Let Y_1 denote the first order statistic of a random sample of size n from a distribution that has pdf f(x) = e^[-x - θ ), θ < x < infinity, zero elsewhere. Let Z_n = n(Y_1 - θ ). Investigate the limit distribution of Z_n

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- December 4th 2007, 01:18 PMillusionlimiting distribution
Let Y_1 denote the first order statistic of a random sample of size n from a distribution that has pdf f(x) = e^[-x - θ ), θ < x < infinity, zero elsewhere. Let Z_n = n(Y_1 - θ ). Investigate the limit distribution of Z_n