Let Ui,i 1,2, , be independent uniform(0,1) random variables, and let X have distribution P(X x) c x x l, 2,3, , X where c l (e 1) Find the distribution of Z min U1, ,Ux (That the distribution of Z X x is that of the first order statistic from a sample of size x ) ...

Let Ui,i = 1,2,..., be independent uniform(0,1) random variables, and let X have distribution P(X = x)

Question:

Let Ui,i = 1,2,..., be independent uniform(0,1) random variables, and let X have P(X = x) = c/x x = l, 2,3,..., X
where c = l/(e - 1). Find the of
Z = min{U1,... ,Ux}.
(That the of Z|X = x is that of the first-order statistic from a sample of size x.)
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...