Description

# Probability and Measure Theory (2^{nd} Ed.)

## Authors: Ash Robert B., Doleans-Dade Catherine A.

Language: Anglais## Subject for *Probability and Measure Theory*:

104.84 €

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Publication date: 12-1999

528 p. · 15.2x22.9 cm · Hardback

528 p. · 15.2x22.9 cm · Hardback

## Description

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*Probability and Measure Theory, Second Edition,*is a text for a graduate-level course in probability that includes essential background topics in analysis. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion.

- Clear, readable style
- Solutions to many problems presented in text
- Solutions manual for instructors
- Material new to the second edition on ergodic theory, Brownian motion, and convergence theorems used in statistics
- No knowledge of general topology required, just basic analysis and metric spaces
- Efficient organization

Summary of Notation

Fundamentals of Measure and Integration Theory

Further Results in Measure and Integration Theory

Introduction to Functional Analysis

Basic Concepts of Probability

Conditional Probability and Expectation

Strong Laws of Large Numbers and Martingale Theory

The Central Limit Theorem

Ergodic Theory

Brownian Motion and Stochastic Integrals

Fundamentals of Measure and Integration Theory

Further Results in Measure and Integration Theory

Introduction to Functional Analysis

Basic Concepts of Probability

Conditional Probability and Expectation

Strong Laws of Large Numbers and Martingale Theory

The Central Limit Theorem

Ergodic Theory

Brownian Motion and Stochastic Integrals

Graduate students, faculty, and other professionals in mathematics, statistics, engineering, and economics; graduate students and professionals in physics and computer science.

Robert B. Ash as written about, taught, or studied virtually every area of mathematics. His books include

*Information Theory*,*Topics in Stochastic Processes*,*The Calculus Tutoring Book*,*Introduction to Discrete Mathematics*, and*A Primer of Mathematics*.
© 2019 LAVOISIER S.A.S.