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An Introduction to Sequential Monte Carlo (Hardcover, 1st ed. 2020)
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An Introduction to Sequential Monte Carlo (Hardcover, 1st ed. 2020)
Series: Springer Series in Statistics
Expected to ship within 12 - 17 working days
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This book provides a general introduction to Sequential Monte Carlo
(SMC) methods, also known as particle filters. These methods have
become a staple for the sequential analysis of data in such diverse
fields as signal processing, epidemiology, machine learning,
population ecology, quantitative finance, and robotics. The
coverage is comprehensive, ranging from the underlying theory to
computational implementation, methodology, and diverse applications
in various areas of science. This is achieved by describing SMC
algorithms as particular cases of a general framework, which
involves concepts such as Feynman-Kac distributions, and tools such
as importance sampling and resampling. This general framework is
used consistently throughout the book. Extensive coverage is
provided on sequential learning (filtering, smoothing) of
state-space (hidden Markov) models, as this remains an important
application of SMC methods. More recent applications, such as
parameter estimation of these models (through e.g. particle Markov
chain Monte Carlo techniques) and the simulation of challenging
probability distributions (in e.g. Bayesian inference or rare-event
problems), are also discussed. The book may be used either as a
graduate text on Sequential Monte Carlo methods and state-space
modeling, or as a general reference work on the area. Each chapter
includes a set of exercises for self-study, a comprehensive
bibliography, and a "Python corner," which discusses the practical
implementation of the methods covered. In addition, the book comes
with an open source Python library, which implements all the
algorithms described in the book, and contains all the programs
that were used to perform the numerical experiments.
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