Question: 5. Let X1, . . . ,Xn be a random sample from a distribution with pdf f(.'L') : 2625373 for :3 Z 6 and 0

5. Let X1, . . . ,Xn be a random sample from a distribution with pdf f(.'L') : 2625373 for :3 Z 6 and 0 otherwisej Where 6 a positive parameter. [3] (a) )Fin the Method of Moment estimator of 6. [3] (b) Find the Maximum Likelihood estimator of 6, denoted by 6. [5] (c) Is 6 an unbiased estimator of 6? Does 6 converge in probability to 6? Justify your reasoning
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