A finished, must-have instruction manual of matrix tools with a distinct emphasis on statistical purposes
This well timed publication, A Matrix instruction manual for Statisticians, presents a finished, encyclopedic remedy of matrices as they relate to either statistical options and methodologies. Written by way of an skilled authority on matrices and statistical conception, this guide is equipped via subject instead of mathematical advancements and comprises a variety of references to either the speculation at the back of the tools and the functions of the equipment. A uniform strategy is utilized to every bankruptcy, which includes 4 components: a definition by way of an inventory of effects; a brief checklist of references to similar themes within the e-book; a number of references to proofs; and references to functions. using wide cross-referencing to subject matters in the publication and exterior referencing to proofs allows definitions to be positioned simply in addition to interrelationships between topic components to be recognized.
A Matrix guide for Statisticians addresses the necessity for matrix idea themes to be offered jointly in a single ebook and lines a suite of issues now not discovered somewhere else lower than one hide. those issues include:
A wide variety of unique matrices and their properties
Special items and operators, comparable to the Kronecker product
Partitioned and patterned matrices
Matrix research and approximation
Random vectors and matrices
Inequalities, corresponding to probabilistic inequalities
Additional subject matters, similar to rank, eigenvalues, determinants, norms, generalized inverses, linear and quadratic equations, differentiation, and Jacobians, also are incorporated. The publication assumes a basic wisdom of vectors and matrices, keeps a cheap point of abstraction while acceptable, and offers a complete compendium of linear algebra effects with use or capability use in facts. A Matrix guide for Statisticians is an important, exceptional e-book for graduate-level classes in complicated statistical reviews together with linear and nonlinear versions, multivariate research, and statistical computing. It additionally serves as a good self-study consultant for statistical researchers.
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