This book is a revised and expanded edition of a successful graduate
and reference text. The material in the book is designed for a standard
graduate course on probability theory, including some important
applications. This new edition contains a detailed treatment of the
core area of probability, and both structural and limit results are
presented in full detail. Compared to the first edition, the material
and presentation are better highlighted with several (small and large)
alterations made to each chapter. Key features of the book include: -
Indicating the need for abstract theory even in applications and
showing the inadequacy of existing results for certain apparently
simple real-world problems - Attempting to deal with the existence
problems for various classes of random families that figure in the main
results of the subject - Providing a treatment of conditional
expectations and of conditional probabilities that is more complete
than in other existing textbooks Since this is a textbook, essentially
all proofs are given in complete detail (even at the risk of
repetition), and some key results are given multiple proofs when each
argument has something to contribute.
Probability Theory with Applications ISBN: 0387277307 4.2 MBFormat: PDF Author: M. M., Rao Randall J., Swift R. J., Swift Publisher: Springer