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Say you have an aid. random sample of size n from the following density: 0 otherwise, a 3201 i$ f($)={ ,8{1+,r3) f >0 where o

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Say you have an aid. random sample of size n from the following density: 0 otherwise, a 3201 i$ f($)={ ,8{1+,r3) f >0 where o > U and ,3 > D. For this question, assume that ,6 is a known, xed value and therefore does not need to be estimated. (a) Find lE[X] {Note that it onlyr exists when a >- 1). (b) Find the method of moments estimator for o. Is this a consistent estimator of a? Justify your

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