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Markov processes are processes that have limited memory. In
particular, their dependence on the past is only through the
previous state. They are used to model the behavior of many systems
including communications systems, transportation networks, image
segmentation and analysis, biological systems and DNA sequence
analysis, random atomic motion and diffusion in physics, social
mobility, population studies, epidemiology, animal and insect
migration, queueing systems, resource management, dams, financial
engineering, actuarial science, and decision systems. Covering a
wide range of areas of application of Markov processes, this second
edition is revised to highlight the most important aspects as well
as the most recent trends and applications of Markov processes. The
author spent over 16 years in the industry before returning to
academia, and he has applied many of the principles covered in this
book in multiple research projects. Therefore, this is an
applications-oriented book that also includes enough theory to
provide a solid ground in the subject for the reader.
The long-awaited revision of "Fundamentals of Applied
Probability and Random Processes" expands on the central components
that made the first edition a classic. The title is based on the
premise that engineers use probability as a modeling tool, and that
probability can be applied to the solution of engineering problems.
Engineers and students studying probability and random processes
also need to analyze data, and thus need some knowledge of
statistics. This book is designed to provide students with a
thorough grounding in probability and stochastic processes,
demonstrate their applicability to real-world problems, and
introduce the basics of statistics. The book's clear writing style
and homework problems make it ideal for the classroom or for
self-study.
Demonstrates concepts with more than 100 illustrations, including 2
dozen new drawingsExpands readers understanding of disruptive
statistics in a new chapter (chapter 8) Provides new chapter on
Introduction to Random Processes with 14 new illustrations and
tables explaining key concepts.Includes two chapters devoted to the
two branches of statistics, namely descriptive statistics (chapter
8) and inferential (or inductive) statistics (chapter 9)."
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