Suppose that a random sample of size n is taken from an exponential distribution for which the value of the parameter is unknown, the prior distribution of is a specified gamma distribution, and the value of must be estimated by using the squared error loss function Show that the Bayes estimators, ...

Let X 1 X n denote the observations in the random sample and let a ...

Suppose that a random sample of size n is taken from an exponential distribution for which the

Question:

Suppose that a random sample of size n is taken from an exponential for which the value of the parameter θ is unknown, the prior of θ is a specified gamma and the value of θ must be estimated by using the squared error loss function. Show that the Bayes estimators, for n = 1, 2, . . . , form a consistent sequence of estimators of θ.
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...