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This textbook addresses postgraduate students in applied
mathematics, probability, and statistics, as well as computer
scientists, biologists, physicists and economists, who are seeking
a rigorous introduction to applied stochastic processes. Pursuing a
pedagogic approach, the content follows a path of increasing
complexity, from the simplest random sequences to the advanced
stochastic processes. Illustrations are provided from many applied
fields, together with connections to ergodic theory, information
theory, reliability and insurance. The main content is also
complemented by a wealth of examples and exercises with solutions.
This textbook addresses postgraduate students in applied
mathematics, probability, and statistics, as well as computer
scientists, biologists, physicists and economists, who are seeking
a rigorous introduction to applied stochastic processes. Pursuing a
pedagogic approach, the content follows a path of increasing
complexity, from the simplest random sequences to the advanced
stochastic processes. Illustrations are provided from many applied
fields, together with connections to ergodic theory, information
theory, reliability and insurance. The main content is also
complemented by a wealth of examples and exercises with solutions.
This textbook presents the basics of probability and statistical
estimation, with a view to applications. The didactic presentation
follows a path of increasing complexity with a constant concern for
pedagogy, from the most classical formulas of probability theory to
the asymptotics of independent random sequences and an introduction
to inferential statistics. The necessary basics on measure theory
are included to ensure the book is self-contained. Illustrations
are provided from many applied fields, including information theory
and reliability theory. Numerous examples and exercises in each
chapter, all with solutions, add to the main content of the book.
Written in an accessible yet rigorous style, the book is addressed
to advanced undergraduate students in mathematics and graduate
students in applied mathematics and statistics. It will also appeal
to students and researchers in other disciplines, including
computer science, engineering, biology, physics and economics, who
are interested in a pragmatic introduction to the probability
modeling of random phenomena.
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