: Consider that a random variable Y has the following density function,(«y*-1fG) =} 0a0sys0elsewherewhere a is known, and satisfies a > 0, and 0 is an unknown parameter. Let Y, be an independent random variable fromthe distribution f(y), with i=1,..,na) Calculate the bias for the estimator ê = Ỹ = 2 Y/n.b) Calculate the mean square error of the estimator ô = Y = 2c) Propose an unbiased estimator of 0 and show that it is unbiased.

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Answered: " Consider that a random variable Y has…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 30E

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