The Variability (precision) of Unbiased Estimators

The smaller the variance, the less variability of the estimator, the more "precise" the estimator. In the case of unbiased estimators, the variance is called the efficiency of the unbiased estimator.

3:53 - CORRECTION. The Var(Y) is indeed 7/18 sigma^2, however there is a typo in the supporting work. There is an extra multiple of 3 in front of the sigma^2 that should not be there.

Var(Y) = (1/36)Var(X1) + (1/9)Var(X2) + (1/4)Var(X3)
= (1/36) sigma^2 + (1/9) sigma^2 + (1/4) sigma^2
= (1/36 + 1/9 + 1/4) * sigma^2 ::::: Here is the correction
= 7/18 sigma^2

Sorry for the mistake and thanks for the people who caught the error!

[nagarjunacm]

Thanks for simple and good Explanation.. waiting for more video like this..

[diananyanduko]

Thank you so much for the explanation..I now understand well

[certifiedsmartass]

2:50. Why do we have to square 1/3 when we pull it out of variance?

[bethajediwe]

Thank You very much. I understand it better now. I might be wrong, but isn't the var(y) suppose to be (7/6) σ squared?

[gregoryvauclaire]

Memerlukan lebih ramai orang jadi sebarkan video ini lebih banyak