Intuitive probability & random processes using MATLAB


Language: Anglais
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852 p. · Hardback
Intuitive Probability and Random Processes using MATLAB® is an introduction to probability and random processes that merges theory with practice. Based on the author's belief that only "hands-on" experience with the material can promote intuitive understanding, the approach is to motivate the need for theory using MATLAB examples, followed by theory and analysis, and finally descriptions of "real-world" examples to acquaint the reader with a wide variety of applications. The latter is intended to answer the usual question "Why do we have to study this?" Other salient features are: heavy reliance on computer simulation for illustration and student exercises, the incorporation of MATLAB programs and code segments, discussion of discrete random variables followed by continuous random variables to minimize confusion, summary sections at the beginning of each chapter, in-line equation explanations, warnings on common errors and pitfalls, over 750 problems designed to help the reader assimilate and extend the concepts. This volume is intended for undergraduate and first-year graduate students in engineering. The practicing engineer as well as others having the appropriate mathematical background will also benefit from this book.
Introduction.- Computer Simulation.- Basic Probability.- Conditional Probability.- Discrete Random Variables.- Expected Values for Discrete Random Variables.- Multiple Discrete Random Variables.- Conditional Probability Mass Functions.- Discrete N-dimensional Random Variables.- Continuous Random Variables.- Expected Values for Continuous Random Variables.- Multiple Continuous Random Variables.- Conditional Probability Density Functions.- Continuous N-dimensional Random Variables.- Probability and Moment Approximations Using Limit Theorems.- Basic Random Processes.- Wide Sense Stationary Random Processes.- Linear Systems and Wide Sense Stationary Random Processes.- Multiple Wide Sense Stationary Random Processes.- Gaussian Random Processes.- Poisson Random Processes.- Markov Chains.- Appendix A: Glossary of Symbols and Abbreviations.- Appendix B: Assorted Math Facts and Formulas.- Appendix C: Linear and Matrix Algebra.- Appendix D: Summary of Signal. Linear Transform. and Linear Systems.- Appendix E: Answers to Selected Problems.
From the reviews:"The book is composed of 22 chapters. ... This is a very readable book. ... Kay's book undoubtedly will see its greatest use in engineering schools, but I think it would work nicely in other settings as well. ... It is written in a clear and informal style that students will appreciate, its coverage is excellent, and the author's stated objective (to lessen the difficulty that students usually experience assimilating and applying probability and random processes) will, I predict, be met." (Ralph P. Russo, The American Statistician, Vol. 62 (2), May, 2008)