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QUESTION
We observe a random sample of n values from the beta distribution with parameters c and 2.
We observe a random sample of n values from the beta distribution with parameters c and 2.
(a) Find a general expression for the method of moments (MOM) estimate of c, and calculate this MOM estimate for the case where we observe two values, 0.96 and 0.84.
(b) Find the bias of the MOM estimator of c for the case where c = 1 and n = 1.
(c) Find a general expression for the maximum likelihood estimate (MLE) of c, and calculate this MLE for the case where we observe two values, 0.96 and 0.84.
