Let X1, , Xm be a random sample from a Poisson distribution with parameter micro 1, and let Y1, , Yn be a random sample from another Poisson distribution with parameter micro 2 We wish to test H0 micro 1 micro 2 0 against one of the three standard alternatives When m and n are large, the large samp...

First under H 0 where can be estimated for the variance ...

Let X1,..., Xm be a random sample from a Poisson distribution with parameter µ1, and let Y1,...,

Question:

Let X1,..., Xm be a random sample from a Poisson with parameter µ1, and let Y1,..., Yn be a random sample from another Poisson with parameter µ2. We wish to test H0: µ1 - µ2 = 0 against one of the three standard alternatives. When m and n are large, the large-sample z test of Section 9.1 can be used. However, the fact that V() = µ/n suggests that a different denominator should be used in standardizing - . Develop a large sample test procedure appropriate to this problem, and then apply it to the following data to test whether the plant densities for a particular species are equal in two different regions (where each observation is the number of plants found in a randomly located square sampling quadrate having area 1 m2, so for region 1 there were 40 quadrates in which one plant was observed, etc.):

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...