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

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...

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Bibliographic Details
Main Author: Simon, Marvin K. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer US : Imprint: Springer, 2002.
Edition:1st ed. 2002.
Series:Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.