Consider the Poisson process of radioactive particle hits in Example 5 7 8 Suppose that the rate of the Poisson process is unknown and has the gamma distribution with parameters and Let X be the number of particles that strike the target during t time units Prove that the conditional distribution o...

The conditional pdf of given X x can be obtained from Bayes theorem for random va ...

Consider the Poisson process of radioactive particle hits in Example 5.7.8. Suppose that the rate of

Question:

Consider the Poisson process of radioactive particle hits in Example 5.7.8. Suppose that the rate β of the Poisson process is unknown and has the gamma with parameters α and γ. Let X be the number of particles that strike the target during t time units. Prove that the conditional of β given X = x is a gamma and find the parameters of that gamma 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...