Students and teachers of mathematics and related fields will
find this book a comprehensive and modern approach to probability
theory, providing the background and techniques to go from the
beginning graduate level to the point of specialization in research
areas of current interest. The book is designed for a two- or
three-semester course, assuming only courses in undergraduate real
analysis or rigorous advanced calculus, and some elementary linear
algebra. A variety of applications Bayesian statistics, financial
mathematics, information theory, tomography, and signal processing
appear as threads to both enhance the understanding of the relevant
mathematics and motivate students whose main interests are outside
of pure areas.
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