In: Statistics and Probability
Let X1,..., Xn be an i.i.d. sample from a geometric distribution with parameter p.
U = ( 1, if X1 = 1, 0, if X1 > 1)
find a sufficient statistic T for p.
find E(U|T)
** Note that here the U(x) as defined it is usually different but in generally it is as defined above . Then we can get a complete result but here it is not . for which the term (1-p) remains here .