Let X1,....,Xn be a random sample from a Poisson( ) distribution.

Find the limiting distribution of .

I found the mean to be E( ) =

but then i don't know which method to use.

Thank you

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- Mar 1st 2010, 10:50 AMankuolilimiting distribution
Let X1,....,Xn be a random sample from a Poisson( ) distribution.

Find the limiting distribution of .

I found the mean to be E( ) =

but then i don't know which method to use.

Thank you - Mar 1st 2010, 03:26 PMmatheagle
The square is a continuous function.

Since

we have

and I don't understand what this.... means

I guess zero as n goes to infinity