Approximate standard error of maximum likelihood estimate

Reference no: EM13117441

Suppose that X is a discrete random variable with

P(X = 0) = 2/3µ
P(X= 1) = 1/3µ
P(X= 2) = 2/3(1 - µ)
P(X= 3) = 1/3(1 - µ)

where 0 <= μ <= 1 is a parameter. Thefollowing 10 independent observations were taken from such adistribution: (3,0,2,1,3,2,1,0,2,1).

(a) Find the method of moments estimate of μ
(b) Find an approximate standart error for your estimate.
(c) What is the maximum likelihood estimate of μ?
(d) What is an approximate standard error of the maximum likelihood estimate?

Reference no: EM13117441

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