Given the prior, p(x) of: 1/x (x) from 0 to inf And the sampling model , p(y|x) of: 1/x (y) from 0 to x Let Y = Y 1 , Y 2 , ., Y n , Y n+1 |x be i....

Given the prior, p(x) of: 1/x (x) from 0 to inf

And the sampling model , p(y|x) of: 1/x (y) from 0 to x

Let Y = Y1, Y2, ...., Yn, Yn+1 |x be i.i.d. with a common sampling model given by p(y|x). Let T = max{Y1, Y2,..., Yn}

For y = (y1, y2, ...., yn), derive an expression for the marginal density.