Suppose that Y_1,...,Y_n is a random sample where the density of each random variable Y_i is f(y) = 2*x^2*y^(-3), y >= x for some parameter x > 1. Let x^hat := min{Y_1,...,Y_n}.
I figured out that the pdf for the minimum order statistic is n*[f(y)]*[1-F(y)]^(n-1).
Also I think that 1-F(y) =...