Books in the Series On Multivariate Analysis series

Intended as a text accompanying the traditional graduate courses on probability theory, this title puts emphasis on algebraic-topological aspects leading to a wider and deeper understanding of basic theorems such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments.

The main purpose of this text is to present information channels in the environment of real and functional analysis as well as probability theory. Further aspects of information channels including measurability, approximation and noncommuntative extensions are also discussed.

This text aims to provide a clear and deep understanding of the general linear model using simple statistical ideas. Elegant geometric arguments are also invoked as needed and a review of vector spaces and matrices is provided to make the treatment self-contained.