000 03285nam a2200265 4500
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020 _a9783031705830
082 _a519.55
_bSHU
100 _aShumway, Robert H.
_924863
245 _aTime series analysis and its applications:
_bwith R examples
250 _a5th
260 _aCham
_bSpringer
_c2025
300 _axvii, 599 p.
365 _aEUR
_b139.99
490 _aSpringer Texts in Statistics (STS)
500 _aTable of contents: Front Matter Pages I-XVII Download chapter PDF Characteristics of Time Series Robert H. Shumway, David S. Stoffer Pages 1-48 Time Series Regression and Exploratory Data Analysis Robert H. Shumway, David S. Stoffer Pages 49-83 ARIMA Models Robert H. Shumway, David S. Stoffer Pages 85-175 Spectral Analysis and Filtering Robert H. Shumway, David S. Stoffer Pages 177-265 Additional Time Domain Topics Robert H. Shumway, David S. Stoffer Pages 267-309 State-Space Models Robert H. Shumway, David S. Stoffer Pages 311-415 Statistical Methods in the Frequency Domain Robert H. Shumway, David S. Stoffer Pages 417-502 [https://link.springer.com/book/10.1007/978-3-031-70584-7]
520 _aThis 5th edition of this popular graduate textbook presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. It includes numerous examples using nontrivial data illustrate solutions to problems such as discovering natural and anthropogenic climate change, evaluating pain perception experiments using functional magnetic resonance imaging, and monitoring a nuclear test ban treaty. The R package ‘astsa’ has had major updates and the text will reflect those updates. In general, the graphics have been improved. New topics include random number generation, modeling and fitting predator-prey interactions, more emphasis on structural models, testing for linearity, discussion of EM algorithm is more extensive, Bayesian analysis of state space models and MCMC is more extensive (including new scripts in astsa), particle methods are introduced, stochastic volatility coverage is expanded, changepoint detection is introduced (new topic). The book is designed as a textbook for graduate level students in the physical, biological, and social sciences and as a graduate level text in statistics. Some parts may also serve as an undergraduate introductory course. Theory and methodology are separated to allow presentations on different levels. In addition to coverage of classical methods of time series regression, ARIMA models, spectral analysis and state-space models, the text includes modern developments including categorical time series analysis, multivariate spectral methods, long memory series, nonlinear models, resampling techniques, GARCH models, ARMAX models, stochastic volatility, and Markov chain Monte Carlo integration methods. This edition includes R code for each numerical example (https://link.springer.com/book/10.1007/978-3-031-70584-7)
650 _aApplied mathematics
_915527
650 _aProbability
650 _aMathematical statistics
650 _aR (Statistical computing)
_925382
700 _aStoffer, David S.
_925379
942 _cBK
_2ddc
999 _c10278
_d10278