Bayesian Variance-Covariance Matrices and Selection Index
Ali, A., Al Sobayel, A. (1988). Bayesian Variance-Covariance Matrices and Selection Index. EKB Journal Management System, 32(2), 63-78. doi: 10.21608/esju.1988.316557
A. K. A. Ali; A. A. Al Sobayel. "Bayesian Variance-Covariance Matrices and Selection Index". EKB Journal Management System, 32, 2, 1988, 63-78. doi: 10.21608/esju.1988.316557
Ali, A., Al Sobayel, A. (1988). 'Bayesian Variance-Covariance Matrices and Selection Index', EKB Journal Management System, 32(2), pp. 63-78. doi: 10.21608/esju.1988.316557
Ali, A., Al Sobayel, A. Bayesian Variance-Covariance Matrices and Selection Index. EKB Journal Management System, 1988; 32(2): 63-78. doi: 10.21608/esju.1988.316557

Bayesian Variance-Covariance Matrices and Selection Index

The Egyptian Statistical Journal
Article 5, Volume 32, Issue 2, December 1988, Page 63-78  XML PDF (9.22 MB)
Document Type: Original Article
DOI: 10.21608/esju.1988.316557
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Authors
A. K. A. Ali; A. A. Al Sobayel
Animal Production Departement, College of Agriculture, King Saud University, Riyadh, Saudi Arabia
Abstract
Bayesian estimates of variance-covariance matrix have been obtained. Two loss functions were used to estimate five Bayesian matrices of variance-covariance matrix S. The data included 1000 animals and five correlated traits, measured simultaneously on each animal. Determinant, traces, eigenvalues and eigenvectors were estimated for the Bayesian matrices. Weighting coefficients of five selection indices were calculated. The genetic gain of these indices was obtained. All estimates of phenotypic variance-covariance matrix used in selection indices computations have led to a close magnitude of the expected genetic gain. Different estimates of ∑ are all relative to a given loss function.
Keywords
Bayesian Estimates; Loss Functions; Selection Index; Variance-Covariance Matrices
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