# Probability and Random Processes

John Wiley & Sons, Jun 27, 2006 - Mathematics - 420 pages
A resource for probability AND random processes, with hundreds ofworked examples and probability and Fourier transform tables

This survival guide in probability and random processes eliminatesthe need to pore through several resources to find a certainformula or table. It offers a compendium of most distributionfunctions used by communication engineers, queuing theoryspecialists, signal processing engineers, biomedical engineers,physicists, and students.

Key topics covered include:
* Random variables and most of their frequently used discrete andcontinuous probability distribution functions
* Moments, transformations, and convergences of randomvariables
* Characteristic, generating, and moment-generating functions
* Computer generation of random variates
* Estimation theory and the associated orthogonalityprinciple
* Linear vector spaces and matrix theory with vector and matrixdifferentiation concepts
* Vector random variables
* Random processes and stationarity concepts
* Extensive classification of random processes
* Random processes through linear systems and the associated Wienerand Kalman filters
* Application of probability in single photon emission tomography(SPECT)

More than 400 figures drawn to scale assist readers inunderstanding and applying theory. Many of these figures accompanythe more than 300 examples given to help readers visualize how tosolve the problem at hand. In many instances, worked examples aresolved with more than one approach to illustrate how differentprobability methodologies can work for the same problem.

Several probability tables with accuracy up to nine decimal placesare provided in the appendices for quick reference. A specialfeature is the graphical presentation of the commonly occurringFourier transforms, where both time and frequency functions aredrawn to scale.

This book is of particular value to undergraduate and graduatestudents in electrical, computer, and civil engineering, as well asstudents in physics and applied mathematics. Engineers, computerscientists, biostatisticians, and researchers in communicationswill also benefit from having a single resource to address mostissues in probability and random processes.

### What people are saying -Write a review

User Review - Flag as inappropriate

fhxn

### Contents

 CHAPTER 1 Sets Fields and Events 1 CHAPTER 2 Probability Space and Axioms 10 CHAPTER 3 Basic Combinatorics 25 CHAPTER 4 Discrete Distributions 37 CHAPTER 5 Random Variables 64 CHAPTER 6 Continuous Random Variables and Basic Distributions 79 CHAPTER 7 Other Continuous Distributions 95 CHAPTER 8 Conditional Densities and Distributions 122
 CHAPTER 15 Computer Methods for Generating Random Variates 264 CHAPTER 16 Elements of Matrix Algebra 284 CHAPTER 17 Random Vectors and MeanSquare Estimation 311 CHAPTER 18 Estimation Theory 340 CHAPTER 19 Random Processes 406 CHAPTER 20 Classification of Random Processes 490 CHAPTER 21 Random Processes and Linear Systems 574 CHAPTER 22 Weiner and Kalman Filters 625

 CHAPTER 9 Joint Densities and Distributions 135 CHAPTER 10 Moments and Conditional Moments 146 CHAPTER 11 Characteristic Functions and Generating Functions 155 CHAPTER 12 Functions of a Single Random Variable 173 CHAPTER 13 Functions of Multiple Random Variables 206 CHAPTER 14 Inequalities Convergences and Limit Theorems 241
 CHAPTER 23 Probabilistic Methods in Transmission Tomography 666 APPENDIXES 683 References 714 Index 716 Copyright