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

Printable View

- March 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 - March 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