1. (8 points) Suppose that Y1,..., Yn is a random sample from a population whosedensity isf (y\0) = 30°y¬4,y > 0,for some parameter 0 > 0. As we showed in class, the maximum likelihood estimator of 0 isÔMLEmin{Y1,..., Yn} and whose density function is.—Зп—1fôMLE (7) = 3n0³nxprovided x > 0. As shown on Midterm #1,Зп — 1Зп — 1OMLEE ) min{Y1, · · . ,3n3nis an unbiased estimator of 0. Determine the density function of 0. Note that this describesthe sampling distribution of Ô.

Answered: Image /qna-images/answer/fbabb95d-a9ff-4dca-819c-5eb49c11a4eb.jpg

Answered: 3n Ô = - 1 Зп — 1 ÔMLE = ( - min{Y1,…

MATLAB: An Introduction with Applications

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3n Ô = - 1 Зп — 1 ÔMLE = ( - min{Y1, ..., Y,} %3D 3n 3n is an unbiased estimator of 0. Determine the density function of 0. Note that this describes the sampling distribution of 6.