Record Range of Uniform Distribution

author

M. Ahsanullah

Abstract:

We consider a sequence of independent and identicaly distributed (iid) random variables with absolutely continuous distribution function F(x) and probability density function (pdf) f(x). Let Rnl be the largest observation after observing nth record and R(ns) be the smallest observation after observing the nth record. Then we say Wnr = Rnl− R(ns), n > 1, as the nth record range. We will consider some distributional properties of Wnr when f(x) = 1.

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Journal title

Journal of the Iranian Statistical Society

volume 4 issue None

pages 21- 34

publication date 2005-03

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