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Probability and Measure Theory
2nd Edition - November 15, 1999
Authors: Robert B. Ash, Catherine A. Doleans-Dade
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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… Read more
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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
Graduate students, faculty, and other professionals in mathematics, statistics, engineering, and economics; also, graduate students and professionals in physics and computer science
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.
No. of pages: 528
Published: November 15, 1999
Imprint: Academic Press
Hardback ISBN: 9780120652020
Other ISBN: 9780080514871
Robert B. Ash
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.