: Consider that a random variable Y has the following density function, («y*-1 fG) =} 0a 0sys0 elsewhere where a is known, and satisfies a > 0, and 0 is an unknown parameter. Let Y, be an independent...

Extracted text: : Consider that a random variable Y has the following density function, («y*-1 fG) =} 0a 0sys0 elsewhere where a is known, and satisfies a > 0, and 0 is an unknown parameter. Let Y, be an independent random variable from the distribution f(y), with i=1,..,n a) Calculate the bias for the estimator ê = Ỹ = 2 Y/n. b) Calculate the mean square error of the estimator ô = Y = 2 c) Propose an unbiased estimator of 0 and show that it is unbiased.