References
- Amemiya , Y. 1985 . What should be done when an Estimated Between Group Covariance Matrix is Not Nonnegative Definite? . Amer. Statist. , 39 : 112 – 117 .
- Anderson , B. M. , Anderson , T. W. and Olkin , I. 1986 . Maximum Likelihood Estimators and Likelihood Ratio Criteria in Multivariate Components of variance. . Ann. Statist. , 14 : 405 – 417 .
- Arnold , S. F. 1981 . The theory of Linear Models and Multivariate Analysis , New York : John Wiley .
- Bhargava , A. K. and Disch , D. 1982 . Exact Probabilities of obtaining Estimated Non-Positive Definite Between Group Covariance Matrices. . Jour. Statist. Simul. Comp. , 15 : 27 – 32 .
- Calvin , J. A. and Dykstra , R. L. 1991a . Maximum Likelihood Estimation of a set of Covariance Matrices under Order Restrictions with Applications to Balanced Multivariate Variance Components Models . Ann. Statist. , 19 : 850 – 869 .
- Calvin , J. A. and Dykstra , R. L. 1991b . Least Squares Estimation of Covariance Matrices in Balanced Multivariate Variance Components Models . Jour. Amer. Statist. Assoc. , 86 ( 414 ) : 388 – 395 .
- Hill , W. G. and Thompson , R. 1978 . Probabilities of Nonpositive Definite Between Group of Genetic Covariance Matrices . Biometrics , 34 : 429 – 439 .
- Klotz , J. H. , Milton , R.C. and Zacks , S. 1969 . Mean Square Efficiency of Estimators of Variance Components . Jour. Amer. Statist. Assoc. , 64 : 1383 – 1402 .
- Klotz , J. H. and Putter , J. 1969 . Maximum Likelihood Estimation of Multivariate Covariance Components for the Balanced One-way Layout . Ann. Math. Statist. , 40 : 1100 – 1105 .
- Patterson , H. D. and Thomson , R. 1971 . Recovery of Inter-Block Information when Block Sizes are Unequal . Biometrika , 58 : 545 – 554 .
- Patterson , H. D. and Thomson , R. . Maximum Likelihood Estimation of Components of Variance . Proceedings of Eighth International Biometric Conference . Edited by: Corsten , L. C. A. and Postelnica , T. pp. 197 – 207 . Washington, D. C. : Biometric Society .
- Rao , C. R. 1971 . Linear Statistical Inference and its application , Wiley Eastern Pvt. Ltd .
- Srivastava , M. S. and Khatri , C. G. 1979 . An Introduction to Multivariate Statistics , New York : North Holland .
- Stein , C. 1964 . Inadmissibility of the Usual Estimator for the Variance of a Normal Distribution with Unknown Mean . Ann. Inst. Statist. Math. , 16 : 155 – 160 .
- Thompson , W. A. 1962 . The Problem of Negative Estimators of Variance Components . Ann. Math. Stat. , 33 : 273 – 289 .