Informal Introduction to Stochastic Processes with Maple

, (Autoren)

Buch | Softcover
287 Seiten
2012
Springer-Verlag New York Inc.
978-1-4614-4056-7 (ISBN)

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Informal Introduction to Stochastic Processes with Maple - Jan Vrbik, Paul Vrbik
53,49 inkl. MwSt
This introduction covers Markov Chains, Birth and Death processes, Brownian motion and Autoregressive models, using the Maple computer-algebra system to simplify both the underlying mathematics and the conceptual understanding of random processes.
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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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.

Erscheint lt. Verlag 1.12.2012
Reihe/Serie Universitext
Zusatzinfo 54 Illustrations, black and white; X, 287 p. 54 illus. With online files/update.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Computerprogramme / Computeralgebra
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 1-4614-4056-4 / 1461440564
ISBN-13 978-1-4614-4056-7 / 9781461440567
Zustand Neuware
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