M. Ahsanullah ^{*}

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.

Subject:
60: Probability theory and stochastic processes

Received: 2011/10/22 | Accepted: 2015/09/12

Received: 2011/10/22 | Accepted: 2015/09/12