Question

Let X1,...,Xn be iid Unif(0,θ), where θ > 0 is unknown.
(a) Let θˆn = X(n), the sample maximum. Find the CDF of θˆn. (θˆn is a theta hat)

Answer 1

What is Unif?

Answer 2

Uniformal distribution

Answer 3

And iid?

Answer 4

independent and indentically distributed

Answer 5

So where are you stuck?

Answer 6

I have trouble starting

Answer 7

Do you know what the uniform distribution looks like?

Answer 8

It's a flat line between a finite interval, right?

Answer 9

yes i know what it looks like

Answer 10

Wouldn't you just integrate the distribution?

Answer 11

how?

Answer 12

i get the idea of cdf, pdf etc but when it comes to this notation of problem, i am completely lost

Answer 13

but we are looking for variance aren't we?