Questions tagged [weighted-variance]
3 questions
4
votes
0 answers
In Ordinary Least Square (OLS) estimation: is the slope actually an "Inverse-variance weighting" estimator?
I am suspecting the answer is yes, but I'd appreciate help in proving it (even though we know that the estimator is BLUE, so it should probably hold).
For context:
An Inverse-variance weighting is when we have a bunch of estimators for some…

Tal Galili
- 19,935
- 32
- 133
- 195
4
votes
2 answers
How to estimate the (approximate) variance of the weighted mean?
Background: weighted mean
In the context of survey statistics it so happens that a sample of respondents from a survey are fit some weights to adjust their answers to the general population. These weights are often fitted using inverse of estimated…

Tal Galili
- 19,935
- 32
- 133
- 195
1
vote
0 answers
Variance in variance-weighted variance estimate?
Apologies for the confusing title, but I couldn't resist.
Much can and has been said about computing the unbiased variance using a sample of points, weighting by the variances of each point (for example, see this question). But I want to go one step…

astrobenji
- 38
- 7