Let X1,...,X, be a random sample from a population having the probability mass function n gr sung x=0,1,... fx (x;0)= x!

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Let X1 X Be A Random Sample From A Population Having The Probability Mass Function N Gr Sung X 0 1 Fx X 0 X 1 (75.6 KiB) Viewed 68 times

I want e) and f) but please explain the solution clearly
(how we find). I already have looked at other solutions at
answers and didn't understand how we use the theorem. I didn't get
the subject UMVUE. I want to understand this kind
of questions. Thank you in advance.
Let X1,...,X, be a random sample from a population having the probability mass function n gr sung x=0,1,... fx (x;0)= x! 0 0.w. a) Find the method of moment estimator for 0 (call ÔMom). b) Find the maximum likelihood estimator for 0 (call Ôule). c) Find a sufficient estimator for @ (call T). d) Based on the sufficient estimator in (a), find an unbiased estimator for @ (call W). e) Find the minimum variance unbiased estimator (UMVUE) for 6 (call Ôumvue ). f) Which estimators for you found above are consistent and more efficient?