Question: 1. Let Y1, .., Y, be a random sample from a distribution with cumulative distribution function (cdf) Fy(y). a. (5 POINTS) State the definition of

1. Let Y1, .., Y, be a random sample from a

1. Let Y1, .., Y, be a random sample from a distribution with cumulative distribution function (cdf) Fy(y). a. (5 POINTS) State the definition of the cdf. You do not need to show work b. (5 POINTS) State the cdf of Ymax- You do not need to show work. 2. Let Y' and Y'z be a random sample from the /(0, ') distribution. Consider the following estimators for of = Y? and of = = (Y] + Y?) a. (10 Points) Show both statistics are unbiased. b. (15 Points) Find the relative efficiency of of to of. c. (15 POINTS) Show that of is the Minimum Variance Unbiased Estimator for o

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