Let X1,...,Xn be n i.i.d. random variables having p.d.f. Obtain the method of moments estimators of θ1 and θ2 and examine whether they are efficient and sufficient statistics. Let X1,...,Xn be...

Let X₁,...,X_n
be n i.i.d. random variables having p.d.f.


Obtain the method of moments estimators of θ₁
and θ₂
and examine whether they are efficient and sufficient statistics.

Let X₁,...,X_n
be i.i.d. random variables with mean µ and variance

Show that the LSE of

What is the WLSE of µ when

known?