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Nonlinear Time Series: Theory, Methods and Applications with R Examples

Nonlinear Time Series: Theory, Methods and Applications with R Examples

Hardcover

Series: Chapman & Hall/CRC Texts in Statistical Science

Probability & Statistics

ISBN10: 1466502258
ISBN13: 9781466502253
Publisher: CRC Press
Published: Jan 6 2014
Pages: 552
Weight: 2.02
Height: 1.40 Width: 6.40 Depth: 9.30
Language: English

This text emphasizes nonlinear models for a course in time series analysis. After introducing stochastic processes, Markov chains, Poisson processes, and ARMA models, the authors cover functional autoregressive, ARCH, threshold AR, and discrete time series models as well as several complementary approaches. They discuss the main limit theorems for Markov chains, useful inequalities, statistical techniques to infer model parameters, and GLMs. Moving on to HMM models, the book examines filtering and smoothing, parametric and nonparametric inference, advanced particle filtering, and numerical methods for inference.

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Probability & Statistics