Suppose that x1, , xn form a random sample from a Poisson distribution for which the mean is unknown, ( 0) a Determine the M L E of , assuming that at least one of the observed values is different from 0 b Show that the M L E of does not exist if every observed value is 0 ...

Let y denote the sum of the observed values x 1 x n Then the likelihood function ...

Suppose that x1, . . . , xn form a random sample from a Poisson distribution for

Question:

Suppose that x1, . . . , xn form a random sample from a Poisson for which the mean θ is unknown, (θ > 0).
a. Determine the M.L.E. of θ, assuming that at least one of the observed values is different from 0.
b. Show that the M.L.E. of θ does not exist if every observed value is 0.
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...