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Exact distribution of the sample median of a jump type distribution on a bounded domain

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Abstract

This paper considers the problem of finding the exact distribution and exact moments of the median of a sample of even size drawn from a jump type distribution with bounded domain in a computable form. The results which are obtained with the help of integral calculus are then applied to two-piece uniform distribution. The exact variances are calculated for both odd and even sample sizes, and efficiency comparisons are made.

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Acknowledgements

The author thanks the editor, the area editor and the anonymous referee for their comments and suggestions.

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Authors and Affiliations

  1. Department of Statistics, Cukurova University, 01330, Adana, Turkey

    Ali İ. Genç

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  1. Ali İ. Genç
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Correspondence to Ali İ. Genç.

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Genç, A.İ. Exact distribution of the sample median of a jump type distribution on a bounded domain. Japan J. Indust. Appl. Math. 35, 891–913 (2018). https://doi.org/10.1007/s13160-018-0311-2

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  • DOI: https://doi.org/10.1007/s13160-018-0311-2

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