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ISBN
9781402070587
EAN
9781402070587
Series
The Springer International Series in Engineering and Computer Science Ser., The Springer International Series in Engineering and Computer Science
Publication Year
2002
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Probability Distributions Involving Gaussian Random Variables : A Handbook for Engineers and Scientists
Author
Marvin Kenneth Simon
Item Length
9.3in
Publisher
Springer
Item Width
6.1in
Item Weight
18 Oz
Number of Pages
Xxiv, 200 Pages, 200 Pages

Über dieses Produkt

Product Information

This book is intended for use by students, academicians and practicing engineers who in the course of their daily study or research have need for the probability distributions and associated statistics of random variables that are themselves Gaussian or in various forms derived from them. The format of the book is primarily that of a handbook in that, for the most part, the results are merely presented in their final form without derivation or discussion. As such the reader must rely on the typographical accuracy of the documented expressions, which the author has taken great pains to assure. Also included at the end of the book are numerous curves illustrating the behavior of a variety of the probability measures presented in mathematical form. The author wishes to acknowledge his many colleagues in industry and academia for the encouragement and support they provided for this project without which it might never have gotten started. INTRODUCTION There are certain reference works that engineers and scientists alike find invaluable in their day-to-day work activities. Many of these reference volumes are of a generic nature such as tables of integrals, tables of series, handbooks of mathematical formulas and transforms, etc. (see Refs. 1, 2, 3, and 4 for example), whereas others are collections of technical papers and textbooks that directly relate to the individual's specific field of specialty.

Product Identifiers

Publisher
Springer
ISBN-10
1402070586
ISBN-13
9781402070587
eBay Product ID (ePID)
2275966

Product Key Features

Author
Marvin Kenneth Simon
Publication Name
Probability Distributions Involving Gaussian Random Variables : A Handbook for Engineers and Scientists
Format
Hardcover
Language
English
Series
The Springer International Series in Engineering and Computer Science Ser., The Springer International Series in Engineering and Computer Science
Publication Year
2002
Type
Textbook
Number of Pages
Xxiv, 200 Pages, 200 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Weight
18 Oz
Item Weight
18 Oz

Additional Product Features

Series Volume Number
683
Number of Volumes
1 Vol.
Lc Classification Number
Qa273.A1-274.9
Publication Date
2002-05-31
Reviews
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 any researcher working in probabilistic and stochastic analysis and modeling in the natural or social sciences. The material is timeless and has intrinsic value to today''s and tomorrow''s practicing engineers and scientists Endorsed by top experts in field worldwide, ensuring quality and value Excerpts from reviews of the hardbound edition: 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 replaced various other well known resources because of its concentration of relevant, timely, and easily accessible results. --Dr. Larry Milstein, UCSD 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. --Dr. John Proakis, Northeastern University and UCSD ... this book collected all these results (after double-checking them) with unified notations and in an organized fashion made it very useful for many of the graduate students and researchers doing analytical type of investigations. Not only did I use it, I also recommend it to my graduate students and many of our papers benefited from the formulas available in the handbook.... The handbook saves valuable time for all the researchers that rely on it to simplify their results or write them in terms of well-known functions that are available in popular mathematical packages such as Matlab and Mathematica. --Dr. Mohamed-Slim Alouini, Texas A&M University The distributions and associated statistics described in the book apply to systems like mobile and cellular communications, vehicular technology, radar systems, spread spectrum systems, and optical communication systems. The book, with its comprehensive information in analytical, tabular, and graphical form, is an invaluable tool for scientists and engineers. --Dr. Sergio Benedetto, Politecnico di Torino The book "Probability Distributions Involving Gaussian Random Variables" is a handy research reference in areas such as communication systems. I have found the book useful for my own work, since it presents probability distributions that are difficult to find elsewhere and that have non-obvious derivations. --Dr. Gordon Stüber, Georgia Institute of Technology A unique and invaluable reference for researchers in communications, signal processing, math, statistics, and many other scientific fields. I have used this book in my own research and also recommended it to colleagues in universities and in industry, as well as to graduate students. --Dr.
Table of Content
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.
Copyright Date
2002
Topic
Probability & Statistics / General, Electrical, Applied
Lccn
2002-021865
Dewey Decimal
519.2/4
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Technology & Engineering, Mathematics

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