Hi,

I'm trying to find the MM of a Beta(a,b) using the first and second raw moments.

I use

$\displaystyle

E[X] = \frac {a} {a+b}

$

and

$\displaystyle

E[X^2] = \frac {a * (a+1)} {(a+b) * (a+b+1)}

$

I then set those equal to $\displaystyle \bar X_n $ and $\displaystyle \overline {X^2_n} $, respectively, and (try to) solve for a and b.

Does that sound right? (I'm getting stuck.)

Thanks!