3. Suppose X₁, X2,..., Xn are i.i.d. exponential random variables with pdf given by{te-tefx (x) =Xe- if x>0,otherwise.We are interested in estimating the parameter A using a number of methods.(a) What is the method of moment estimator Amom of X?(b) What is the maximum likelihood estimator Amle of X?(c) Suppose the following n = 6 samples was generated from a exponential distribution with parameterA as described in this question:3.8 3.24 1.4 1.22 4.5 4.6Compute Âmom and Âmle.(d) Suppose that n > 1. Is Âmle an unbiased estimator of X? Why?

Answered: Image /qna-images/answer/4e3607d4-4e87-4545-9394-dc36def16e48.jpg

Answered: (a) What is the method of moment…

A First Course in Probability (10th Edition)

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(a) What is the method of moment estimator Amom of X? (b) What is the maximum likelihood estimator Amle of X? (c) Suppose the following n = 6 samples was generated from a exponential distribution with parameter A as described in this question: 3.8 3.24 1.4 1.22 4.5 4.6