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Record values and the geometric distribution
Authors:M Ahsanullah  B Holland
Institution:1. Department of Decision Sciences and Computers, Rider College, 08648, Lawrenceville, NJ
2. Department of Statistics, Temple University, 19122, Philadelphia, PA
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.
Keywords:
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