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Let Y1, , Yn be a random sample from a distribution with pdf x2 x __ fX(x;02) = 026 202; x > 0, a >

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Let Y1, , Yn be a random sample from a distribution with pdf x2 x __ fX(x;02) = 026 202; x > 0, a > 0. a. Show that W = X 2 has an exponential distribution with B = 202. b. Use the result from a. to derive the distribution of V = 231:1 X3. 0. Find the MLE for 02. d. Use the result from b. to show that your MLE is a consistent estimator of or". You must use b

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