Suppose X ~ Poisson(2λ) & Y ~ Poisson(3λ) are independent. Show that T = (.32)X +...

Question

Question

Suppose X ~ Poisson(2λ) & Y ~ Poisson(3λ) are independent.

Show that T = (.32)X + (.12)Y is an unbiased estimator of λ & determine Var(T).

Hint: begin by computing E(T).

math Statistics-And-Probability

Answer 1

Answer #1

we hou Ahckf 0.322A) +12(3 晰)

Answer 2

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