Problem

Suppose that X is a discrete random variable with a. Find the metho...

Suppose that X is a discrete random variable with

a. Find the method of moments estimate of θ.

b. Find an approximate standard error for your estimate.

c. What is the maximum likelihood estimate of θ?

d. What is an approximate standard error of the maximum likelihood estimate?

e. If the prior distribution of is uniform on [0, 1], what is the posterior density? Plot it. What is the mode of the posterior?

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