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Bayesian Inference of State Space Models - Kalman Filtering and Beyond (Hardcover, 1st ed. 2021)
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Bayesian Inference of State Space Models - Kalman Filtering and Beyond (Hardcover, 1st ed. 2021)
Series: Springer Texts in Statistics
Expected to ship within 10 - 15 working days
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Bayesian Inference of State Space Models: Kalman Filtering and
Beyond offers a comprehensive introduction to Bayesian estimation
and forecasting for state space models. The celebrated Kalman
filter, with its numerous extensions, takes centre stage in the
book. Univariate and multivariate models, linear Gaussian,
non-linear and non-Gaussian models are discussed with applications
to signal processing, environmetrics, economics and systems
engineering. Over the past years there has been a growing
literature on Bayesian inference of state space models, focusing on
multivariate models as well as on non-linear and non-Gaussian
models. The availability of time series data in many fields of
science and industry on the one hand, and the development of
low-cost computational capabilities on the other, have resulted in
a wealth of statistical methods aimed at parameter estimation and
forecasting. This book brings together many of these methods,
presenting an accessible and comprehensive introduction to state
space models. A number of data sets from different disciplines are
used to illustrate the methods and show how they are applied in
practice. The R package BTSA, created for the book, includes many
of the algorithms and examples presented. The book is essentially
self-contained and includes a chapter summarising the prerequisites
in undergraduate linear algebra, probability and statistics. An
up-to-date and complete account of state space methods, illustrated
by real-life data sets and R code, this textbook will appeal to a
wide range of students and scientists, notably in the disciplines
of statistics, systems engineering, signal processing, data
science, finance and econometrics. With numerous exercises in each
chapter, and prerequisite knowledge conveniently recalled, it is
suitable for upper undergraduate and graduate courses.
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