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Elements Of Stochastic Modelling (2nd Edition)

2014-06-30 Mathematics
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Release : 2014-06-30
Genre : Mathematics
Kind : eBook
Book Rating : 180/5 ( reviews)

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Book Synopsis Elements Of Stochastic Modelling (2nd Edition) by : Konstantin Borovkov

Download or read book Elements Of Stochastic Modelling (2nd Edition) written by Konstantin Borovkov. This book was released on 2014-06-30. Available in PDF, EPUB and Kindle. Book excerpt: This is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It reviewed the basics of probability theory and then covered the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation.The present edition adds new chapters on elements of stochastic calculus and introductory mathematical finance that logically complement the topics chosen for the first edition. This makes the book suitable for a larger variety of university courses presenting the fundamentals of modern stochastic modelling. Instead of rigorous proofs we often give only sketches of the arguments, with indications as to why a particular result holds and also how it is related to other results, and illustrate them by examples. Wherever possible, the book includes references to more specialised texts on respective topics that contain both proofs and more advanced material.

Elements of Stochastic Modelling

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 013/5 ( reviews)

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Book Synopsis Elements of Stochastic Modelling by : K. A. Borovkov

Download or read book Elements of Stochastic Modelling written by K. A. Borovkov. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Stochastic Modeling

2014-05-10 Mathematics
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Release : 2014-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 272/5 ( reviews)

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Book Synopsis An Introduction to Stochastic Modeling by : Howard M. Taylor

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor. This book was released on 2014-05-10. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Elements Of Stochastic Modelling (Third Edition)

2024-02-08 Mathematics
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Release : 2024-02-08
Genre : Mathematics
Kind : eBook
Book Rating : 401/5 ( reviews)

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Book Synopsis Elements Of Stochastic Modelling (Third Edition) by : Konstantin Borovkov

Download or read book Elements Of Stochastic Modelling (Third Edition) written by Konstantin Borovkov. This book was released on 2024-02-08. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly revised and expanded third edition of a successful university textbook that provides a broad introduction to key areas of stochastic modelling. The previous edition was developed from lecture notes for two one-semester courses for third-year science and actuarial students at the University of Melbourne.This book reviews the basics of probability theory and presents topics on Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation. It also features elements of stochastic calculus and introductory mathematical finance. This makes the book suitable for a larger variety of university courses presenting the fundamentals of modern stochastic modelling.To make the text covering a lot of material more appealing and accessible to the reader, instead of rigorous proofs we often give only sketches of the arguments, with indications as to why a particular result holds and also how it is related to other results, and illustrate them by examples. It is in this aspect that the present, third edition differs from the second one: the included background material and argument sketches have been extended, made more graphical and informative. The whole text was reviewed and streamlined wherever possible to make the book more attractive and useful for readers. Where appropriate, the book includes references to more specialised texts on respective topics that contain both complete proofs and more advanced material.

The Elements of Stochastic Processes with Applications to the Natural Sciences

1991-01-16 Mathematics
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Release : 1991-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 680/5 ( reviews)

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Book Synopsis The Elements of Stochastic Processes with Applications to the Natural Sciences by : Norman T. J. Bailey

Download or read book The Elements of Stochastic Processes with Applications to the Natural Sciences written by Norman T. J. Bailey. This book was released on 1991-01-16. Available in PDF, EPUB and Kindle. Book excerpt: Develops an introductory and relatively simple account of the theory and application of the evolutionary type of stochastic process. Professor Bailey adopts the heuristic approach of applied mathematics and develops both theoretical principles and applied techniques simultaneously.

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