(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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] ?

2. Relevant equations

Y_{min}=n*(1-F_{Y}(y))^{n-1}f_{Y}(y)

Also, it looks like an exponential distribution.

3. 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 ?

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# Homework Help: Statistics- unbiased estimator #2

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