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Applied Probability and Stochastic Processes

Autor Frank Beichelt
en Limba Engleză Hardback – 3 mai 2016
Applied Probability and Stochastic Processes, Second Edition presents a self-contained introduction to elementary probability theory and stochastic processes with a special emphasis on their applications in science, engineering, finance, computer science, and operations research. It covers the theoretical foundations for modeling time-dependent random phenomena in these areas and illustrates applications through the analysis of numerous practical examples. The author draws on his 50 years of experience in the field to give your students a better understanding of probability theory and stochastic processes and enable them to use stochastic modeling in their work.
New to the Second Edition
  • Completely rewritten part on probability theory—now more than double in size
  • New sections on time series analysis, random walks, branching processes, and spectral analysis of stationary stochastic processes
  • Comprehensive numerical discussions of examples, which replace the more theoretically challenging sections
  • Additional examples, exercises, and figures
Presenting the material in a student-friendly, application-oriented manner, this non-measure theoretic text only assumes a mathematical maturity that applied science students acquire during their undergraduate studies in mathematics. Many exercises allow students to assess their understanding of the topics. In addition, the book occasionally describes connections between probabilistic concepts and corresponding statistical approaches to facilitate comprehension. Some important proofs and challenging examples and exercises are also included for more theoretically interested readers.
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Specificații

ISBN-13: 9781482257649
ISBN-10: 1482257645
Pagini: 574
Ilustrații: 122
Dimensiuni: 156 x 234 x 28 mm
Greutate: 2.05 kg
Ediția:Revised
Editura: CRC Press
Colecția Chapman and Hall/CRC

Public țintă

Undergraduate

Cuprins

PROBABILITY THEORY: RANDOM EVENTS AND THEIR PROBABILITIES. ONE-DIMENSIONAL RANDOM VARIABLES. MULTIDIMENSIONAL RANDOM VARIABLES. FUNCTIONS OF RANDOM VARIABLES. INEQUALITIES AND LIMIT THEOREMS. STOCHASTIC PROCESSES: BASICS OF STOCHASTIC PROCESSES. RANDOM POINT PROCESSES. DISCRETE-TIME MARKOV CHAINS. CONTINUOUS-TIME MARKOV CHAINS. MARTINGALES. BROWNIAN MOTION. SPECTRAL ANALYSIS OF STATIONARY PROCESSES. REFERENCES. INDEX.

Notă biografică

Frank Beichelt is an honorary professor in the School of Statistics and Actuarial Science at the University of Witwatersrand. His research focuses on probability theory and mathematical statistics, including stochastic modeling in reliability, maintenance, and safety analysis. He is the author/coauthor of numerous papers and books, including the Chapman & Hall/CRC book Reliability and Maintenance: Networks and Systems. He holds a Dr. rer. nat. in mathematics and a Dr. sc. in engineering.

Descriere

This text presents a self-contained introduction to elementary probability theory and stochastic processes with a special emphasis on their applications in science, engineering, finance, computer science, and operations research. This edition provides a completely rewritten and expanded part on probability theory. Along with additional examples, exercises, and figures, it includes new sections on time series analysis, random walks, branching processes, and spectral analysis of stationary stochastic processes. It also offers numerical discussions of examples, which replace theoretically challenging sections from the first edition.