• Support PF! Buy your school textbooks, materials and every day products Here!

Uniform distrib-n bias

  • Thread starter EvLer
  • Start date
458
0
1. Homework Statement
show that [(n+1)X(n)/n]2 is not an unbiased estimate of theta2 in unform distribution U[0,theta]

X(n) is the order statistic

The attempt at a solution

I was going to take E{[(n+1)X(n)/n]2} split it as
E[((n+1)/2)2] * E[X(n)2] and then show that it does not equal to theta2.
Could some one please confirm if this is correct? or help me out with the direction?
 

Answers and Replies

Related Threads for: Uniform distrib-n bias

Replies
2
Views
962
Replies
0
Views
3K
Replies
2
Views
1K
Replies
5
Views
6K
Replies
1
Views
1K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
8
Views
1K
Replies
7
Views
6K
Top