Ebook: Informal Introduction to Stochastic Processes with Maple
Author: Jan Vrbik Paul Vrbik (auth.)
- Genre: Computers // Software: Systems: scientific computing
- Tags: Probability Theory and Stochastic Processes, Statistics and Computing/Statistics Programs, Operations Research Management Science
- Series: Universitext
- Year: 2013
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
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.
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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.
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.
Content:
Front Matter....Pages i-x
Introduction....Pages 1-4
Finite Markov Chains....Pages 5-38
Finite Markov Chains II....Pages 39-71
Branching Processes....Pages 73-90
Renewal Theory....Pages 91-110
Poisson Process....Pages 111-131
Birth and Death Processes I....Pages 133-160
Birth-and-Death Processes II....Pages 161-175
Continuous-Time Markov Chains....Pages 177-195
Brownian Motion....Pages 197-213
Autoregressive Models....Pages 215-250
Basic Probability Review....Pages 251-267
Maple Programming....Pages 269-279
Back Matter....Pages 281-287
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.
Content:
Front Matter....Pages i-x
Introduction....Pages 1-4
Finite Markov Chains....Pages 5-38
Finite Markov Chains II....Pages 39-71
Branching Processes....Pages 73-90
Renewal Theory....Pages 91-110
Poisson Process....Pages 111-131
Birth and Death Processes I....Pages 133-160
Birth-and-Death Processes II....Pages 161-175
Continuous-Time Markov Chains....Pages 177-195
Brownian Motion....Pages 197-213
Autoregressive Models....Pages 215-250
Basic Probability Review....Pages 251-267
Maple Programming....Pages 269-279
Back Matter....Pages 281-287
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