i) Show whether or not the method of moments estimate and the maximum likelihood estimate of 2 are equal.

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b) Suppose that 2,1,2,0,2,2,2,0,1,2 are ten independent observations from a
population whose discrete distribution has a probability mass function:
f(y; A) = { y!
- if a > 0 and x = 0,1,2, ..
0,
elsewhere
i) Show whether or not the method of moments estimate and the maximum
likelihood estimate of 1 are equal.
Transcribed Image Text:b) Suppose that 2,1,2,0,2,2,2,0,1,2 are ten independent observations from a population whose discrete distribution has a probability mass function: f(y; A) = { y! - if a > 0 and x = 0,1,2, .. 0, elsewhere i) Show whether or not the method of moments estimate and the maximum likelihood estimate of 1 are equal.
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