Question

find the moments of the distribution that has mgf M(t)= (1-t)^(-3), t<1

Answer 1

Wait, we have a MOMENT generating function and we need MOMENTS?

Maybe some derivatives and evaluations?

Answer 2

its says to use Maclauren expansin

Answer 3

So i got 1+3t+6t^2+10t^3

Answer 4

etc

Answer 5

but then idk what to do

Answer 6

@stats90

...+15t^4 + 21t^5 + ...

You didn't HAVE to use the series expansion.

You need derivatives, however you find them.

It is pretty obvious from McLauren. Just find each derivative and substitute t = 0. You'll have as many moments as you like in no time.