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Record values and the geometric distribution

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Abstract

Suppose {Xn, n≥1} is a sequence of independent and identically distributed discrete random variables having the common distribution function F(x). The exact distribution of the n-th record value is given under the assumption that F(x) has the geometric distribution. Various properties of the record values and some new characterizations of the geometric distribution are presented.

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References

  1. Govindarajulu, Z. (1980). Characterizations of the Geometric Distribution using Properties of Order Statistics.J. Stat. Plan. and Inf., 4, 237–247.

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Authors and Affiliations

  1. Department of Decision Sciences and Computers, Rider College, 08648, Lawrenceville, NJ

    M. Ahsanullah & B. Holland

  2. Department of Statistics, Temple University, 19122, Philadelphia, PA

    M. Ahsanullah & B. Holland

Authors
  1. M. Ahsanullah
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  2. B. Holland
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Ahsanullah, M., Holland, B. Record values and the geometric distribution. Statistische Hefte 25, 319–327 (1983). https://doi.org/10.1007/BF02932412

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  • DOI: https://doi.org/10.1007/BF02932412

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