On the independence of integer and fractional parts

F.W. Steutel; B.G. Hansen

doi:10.1111/j.1467-9574.1989.tb01246.x

On the independence of integer and fractional parts

F.W. Steutel
, B.G. Hansen

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

9 Citations (Scopus)

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 language	English
Pages (from-to)	53-59
Number of pages	8
Journal	Statistica Neerlandica
Volume	43
Issue number	1
DOIs	https://doi.org/10.1111/j.1467-9574.1989.tb01246.x
Publication status	Published - 1989

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title = "On the independence of integer and fractional parts",

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.",

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DO - 10.1111/j.1467-9574.1989.tb01246.x

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JO - Statistica Neerlandica

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On the independence of integer and fractional parts

Abstract

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