Let Y_1, Y_2,...,Y_n be a random sample of size n from the pdf f_Y(y;theta)=(1/theta)*e^(-y/theta), y>0:
a) Let theta hat=n*Y_min. Is theta hat unbiased for theta?
For this question, I'm not sure how to generate the pdf for Y_min. Once I get that, I assume I multiply by n, multiply by the other pdf, and solve the integral.
b) Is theta hat=(1/n)summation(from i=1 to n)Y_i unbiased for theta?