Let Y1 denote the first order statistic of a random sample of size n from distribution having pdf f(x) – e^-(x-theta) where 0<x<infinity. Let Zn =n(Y1 -thetha). Investigate the limiting distribution of Zn.

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# Let Y1 denote the first order statistic of a random sample of size n from distribution having pdf f(x) – e^-(x-theta) where 0lt;xlt;infinity. Let…

Let Y1 denote the first order statistic of a random sample of size n from distribution having pdf f(x) – e^-(x-theta) where 0<x<infinity. Let Zn =n(Y1 -thetha). Investigate the limiting distribution of Zn.