A characterization of continuous distributions via regression on pairs of record values

I. Bairamov; M. Ahsanullah; Anthony Pakes

doi:10.1111/j.1467-842X.2005.00415.x

A characterization of continuous distributions via regression on pairs of record values

I. Bairamov, M. Ahsanullah, Anthony Pakes

UWA Business School

Research output: Contribution to journal › Article

14 Citations (Scopus)

Abstract

The exponential type is characterized in terms of the regression of a ( possibly non-linear) function of a record value with its adjacent record values as covariates. Monotone transformations extend this result to more general settings, and these are illustrated with some specific examples.

Original language	English
Pages (from-to)	543-547
Journal	Australian & New Zealand Journal of Statistics
Volume	47
Issue number	4
DOIs	https://doi.org/10.1111/j.1467-842X.2005.00415.x
Publication status	Published - 2005

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abstract = "The exponential type is characterized in terms of the regression of a ( possibly non-linear) function of a record value with its adjacent record values as covariates. Monotone transformations extend this result to more general settings, and these are illustrated with some specific examples.",

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AU - Pakes, Anthony

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DO - 10.1111/j.1467-842X.2005.00415.x

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JO - Australian & New Zealand Journal of Statistics

JF - Australian & New Zealand Journal of Statistics

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