On the independence of integer and fractional parts

F.W. Steutel and J.G.F. Thiemann

Statistica Neerlandica, 1989, vol. 43, issue 1, 53-59

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.

Date: 1989
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