Alex_Of_Darkness
New member
- Joined
- Nov 16, 2017
- Messages
- 29
Biased Estimates: û : (X1 + 2X2 + 3X3)/6 & ü : (X1 + 4X2 + X3)/6
Hi everyone, hopefully you'll be able to help me with this problem that is giving me headaches.
X1, X2, X3 are three random variables from a population with a mean "u" and a variance "σ2".
There is two estimators : û : (X1 + 2X2 + 3X3)/6 & ü : (X1 + 4X2 + X3)/6
I need to find if they are biased or not, if they are I need to calculate its bias.
I know that if u = û and u = ü there will be no bias but since we don't know anything about u I have no clue how to solve that. There is also 3 other subquestions but I guess that if I understand how to solve this one, I might be able to solve the other three by myself.
Thanks a lot in advance everyone!
Hi everyone, hopefully you'll be able to help me with this problem that is giving me headaches.
X1, X2, X3 are three random variables from a population with a mean "u" and a variance "σ2".
There is two estimators : û : (X1 + 2X2 + 3X3)/6 & ü : (X1 + 4X2 + X3)/6
I need to find if they are biased or not, if they are I need to calculate its bias.
I know that if u = û and u = ü there will be no bias but since we don't know anything about u I have no clue how to solve that. There is also 3 other subquestions but I guess that if I understand how to solve this one, I might be able to solve the other three by myself.
Thanks a lot in advance everyone!