Let X1, , Xn be i i d with the Poisson distribution having mean Let Y a Suppose that we wish to test the hypotheses H0 1 versus H1 1 Show that the test reject H0 if Y 0 is uniformly most powerful level 0 for some number 0 Also find 0 b Find the power function of the test from part (a) ...

a The Poisson distribution has MLR i ...

Let X1, . . . , Xn be i.i.d. with the Poisson distribution having mean . Let

Question:

Let X1, . . . , Xn be i.i.d. with the Poisson having mean θ. Let Y =
a. Suppose that we wish to test the hypotheses H0 : θ ≥ 1 versus H1 :θ < 1. Show that the test “reject H0 if Y = 0” is uniformly most powerful level α0 for some number α0. Also find α0.
b. Find the power function of the test from part (a).
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...