Informal Introduction to Stochastic Processes with Maple: Universitext
Autor Jan Vrbik, Paul Vrbiken Limba Engleză Paperback – dec 2012
Jan Vrbik has been a Professor of Mathematics and Statistics at Brock University in St Catharines, Ontario, Canada, since 1982.
Paul Vrbik is currently a PhD candidate in Computer Science at the University of Western Ontario in London, Ontario, Canada.
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Specificații
ISBN-13: 9781461440567
ISBN-10: 1461440564
Pagini: 300
Ilustrații: X, 287 p. 54 illus. With online files/update.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.42 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria Universitext
Locul publicării:New York, NY, United States
ISBN-10: 1461440564
Pagini: 300
Ilustrații: X, 287 p. 54 illus. With online files/update.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.42 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria Universitext
Locul publicării:New York, NY, United States
Public țintă
Upper undergraduateCuprins
Contents.- Preface.- Finite Markov Chains.- Finite Markov Chains II.- Branching Processes.- Renewal Theory.- Poisson Process.- Birth and Death Processes I.- Birth and Death Processes II.- Continuous-Time Markov Chains.- Brownian Motion.- Autoregressive Models.- Basic Probability Review.- Maple Programming.- References.
Textul de pe ultima copertă
The book presents an introduction to Stochastic Processes including Markov Chains, Birth and Death processes, Brownian motion and Autoregressive models. The emphasis is on simplifying both the underlying mathematics and the conceptual understanding of random processes. In particular, non-trivial computations are delegated to a computer-algebra system, specifically Maple (although other systems can be easily substituted). Moreover, great care is taken to properly introduce the required mathematical tools (such as difference equations and generating functions) so that even students with only a basic mathematical background will find the book self-contained. Many detailed examples are given throughout the text to facilitate and reinforce learning.
Jan Vrbik has been a Professor of Mathematics and Statistics at Brock University in St Catharines, Ontario, Canada, since 1982.
Paul Vrbik is currently a PhD candidate in Computer Science at the University of Western Ontario in London, Ontario, Canada.
Jan Vrbik has been a Professor of Mathematics and Statistics at Brock University in St Catharines, Ontario, Canada, since 1982.
Paul Vrbik is currently a PhD candidate in Computer Science at the University of Western Ontario in London, Ontario, Canada.
Caracteristici
Complex ideas are presented in an informal way, while maintaining mathematical rigor Emphasis is on historically neglected generating functions Key ideas are demonstrated by Monte Carlo simulation done with modern computer algebra systems, followed by visual presentation of results Includes supplementary material: sn.pub/extras