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The salient features of this book are . Functional and statistical independence of random variables are explained. . Ready reference to commonly occurring density and distribution functions and their means and variances is provided. . A section on Benford’s logarithmic law, which is used in detecting tax fraud, is included. . More than 300 examples, many of them solved in different ways to illustrate the theory and various applications of probability, are presented. . Most examples have been substantiated with graphs drawn to scale.

To eectively combat multipath fading across multiple protocol layers in wireless networks, this dissertation develops energy-ecient algorithms that employ certain kinds of cooperation among terminals, and illustrates how one might incorporate these algorithms into various network architectures. In these techniques, sets of terminals relay signals for each other to create a virtual antenna array, trading o the costs|in power, bandwidth, and complexity|for the greater benets gained by exploiting spatial diversity in the channel. By contrast, classical network architectures only employ point-to-point transmission and thus forego these benets