Cover of: Introduction to the theory of coverage processes | Peter Hall

Introduction to the theory of coverage processes

  • 408 Pages
  • 1.82 MB
  • 5995 Downloads
  • English
by
Wiley , New York
Point proce
Other titlesCoverage processes.
StatementPeter Hall.
SeriesWiley series in probability and mathematical statistics.
Classifications
LC ClassificationsQA274.42 .H35 1988
The Physical Object
Paginationxviii, 408 p. :
ID Numbers
Open LibraryOL2401651M
ISBN 100471857025
LC Control Number87031876

Coverage processes are finding increasing application in such diverse areas as queueing theory, ballistics, and physical chemistry. Drawing on methodology from several areas of probability theory and mathematics, this monograph provides a succinct and rigorous development of the mathematical theory of models for random coverage patterns and introduces the concepts and tools underlying their.

Introduction To The Theory Of Coverage Processes Introduction To The Theory Of Coverage Processes by P. Hall. Download in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. Introduction To The Theory Of Coverage Processes books.

Click Download for free ebooks. Introduction To The Theory Of Coverage Processes. Download Citation | Introduction to the Theory of Coverage Processes | Examples, concepts and tools random line segments, queues and counters vacancy counting and clumping elements of inference.

Coverage processes are finding increasing application in such diverse areas as queueing theory, ballistics, and physical : Peter Hall. The book begins by introducing basic concepts of probability theory, such as the random variable, conditional probability, and conditional expectation.

This is followed by discussions of stochastic processes, including Markov chains and Poison processes.

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The remaining chapters cover queuing, reliability theory, Brownian motion, and simulation. This trusted book introduces the reader to elementary probability modelling and stochastic processes and shows how probability theory can be applied in fields such as engineering, computer science, management science, the physical and social sciences and operations research.

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INTRODUCTION TO INFORMATION THEORY {ch:intro_info} This chapter introduces some of the basic concepts of information theory, as well as the definitions and notations of probabilities that will be used throughout the book.

The notion of entropy, which is fundamental to the whole topic of this book. Information Theory was not just a product of the work of Claude Shannon. It was the result of crucial contributions made by many distinct individuals, from a variety of backgrounds, who took his ideas and expanded upon them.

Indeed the diversity and directions of their perspectives and interests shaped the direction of Information Theory. Chapter 6 provides a brief introduction to the theory of Markov chains and pro-cesses, a vast subject at the core of probability theory, to which many text books are devoted.

Description Introduction to the theory of coverage processes PDF

We illustrate some of the interesting mathematical properties of such processes by examining the special case of the Poisson process, and more generally.

Chapter 8 sets the framework for studying right-continuous stochastic processes indexed by a continuous time parameter, introduces the family of Gaussian pro- cesses and rigorously constructs the Brownian motion as a Gaussian process of continuous sample path and zero-mean, stationary independent increments.

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Upper-level undergraduate students in mathematics, statistics, and engineering may also use the book in an introductory course on queueing theory. With its rigorous coverage of basic material and extensive bibliography of the queueing literature, the work may also be useful to applied scientists and practitioners as a self-study reference for.

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