Let X be a continuous random variable with probability density function f(x) and cumulative probability distribution function F(x). I Let I be a continuous random variable with probability density function f ( ac ) and cumulative*probability distribution function F ( * ) . Assume that f ( ac ) = F" ( * ) for every ac . Let *1, $2 . …. Inbe a random sample from the distribution of I andIn = max *1 . …. Ing.Find the limiting distribution ofWn = ~ [ 1 – F ( V/ n )!as n tends to infinity .
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