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