9.39 Let Y1, Y2, … Yn denote a random sample from Poisson distribution with parameter Lamda. Show by conditioning that the sumYi is sufficient for lamda.
9.43 Let Y1, Y2, … Yn denote independent and identically distributed random variables from a power family distribution with parameters alpha and theta. Then if alpha, theta > 0,
f(y|alpha, theta)= (alpha*y^(alpha – 1))/theta^alpha, y is on the interval 0 to theta.
If theta is unknown show that the product Yi is sufficient for alpha.