Suppose that a random sample is to be taken from a normal distribution for which the value of the mean is unknown and the standard deviation is 2, the prior distribution of is a normal distribution for which the standard deviation is 1, and the value of must be estimated by using the squared error ...

For any given values in the random sample the Bayes estimate ...

Suppose that a random sample is to be taken from a normal distribution for which the value

Question:

Suppose that a random sample is to be taken from a normal for which the value of the mean θ is unknown and the standard deviation is 2, the prior of θ is a normal for which the standard deviation is 1, and the value of θ must be estimated by using the squared error loss function. What is the smallest random sample that must be taken in order for the mean squared error of the Bayes estimator of θ to be 0.01 or less?
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...