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Probability Distributions Involving Gaussian Random Variables : A Handbook for Engineers and Scientists / by Marvin K. Simon

1st ed. 2002.
出版者 (New York, NY : Springer US : Imprint: Springer)
出版年 2002
本文言語 英語
大きさ XXIV, 200 p : online resource
著者標目 *Simon, Marvin K author
SpringerLink (Online service)
件 名 LCSH:Probabilities
LCSH:Mathematical models
LCSH:Electrical engineering
LCSH:Telecommunication
LCSH:Engineering mathematics
LCSH:Engineering -- Data processing  全ての件名で検索
LCSH:Computer engineering
LCSH:Computer networks 
FREE:Probability Theory
FREE:Mathematical Modeling and Industrial Mathematics
FREE:Electrical and Electronic Engineering
FREE:Communications Engineering, Networks
FREE:Mathematical and Computational Engineering Applications
FREE:Computer Engineering and Networks
一般注記 A Brief Biography of Carl Friedrich Gauss -- Preface -- Acknowledgment -- Introduction -- Basic Definitions and Notation -- Fundamental One-Dimensional Variables -- Fundamental Multidimensional Variables -- Difference of Chi-Square Random Variables -- Sum of Chi-Square Random Variables -- Products of Random Variables -- Ratios of Random Variables -- Maximum and Minimum of Pairs of Random Variables -- Quadratic Forms -- Other Miscellaneous Forms -- Appendix A: Alternative Forms -- One-Dimensional Distributions and Functions -- Two-Dimensional Distributions and Functions -- Appendix B: Integrals Involving Q-Functions -- The Gaussian Q-Function -- The First-Order Marcum Q-Function -- The Generalized (MTH-Order) Marcum Q-Function -- Appendix C: Bounds on the Gaussian Q-Function and the Marcum Q-Function -- The Gaussian Q-Function -- The Marcum Q-Function -- References -- Illustrations
This handbook, now available in paperback, brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians. The handbook is not specific to fixed research areas, but rather it has a generic flavor that can be applied by anyone working with probabilistic and stochastic analysis and modeling. Classic results are presented in their final form without derivation or discussion, allowing for much material to be condensed into one volume. Concise compilation of disparate formulae saves time in searching different sources. Focused application has broad interest for many disciplines: engineers, computer scientists, statisticians, physicists; as well as for any researcher working in probabilistic and stochastic analysis and modeling in the natural or social sciences. The material is timeless, with intrinsic value to practicing engineers and scientists. Excerpts from reviews of the hardbound edition: This is a unique book and an invaluable reference for engineers and scientists in the fields of electrical engineering, mathematics and statistics. There is no other single reference book that covers Gaussian and Gaussian-related distributions of random variables that are encountered in research work and practice. This is a reference book that I recommend to all my graduate students working in the area of telecommunication system analysis and design. --John Proakis, Professor Emeritus, Northeastern University and Adjunct Professor, University of California, San Diego The reference book Probability Distributions Involving Gaussian Random Variables, authored by Dr. Marvin Simon, has become, in a very short time frame, one of the most useful aids to research in the field of digital communications that has come out in many years. It has numerous results that can save researchers in the field endless hours of work. It has replaced various other well known resources because of its concentration of relevant, timely, and easily accessible results. -- Larry Milstein, UCSD There are a small number of reference works that have proven so invaluable that I have purchased a home copy in addition to my office copy. This handbook is one of them. -- Dr. Norman C. Beaulieu, University of Alberta The Gaussian distribution and those derived from it are at the very core of a huge number of problems in multi-disciplinary fields of engineering, mathematics and science… The book, with its comprehensive information in analytical, tabular, and graphical form, is an invaluable tool for scientists and engineers. -- Sergio Benedetto, Politecnico di Torino More testimonials can be found in the front of this edition
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書誌ID 4000104590
ISBN 9780387476940

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