×

Minimum variance quadratic unbiased estimation of variance components. (English) Zbl 0259.62061


MSC:

62J10 Analysis of variance and covariance (ANOVA)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Drygas, H., The estimation of residual variance in regression analysis, CORE Discussion paper No. 7011 (1970) · Zbl 0215.26504
[2] Graybill, F. A., On quadratic estimates of variance components, Ann. Math. Statist., 25, 367-372 (1954) · Zbl 0055.37604
[3] Graybill, F. A.; Hulkquist, R. A., Theorems concerning Eisenharts’ model II, Ann. Math. Statist., 32, 261-269 (1961) · Zbl 0109.37501
[4] Harville, David A., Quadratic unbiased estimation of variance components for the one-way classification, Biometrika, 56, 313-326 (1969) · Zbl 0184.22305
[5] Hsu, P. L., On the best unbiased quadratic estimate of variance, Statist. Res. Mem., 2, 91-104 (1938) · JFM 64.1206.04
[6] Rao, C. Radhakrishna, Some theorems on minimum variance estimation, Sankhya, 12, 27-56 (1952) · Zbl 0049.10106
[7] Rao, C. Radhakrishna, (Linear Statistical Inference and Its Applications (1965), Wiley: Wiley New York) · Zbl 0256.62002
[8] Rao, C. Radhakrishna, Estimation of heteroscedastic variances in linear models, J. Amer. Statist. Assoc., 65, 161-172 (1970)
[9] Rao, C. Radhakrishna, Estimation of variance and covariance components in linear models, J. Amer. Statist. Assoc. (1971), to appear · Zbl 0223.62086
[10] Rao, C. Radhakrishna, Estimation of variance and covariance components—MINQUE theory, J. Multivariate Anal., 1, 257-275 (1971) · Zbl 0223.62086
[11] La Motte, L. R., Locally best quadratic estimators of variance components, (Technical report (1971))
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.