The discrete random variable Y has probability distribution k=0,1,2,.. P(Y = k) = FO) which is called power series distribution, with a >0 for all k independent of 6. (a) Is this an exponential family...

The discrete random variable Y has probability distribution
k=0,1,2,.. P(Y = k) = FO)
which is called power series distribution, with a >0 for all k independent of 6.
(a) Is this an exponential family distribution?
(6) State whether or not Binomial,Geometric and Poisson distribution are of this type.
Show that is infinitely differentiable.
(d) Obtain EY and Var(Y).
(c) For a random sample (Y.... Y) from Y with Y = show that the MEN
Satisfies the equation


Assignment8.pdf Assignment9.pdf