On the independence of integer and fractional parts

F.W. Steutel, J.G.F. Thiemann

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Abstract

We use the independence of the integer and fractional parts of exponentially distributed random variables to obtain expressions for the order statistics from a geometric distribution. As our main result we show that a strong form of this independence characterizes the exponential distribution.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages7
Publication statusPublished - 1987

Publication series

NameMemorandum COSOR
Volume8729
ISSN (Print)0926-4493

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    Steutel, F. W., & Thiemann, J. G. F. (1987). On the independence of integer and fractional parts. (Memorandum COSOR; Vol. 8729). Eindhoven: Technische Universiteit Eindhoven.