Applied Probability and Stochastic Processes
Autor Frank Beichelten Limba Engleză Paperback – 30 sep 2020
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: 9780367658496
ISBN-10: 0367658496
Pagini: 576
Dimensiuni: 156 x 234 mm
Greutate: 0.79 kg
Ediția:2 New edition
Editura: CRC Press
Colecția Chapman and Hall/CRC
ISBN-10: 0367658496
Pagini: 576
Dimensiuni: 156 x 234 mm
Greutate: 0.79 kg
Ediția:2 New edition
Editura: CRC Press
Colecția Chapman and Hall/CRC
Public țintă
UndergraduateCuprins
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,