# Foo - Statistics -- blue estimator?

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View Full Version : Statistics -- blue estimator?

phantomcow2
09-05-09, 09:53 PM
Some point estimator, mu hat, is given by the following:
mu hat = .2X1 + 2.5X2 - X3 - .7X4

There are 4 samples (Xi). I am asked to determine whether this mu hat is a BLUE estimator of mu.

I can prove that mu hat is unbiased by taking the expected value of the expression, and I can show that mu hat is not a linear estimator. Since it is not even a linear estimator, I would expect that this is not a BLUE estimator. But I feel like I get in trouble when I make assumptions, so I thought I'd ask if somebody could shed some light here. Thanks.

phantomcow2
09-05-09, 11:40 PM
nevermind this. I realize it is a linear estimator after all.

Ted Danson
09-05-09, 11:56 PM
Whats a mu hat?

Luddite
09-06-09, 12:15 AM
Holy gods, is this what statistics is like? I'm so fragged!

RUOkie
09-06-09, 12:05 PM