and X...,X, U[0,1], Given X...., X, are iid Y, is defined as Yn = min(x1,x2,...,x,). a.s. Prove that in Y, probabilit →...

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and X...,X, U[0,1], Given X...., X, are iid Y, is defined as Yn = min(x1,x2,...,x,). a.s. Prove that in Y, probabilit → = 0 a

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Answer 1

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BCI, - nti +3 Given X,,x2,...,xn are vid u (0,1). Then we recall a result, mina ordes statistic, Xco) of X,X2,...,xn, follows . 0 -$# 3645dy = + joyimdy _t2-)- ܘ - 4=Dܦܝܼܛ ܕ : ܗ ܗ __ ܗ ܐܩ ܛܪܕ ܢܝܝܒ - ܛܼܲ ܡ - 23 ܙܠܛ ܟ 9 __ - -& ܝ By Broill cantelli l

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and X...,X, U[0,1], Given X...., X, are iid Y, is defined as Yn = min(x1,x2,...,x,). a.s. Prove that in Y, probabilit →...