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Question: 5 let yiy be independent random variables from a distribution...

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(5) Let Yi,...Y be independent random variables from a distribution with distribution function PlY Su)- Fu), and density function f(w). Now let Ya) be the minimum of all the observations. Show that the density function of Ya) is given by fm) (y) = n(1-F(v))-1/(y) Hint: First write out the CDF, P(Ya) S y), then using independence of the observations put it in terms of the distribution function F(v), and then take the derivative to get the density.
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