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Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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Probability, Statistics and Stochastic Processes 2e (Hardcover, 2nd Edition)
Loot Price: R3,133
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Probability, Statistics and Stochastic Processes 2e (Hardcover, 2nd Edition)
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This book provides a unique and balanced approach to probability,
statistics, and stochastic processes. Readers gain a solid
foundation in all three fields that serves as a stepping stone to
more advanced investigations into each area. The Second Edition
features new coverage of analysis of variance (ANOVA), consistency
and efficiency of estimators, asymptotic theory for maximum
likelihood estimators, empirical distribution function and the
Kolmogorov-Smirnov test, general linear models, multiple
comparisons, Markov chain Monte Carlo (MCMC), Brownian motion,
martingales, and renewal theory. Many new introductory problems and
exercises have also been added. This book combines a rigorous,
calculus-based development of theory with a more intuitive approach
that appeals to readers' sense of reason and logic, an approach
developed through the author's many years of classroom experience.
The book begins with three chapters that develop probability theory
and introduce the axioms of probability, random variables, and
joint distributions. The next two chapters introduce limit theorems
and simulation. Also included is a chapter on statistical inference
with a focus on Bayesian statistics, which is an important, though
often neglected, topic for undergraduate-level texts. Markov chains
in discrete and continuous time are also discussed within the book.
More than 400 examples are interspersed throughout to help
illustrate concepts and theory and to assist readers in developing
an intuitive sense of the subject. Readers will find many of the
examples to be both entertaining and thought provoking. This is
also true for the carefully selected problems that appear at the
end of each chapter.
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