An easily accessible, real-world approach to probability and stochastic processes
Introduction to Probability and Stochastic Processes with Applications presents a clear, easy-to-understand treatment of probability and stochastic processes, providing readers with a solid foundation they can build upon throughout their careers. With an emphasis on applications in engineering, applied sciences, business and finance, statistics, mathematics, and operations research, the book features numerous real-world examples that illustrate how random phenomena occur in nature and how to use probabilistic techniques to accurately model these phenomena.
The authors discuss a broad range of topics, from the basic concepts of probability to advanced topics for further study, including Itô integrals, martingales, and sigma algebras. Additional topical coverage includes:
Distributions of discrete and continuous random variables frequently used in applications Random vectors, conditional probability, expectation, and multivariate normal distributions The laws of large numbers, limit theorems, and convergence of sequences of random variables Stochastic processes and related applications, particularly in queueing systems Financial mathematics, including pricing methods such as risk-neutral valuation and the Black-Scholes formula Extensive appendices containing a review of the requisite mathematics and tables of standard distributions for use in applications are provided, and plentiful exercises, problems, and solutions are found throughout. Also, a related website features additional exercises with solutions and supplementary material for classroom use. Introduction to Probability and Stochastic Processes with Applications is an ideal book for probability courses at the upper-undergraduate level. The book is also a valuable reference for researchers and practitioners in the fields of engineering, operations research, and computer science who conduct data analysis to make decisions in their everyday work.

Liliana Castaneda; Viswanathan Arunachalam; Selvamuthu Dharmaraja; Safari, an O'Reilly Media Company

Viswanathan Arunachalam, Selvamuthu Dharmaraja, Liliana Blanco Castañeda, Liliana Blanco Castañeda

Blanco Castañeda, Liliana; Arunachalam, Viswanathan, 1969-; Dharmaraja, Selvamuthu, 1972-

Liliana Blanco Castañeda, Viswanathan Arunachalam, Selvamuthu Dharmaraja

Liliana Blanco Castaneda, Viswanathan Arunachalam, Selvamuthu Dharmaraja

John Wiley & Sons, Incorporated

Wiley Global Research (STMS)

Hoboken, NJ: Wiley

EBL-Schweitzer, Online-ausg, Somerset, 2014

United States, United States of America

1., Auflage, New York, NY, 2012

1., Auflage, New York, NY, 2014

Hoboken, NJ, New Jersey, 2012

Hoboken, N.J, 2014

1st edition, 2012

1, 2012-07-16

1, PS, 2012

1, 08/2014

Inherent missng pages 398-410

Includes bibliographical references and index.

An easily accessible, real-world approach to probability and stochastic processes Introduction to Probability and Stochastic Processes with Applications presents a clear, easy-to-understand treatment of probability and stochastic processes, providing readers with a solid foundation they can build upon throughout their careers. With an emphasis on applications in engineering, applied sciences, business and finance, statistics, mathematics, and operations research, the book features numerous real-world examples that illustrate how random phenomena occur in nature and how to use probabilistic techniques to accurately model these phenomena. The authors discuss a broad range of topics, from the basic concepts of probability to advanced topics for further study, including ItO integrals, martingales, and sigma algebras. Additional topical coverage includes: -Distributions of discrete and continuous random variables frequently used in applications -Random vectors, conditional probability, expectation, and multivariate normal distributions -The laws of large numbers, limit theorems, and convergence of sequences of random variables -Stochastic processes and related applications, particularly in queueing systems -Financial mathematics, including pricing methods such as risk-neutral valuation and the Black-Scholes formula Extensive appendices containing a review of the requisite mathematics and tables of standard distributions for use in applications are provided, and plentiful exercises, problems, and solutions are found throughout. Also, a related website features additional exercises with solutions and supplementary material for classroom use. Introduction to Probability and Stochastic Processes with Applications is an ideal book for probability courses at the upper-undergraduate level. The book is also a valuable reference for researchers and practitioners in the fields of engineering, operations research, and computer science who conduct data analysis to make decisions in their everyday work

This Text Book Is Designed For A One-year Course In Probability And Stochastic Processes With Applications, Especially For Students Who Wish To Specialize In Probabilistic Modeling. This Book Bridges The Gap Between Elementary Texts And Advanced Texts In Probability And Is Easily Accessible For Students With Diverse Backgrounds And Majoring In Engineering, Applied Sciences, Business And Finance, Statistics, Mathematics, And Operations Research. The Text Contains Many Examples And Exercises Which Have Been Tested In Classrooms And Are Chosen From Diverse Areas Such As Queuing Models, Reliability And Finance. Chapter Coverage Includes: Basic Concepts; Random Variables And Their Distributions; Discrete Distributions; Continuous Distributions; Random Vectors; Multivariate Normal Distributions; Conditional Expectation; Limit Theorems; Stochastic Processes; Queuing Models; Stochastic Calculus; And Mathematical Finance--provided By Publisher. Front Matter -- Basic Concepts -- Random Variables And Their Distributions -- Some Discrete Distributions -- Some Continuous Distributions -- Random Vectors -- Conditional Expectation -- Multivariate Normal Distributions -- Limit Theorems -- Introduction To Stochastic Processes -- Introduction To Queueing Models -- Stochastic Calculus -- Introduction To Mathematical Finance -- Appendix A: Basic Concepts On Set Theory -- Appendix B: Introduction To Combinatorics -- Appendix C: Topics On Linear Algebra -- Appendix D: Statistical Tables -- Selected Problem Solutions -- References -- Glossary -- Index. Liliana Blanco Castañeda, Viswanathan Arunachalam, Selvamuthu Dharmaraja. Includes Bibliographical References And Index.

1 online resource
"This text book is designed for a one-year course in probability and stochastic processes with applications, especially for students who wish to specialize in probabilistic modeling. This book bridges the gap between elementary texts and advanced texts in probability and is easily accessible for students with diverse backgrounds and majoring in engineering, applied sciences, business and finance, statistics, mathematics, and operations research. The text contains many examples and exercises which have been tested in classrooms and are chosen from diverse areas such as queuing models, reliability and finance. Chapter coverage includes: basic concepts; random variables and their distributions; discrete distributions; continuous distributions; random vectors; multivariate normal distributions; conditional expectation; limit theorems; stochastic processes; queuing models; stochastic calculus; and mathematical finance"--
Includes bibliographical references and index
Description based on print version record and CIP data provided by publisher

2024-07-01