Informal Introduction to Stochastic Processes with Maple

2013
ISBN: 978-1-4614-4056-7
Verlag: Springer

Buch, Englisch, 287 Seiten, Book w. online files / update, Format (B × H): 155 mm x 235 mm, Gewicht: 4569 g

Reihe: Universitext

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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Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Vrbik, Paul

Vrbik, Jan

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

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.