Switching Order Statistics through Random Power Contractions

Jacek WesoŁowski and Mohammad Ahsanullah

Australian & New Zealand Journal of Statistics, 2004, vol. 46, issue 2, 297-303

Abstract: This paper investigates a new random contraction scheme which complements the length‐biasing and convolution contraction schemes considered in the literature. A random power contraction is used with order statistics, leading to new and elegant characterizations of the power distribution. In view of Rossberg's counter‐example of a non‐exponential law with exponentially distributed spacings of order statistics, possibly the most appealing consequence of the result is a characterization of the exponential distribution via an independent exponential shift of order statistics.

Date: 2004
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https://doi.org/10.1111/j.1467-842X.2004.00330.x

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Persistent link: https://EconPapers.repec.org/RePEc:bla:anzsta:v:46:y:2004:i:2:p:297-303

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