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## Homework Statement

There is some question, I solved it but am not sure I got the right answer.

Let Y1, Y2... Yn be a random sample of size n from the pdf f

_{Y}(y;[tex]\Theta[/tex]= [tex]\frac{1}{\Theta}[/tex]*e

^{-y/[tex]\Theta[/tex]}, y>0

Let [tex]\Theta[/tex]_hat=n*Y

_{min}is tex]\Theta[/tex]_hat for [tex]\Theta[/tex] ?

## Homework Equations

Y

_{min}=n*(1-F

_{Y}(y))

^{n-1}f

_{Y}(y)

Also, it looks like an exponential distribution.

## The Attempt at a Solution

What I need to find is E[n*Y

_{min}]

I get [(-n)/(n+1)]/(1/ [tex]\Theta[/tex] )

Is this the correct answer ?