Probability and Measure Theory
Autor Robert B. Ash, Catherine A. Doleans-Dadeen Limba Engleză Hardback – 7 dec 1999
- 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
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Specificații
ISBN-13: 9780120652020
ISBN-10: 0120652021
Pagini: 528
Dimensiuni: 152 x 229 x 39 mm
Greutate: 0.96 kg
Ediția:New.
Editura: ELSEVIER SCIENCE
ISBN-10: 0120652021
Pagini: 528
Dimensiuni: 152 x 229 x 39 mm
Greutate: 0.96 kg
Ediția:New.
Editura: ELSEVIER SCIENCE
Public țintă
Graduate students, faculty, and other professionals in mathematics, statistics, engineering, and economics; graduate students and professionals in physics and computer science.Cuprins
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
Recenzii
"There are numerous probability texts on the market, which makes choosing one difficult. If you are a financial professional who knows basic probability theory, but wants to take the next step in sophistication, this is the essential text. It introduces basic measure theory and functional analysis, and then delves into probability. The writing is clear and highly accessible. The choice of topics is perfect for financial engineers or financial risk managers: martingales, the inversion theorem, the central limit theorem, Brownian motion and stochastic integrals. I can't praise this book enough. It is exceptional!" --http://www.contingencyanalysis.com