Question: 2. Suppose X1,..., Xn is a random sample from a exponential (@) population, a > 0. a) Find a complete and sufficient statistic for 0.

2. Suppose X1,..., Xn is a random sample from a

2. Suppose X1,..., Xn is a random sample from a exponential (@) population, a > 0. a) Find a complete and sufficient statistic for 0. Call it T1(X). X3 X b) Show that T2(X) = ($ Xn-) is an ancillary statistic. - c) Show that T(X) is independent of T2(x). Justify. d) Use Basu's Theorem to find E (vitra en txu). Justify

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