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# ðŸ“™ Elementary Probability Theory: With Stochastic Processes and an Introduction to Mathematical Finance by K. L. Chung, Farid AitSahlia â€” pdf free

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This is an introductory textbook on probability theory and its applications. Basic concepts such as probability measure, random variable, distribution, and expectation are fully treated without technical complications. Both the discrete and continuous cases are covered, the elements of calculus being used in the latter case. The emphasis is on essential probabilistic reasoning, amply motivated, explained, and illustrated with a large number of carefully selected examples. Special topics include combinatorial problems, urn schemes, Poisson processes, random walks, genetic models, and Markov chains. Problems with solutions are provided at the end of each chapter. Its easy style and full discussion make this a useful text not only for mathematics and statistics majors, but also for students in engineering and physical, biological, and social sciences. This edition adds two new chapters covering applications to mathematical finance. Elements of modern portfolio and option theories are presented in a detailed and rigorous manner. The approach distinguishes this text from other more mathematically advanced treatises or more technical manuals. Kai Lai Chung is Professor Emeritus of Mathematics at Stanford University. Farid AitSahlia is a Senior Scientist with DemandTec, where he develops econometric and optimization methods for demand-based pricing models. He is also a visiting scholar in the department of statistics at Stanford University, where he obtained his Ph.D.in operations research.

## About book:

## About file:

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- Series:
**Undergraduate Texts in Mathematics** - Author:
**K. L. Chung, Farid AitSahlia** - Year:
**2010** - Publisher:
**Springer** - Language:
**English** - ISBN:
**9781441930620,1441930620**

- File size:
**9 596 037** - Format:
**pdf**

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This book presents a selection of topics from probability theory. Essentially, the topics chosen are those that are likely to be the most useful to someone planning to pursue research in the modern theory of stochastic processes. The prospective reader is...

In this edition two new chapters, 9 and 10, on mathematical finance are added. They are written by Dr. Farid AitSahlia, ancien eleve, who has taught such a course and worked on the research staff of several industrial and financial institutions. The new t...

This book is a collection of exercises covering all the main topics in the modern theory of stochastic processes and its applications, including finance, actuarial mathematics, queuing theory, and risk theory.The aim of this book is to provide the reader ...

The Sixth Edition of this very successful textbook, Introduction to Probability Models, introduces elementary probability theory and stochastic processes. This book is particularly well-suited for those who want to see how probability theory can be applie...

The Sixth Edition of this very successful textbook, Introduction to Probability Models, introduces elementary probability theory and stochastic processes. This book is particularly well-suited for those who want to see how probability theory can be applie...

Ross's classic bestseller, Introduction to Probability Models, has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. It provides an introduction to elementary probability theory and st...

The fourth edition of "Probability, Random Variables and Stochastic Processes" has been updated significantly from the previous edition, and it now includes co-author S. Unnikrishna Pillai of Polytechnic University. The book is intended for a senior/gradu...

This work is an attempt to lay new foundations for probability theory, using a tiny bit of nonstandard analysis. The matematical background required is little more than that which is taught in high school, and it is my hope that it will make deep results ...

This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has a...