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# ๐ Elementary Probability Theory: With Stochastic Processes and an Introduction to Mathematical Finance by K. L. Chung, Farid AitSahlia โ 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**

Security code:

This volume deals with the analysis of nonlinear evolution problems described by partial differential equations having random or stochastic parameters. The emphasis throughout is on the actual determination of solutions, rather than on proving the existen...

A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probabil...

Loosely speaking, adaptive systems are designed to deal with, to adapt to, changยญ ing environmental conditions whilst maintaining performance objectives. Over the years, the theory of adaptive systems evolved from relatively simple and intuitive concepts ...

Inย Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and techniques for stochastic dynamics analysis, prediction of reliability, and system control of structures within the innovative theoretical framework of physical st...

Cover -- Table of Contents -- Preface -- Chapter 1. Introduction -- 1.1. Examples of Time Series -- 1.2. Objectives of Time Series Analysis -- 1.3. Some Simple Time Series Models -- 1.4. Stationary Models and the Autocorrelation Function -- 1.5. E...

This book offers a concise survey of basic probability theory from a thoroughly subjective point of view whereby probability theory is a mode of judgement. Written by one of the greatest figures in the field of probability theory, the book is both a summa...

This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Profe...

Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the bas...

A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus. The main aim of the book is to smooth the transition from the problem-solving approach of standard calculus to the more ri...

Collaboration between organizations on different continents can raise issues of economic development, health, the environment, risk sharing, supply chain efficiency and human resource management. It is an activity that can touch upon almost every aspect o...