Characterization of Probability Laws via Length-Biasing and Stationary-Excess Operations

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Abstract

The gamma and uniform laws have been characterized by relating their moment sequences to the moments of the corresponding renewal forward recurrence time laws. Here this work is re-examined in a more general distributional setting, exposing its fundamental relation to length-biasing, and obtaining various generalizations.
Original languageEnglish
Pages (from-to)2975-2992
JournalCommunications in Statistics - Theory and Methods
Volume33
Issue number12
DOIs
Publication statusPublished - 2004

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