A First Course in Linear Model Theory

By Nalini Ravishanker, Dipak K. Dey. 2001

222 citations recorded by the source corpus.

A Review of Vector and Matrix Algebra. Properties of Special Matrices. Generalized Inverse and Solutions to Linear Systems. The General Linear Model. Multivariate Normal And Related Distributions. Sampling From the Multivariate Normal Distribution. Inference for the General Linear Model. Multiple Regression Models. Fixed Effects Linear Models. Random Effects and Mixed-Effects Models. Special Topics. Appendix.

Subfields: Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/d1568374570ab8b5109fa52659b9ff4a115e6034

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In Management Science and Operations Research

Citations in the corpus

Bayesian Hierarchical Models With Conjugate Full-Conditional Distributions for Dependent Data From the Natural Exponential Family (2017, background): “Also, Proposition 1(ii), shows that if we restrict V (or equivalently V−1) to be a lower unit triangle matrix, then the expression of the covariance matrix of Y in (9) is a type of LDL decomposition (Ravishanker and Dey, 2002).”
Extending conventional priors for testing general hypotheses in linear models (2007, background): “We show a most interesting result, namely that non degenerate conventional Bayes factors exist for testing null (reduced) models defined by testable hypotheses (see Rencher 2000; Ravishanker and Dey 2002).”