Record Range of Uniform Distribution

We consider a sequence of independent and identicalydistributed (iid) random variables with absolutely continuous distributionfunction f(x) and probability density function (pdf) f(x). letrnl be the largest observation after observing nth record and r(ns) bethe smallest observation after observing the nth record. then we saywnr = rnl - r(ns), n(greater than) i, as the nth record range. we will considersome distributional properties of wnr when f(x) = 1 ,0 (less than or equal) x (less than or equal) 1.