Question: Hi please help me with this Stats question 5. Let Y1, Y2. ..., Y, denote independent and identically distributed random variables from a power family

Hi please help me with this Stats question

Hi please help me with this Stats question 5. Let Y1, Y2...., Y, denote independent and identically distributed random variables from a power

5. Let Y1, Y2. ..., Y, denote independent and identically distributed random variables from a power family distribution with parameters a and 0 = 3. Then, as in Exercise 9.43, if a > 0, f(yla) = Jay-1/3", Osys3, lo, elsewhere. Show that E(Y1) = 30/(a + 1) and derive the method-of-moments estimator for a. Also determine if the estimator is unbiased for a. (6)9. Ex 9.85 Let Y1, Y2, ..., Y, denote a random sample from the density function given by f(y |a, 0) = (@)ga ) y-e-x/, y > 0, elsewhere, where a > 0 is known. a Find the MLE 0 of 0. b Find the expected value and variance of 0.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!