Let X have the gamma distribution with parameters 2 and 0 a Prove that the mean of 1 X is ( 1) b Prove that the variance of 1 X is 2 ( 1)2 ( 2) ...

a The mean of 1X is b The mean o ...

Let X have the gamma distribution with parameters > 2 and > 0. a. Prove

Question:

Let X have the gamma with parameters α > 2 and β > 0.
a. Prove that the mean of 1/X is β/(α − 1).
b. Prove that the variance of 1/X is β2/[(α − 1)2 (α − 2)].
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...