November 2006
Intermediate to advanced
656 pages
16h 37m
English
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Appendix C. Probabilities and Stochastic Processes
Communication systems, particularly computer networks, often encounter random arrivals of tasks as packets. Such systems require analysis using the theory of probabilities, as seen in various chapters. This appendix reviews principles of probability theory, random variables, and random processes.
C.1 Probability Theory
Let’s first consider a random experiment, such as producing random logic 0s and 1s. The sample space of the experiment, usually denoted by the symbol S, consists of the set of all possible outcomes, indicated by w. In this case, for integers 0 and 1, the sample space is S = {0, 1}. We define an event, A, to be a subset of sample space, which may consist of any number of sample ...
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