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On the asymptotic distribution of max and mex

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Abstract

A form of the asymptotic joint distribution of the maximum and of the minimal excludent of a sample of sizen from a discrete distribution with exponential tails is derived. A strong law is given followed by an application to an inconsistent Bayes procedure.

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Authors and Affiliations

  1. Mathematics Department, UCLA, 405 Hilgard Avenue, 90024, Los Angeles, CA

    T. S. Ferguson

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  1. T. S. Ferguson
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Ferguson, T.S. On the asymptotic distribution of max and mex. Statistical Papers 34, 97–111 (1993). https://doi.org/10.1007/BF02925532

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  • DOI: https://doi.org/10.1007/BF02925532

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