Introduction to Probability, Statistics, and Random Processes
Author: Hossein Pishro-Nik
Publisher: Kappa Research, LLC (24 Aug. 2014)
Language: English
Paperback: 744 pages
ISBN-10: 0990637204
ISBN-13: 9780990637202
Book Description
This book introduces students to probability, statistics, and stochastic processes. It can be used Author: both students and practitioners in engineering, various sciences, finance, and other related fields. It provides a clear and intuitive approach to these topics while maintaining mathematical accuracy.
The book covers:
Basic concepts such as random experiments, probability axioms, conditional probability, and counting methods
Single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities
Limit theorems and convergence
Introduction to Bayesian and classical statistics
Random processes including processing of random signals, Poisson processes, discrete-time and continuous-time Markov chains, and Brownian motion
Simulation using MATLAB and R (online chapters)
The book contains a large number of solved exercises. The dependency between different sections of this book has been kept to a minimum in order to provide maximum flexibility to instructors and to make the book easy to read for students. Examples of applications—such as engineering, finance, everyday life, etc.—are included to aid in motivating the subject. The digital version of the book, as well as additional materials such as videos, is available at www.probabilitycourse.com.
O Preface
1 Basic Concepts
Combinatorics: Counting Methods
3 Discrete Random Variables
4 Continuous and Mixed Random Variables
5 Joint Distributions
6 Multiple Random Variables
7 Limit Theorems and Convergence of Random Variables
8 Statistical Inference I: Classical Methods
Statistical Inference II Bayesian Inference
10 Introduction to Random Processes
11 Some Important Random Processes
12 Introduction to Simulatior Using MATLAB
13 Introduction to Simulatior Using R
14 Recursive Methods ppendix
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