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Titlebook: Bayesian Inference of State Space Models; Kalman Filtering and Kostas Triantafyllopoulos Textbook 2021 The Editor(s) (if applicable) and Th

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发表于 2025-3-21 16:40:17 | 显示全部楼层 |阅读模式
期刊全称Bayesian Inference of State Space Models
期刊简称Kalman Filtering and
影响因子2023Kostas Triantafyllopoulos
视频video
发行地址Provides a comprehensive account of linear and non-linear state space modelling, including R.Discusses in detail the applications to financial time series, dynamic systems, and control.Reviews simulat
学科分类Springer Texts in Statistics
图书封面Titlebook: Bayesian Inference of State Space Models; Kalman Filtering and Kostas Triantafyllopoulos Textbook 2021 The Editor(s) (if applicable) and Th
影响因子.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, in
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History, Concepts, and Prospects,ion state space models. The chapter sets the stage for the book and provides a chapter-by-chapter description of the book. The chapter includes a brief historical overview of the developments that led to the discovery of the Kalman filter and the research directions in the wider field of state space modelling.
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History, Concepts, and Prospects,g Bayesian conjugate methods, EM algorithm and Markov chain Monte Carlo methods. In particular, the forward filtering backward sampling is discussed in detail. A data set consisting of daily values of several pollutants is used to illustrate estimation and forecasting.
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Matrix Algebra, Probability and Statistics,stributions are briefly discussed. In a similar fashion we set the statistics background, with a focus on Bayesian inference. Some statistical topics such as Markov chain Monte Carlo and particle filters are introduced in later chapters.
发表于 2025-3-23 08:24:50 | 显示全部楼层
The Kalman Filter, fixed-interval smoothing and covariance smoothing is discussed in some detail. The chapter concludes by considering the steady state of the Kalman filter, motivated by considering the random walk plus noise model.
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