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- W4246015229 abstract "Abstract Let X 1, …, Xn, n ≥ 2 be n i.i.d. r.v.'s, each having a geometric distribution, and let Y 1 ≤ … ≤ Yn be the corresponding order statistics. Write Z = Σn i-2 (Y i − Y 1). Then it is well known that Y 1 and Z are independent. In this article, we show that a very weak form of this property is a characterizing property of the geometric distribution. Other characterizations of the geometric distribution are also obtained by similar properties." @default.
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- W4246015229 date "1974-03-01" @default.
- W4246015229 modified "2023-10-03" @default.
- W4246015229 title "Two Characterizations of the Geometric Distribution" @default.
- W4246015229 doi "https://doi.org/10.2307/2285541" @default.
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