

  1. Masaflimi Akahira

    Present address: Institute of Mathematics, University of Tsukuba, 305, Ibaraki, Japan

Authors and Affiliations

  1. Department of Mathematics, University of Electro-Communications, 182, Chofu, Tokyo, Japan

    Masaflimi Akahira

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  1. Masaflimi Akahira
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Akahira, M. Second order asymptotic optimality of estimators for a density with finite cusps. Ann Inst Stat Math 40, 311–328 (1988). https://doi.org/10.1007/BF00052347

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  • DOI: https://doi.org/10.1007/BF00052347

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