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# đź“™ 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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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...

Presenting probability in a natural way, this book uses interesting, carefully selected instructive examples that explain the theory, definitions, theorems, and methodology. Fundamentals of Probability has been adopted by the American Actuarial Societ...

Mathematics and Technologypresents technological applications of mathematics making use of elegant mathematical concepts. The selected subjects consist of: public key cryptography, error correcting codes, the global positioning system (GPS) and cartograph...

QoS is an important subject which occupies a central place in overall packet network technologies.Â A complex subject, its analysis involves such mathematical disciplines as probability, random variables, stochastic processes and queuing.Â These mathematic...

The book â€śFoundational Theories of Classical and Constructive Mathematicsâ€ť is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of construc...

The focus of this monograph is on problems in analytical probability theory which give rise to functional equations. It emphasizes the most recent developments of the Integrated Cauchy Functional Equation and its application to characterization problems i...

This textbook is an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws ...

The past several years have seen the creation and extension of a very conclusive theory of statistics and probability. Many of the research workers who have been concerned with both probability and statistics felt the need for meetings that provide an opp...

This text develops the theory of systems of stochastic differential equations, and it presents applications in probability, partial differential equations, and stochastic control problems. Originally published in two volumes, it combines a book of basic t...