Random contraction and random dilation of generalized order statistics

E.A. Beutner, U. Kamps*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


Distributional equations of the form are studied, where x and y are neighboring generalized order statistics based on distribution function f, and v is a power function or pareto distributed random variable, independent of y. Characterizations of distributions via random contraction and random dilation are stated involving three conditions, namely, the distributional equation, the form of f and the distribution of v, where each two assertions imply the third. Recent results for the particular submodels of order statistics and record values are contained and also extended.
Original languageEnglish
Pages (from-to)2185-2201
Number of pages16
JournalCommunications in Statistics - Theory and Methods
Issue number14
Publication statusPublished - 1 Jan 2008


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