On Non-Negative Quadratic Unbiased Estimation of Variance Components

1 September 1973

journal article
research article
Published by JSTOR in Journal of the American Statistical Association

Vol. 68 (343) , 728
https://doi.org/10.2307/2284808

Abstract

Linear combinations of variance components for which there exist unbiased, non-negative quadratic estimators are characterized. It is shown that the ‘error’ component in ANOVA models is the only single component which can be so estimated.

Keywords

VARIANCE COMPONENTS
ESTIMATION OF VARIANCE
QUADRATIC UNBIASED ESTIMATION
NEGATIVE QUADRATIC UNBIASED