|
|
|
ELEMENTS OF STOCHASTIC MODELLING
by K Borovkov (The University of Melbourne, Australia)
This textbook has been developed from the lecture notes for a one-semester course on stochastic modelling. It reviews the basics of probability theory and then covers the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation. Rigorous proofs are often replaced with sketches of arguments with indications as to why a particular result holds, and also how it is connected with other results and illustrated by examples. Wherever possible, the book includes references to more specialised texts containing both proofs and more advanced material related to the topics covered.
Contents:
- Basics of Probability Theory
- Markov Chains
- Markov Decision
Processes
- The Exponential Distribution and Poisson Process
- Jump Markov Processes
- Elements of Queueing Theory
- Elements of Renewal Theory
- Elements of Time Series
- Elements of Simulation
Readership: Upper level undergraduates, graduate students, lecturers and
researchers in probability theory and stochastic processes.
The author is a well-known probabilist and now he is showing that he is also an excellent writer of a book for university students
in this book we find carefully selected topics from the area of stochastic modelling all presented in a master way.
This is a very well-written brief introduction to stochastic modeling and related topics. This is a text that every professional in the field might want to consider adding to his bookshelf. For those instructors who like the choice of topics covered, it is also a nice candidate for a very advanced undergraduate or beginning graduate course in stochastic processes for students in various fields who have very good mathematical backgrounds and previous courses in probability theory.
| The American Statistician |
A fine pedagogical touch and a good sense of proportion make the text extremely well balanced. A very intelligent book indeed.
| Acta Scientiarum Mathematicarum |
| 356pp |
Pub. date: Mar 2003 |
Request for inspection copy
|
|
