Question

Let X be Unif(0,theta) consider estimators of the form theta_hat = aX where a>0 is an arbitrary constant, For what a is theta_hat unbiased?

Answer 1

do you know what \(\mathbb{E}(X)\) is?

Answer 2

Zarkon no

Answer 3

\[\int\limits_{0}^{\theta}x\frac{1}{\theta}dx\]

Answer 4

Zarkon would you have time explaining me couple of stuff in statistics?

Answer 5

where did the 1/theta come from?

Answer 6

that is the pdf of a uniform(0,theta)