عنوان

Regression and time series model selection /

(Number (ISBN

9789810232429

(Number (ISBN

9789812385451

(Number (ISBN

981023242X

(Number (ISBN

9812385452

Number

b758343

Title Proper

Regression and time series model selection /

General Material Designation

[Book]

First Statement of Responsibility

Allan D.R. McQuarrie, Chih-Ling Tsai.

Place of Publication, Distribution, etc.

River Edge, N.J. :

Name of Publisher, Distributor, etc.

World Scientific,

Date of Publication, Distribution, etc.

©1998.

Specific Material Designation and Extent of Item

1 online resource (xxi, 455 pages) :

Other Physical Details

illustrations

Text of Note

Includes bibliographical references (pages 430-439) and indexes.

Text of Note

Ch. 1. Introduction. 1.1. Background. 1.2. Overview. 1.3. Layout. 1.4. Topics not covered -- ch. 2. The univariate regression model. 2.1. Model description. 2.2. Derivations of the foundation model selection criteria. 2.3. Moments of model selection criteria. 2.4. Signal-to-noise corrected variants. 2.5. Overfitting. 2.6. Small-sample underfitting. 2.7. Random X regression and Monte Carlo study. 2.8. Summary -- ch. 3. The univariate autoregressive model. 3.1. Model description. 3.2. Selected derivations of model selection criteria. 3.3. Small-sample signal-to-noise ratios. 3.4. Overfitting. 3.5. Underfitting for two special case models. 3.6. Autoregressive Monte Carlo study. 3.7. Moving average MA(1) misspecified as autoregressive models. 3.8. Multistep forecasting models. 3.9. Summary -- ch. 4. The multivariate regression model. 4.1. Model description. 4.2. Selected derivations of model selection criteria. 4.3. Moments of model selection criteria. 4.4. Signal-to-noise corrected variants. 4.5. Overfitting properties. 4.6. Underfitting. 4.7. Monte Carlo study. 4.8. Summary -- ch. 5. The vector autoregressive model. 5.1. Model description. 5.2. Selected derivations of model selection criteria. 5.3. Small-sample signal-to-noise ratios. 5.4. Overfitting. 5.5. Underfitting in two special case models. 5.6. Vector autoregressive Monte Carlo study. 5.7. Summary -- ch. 6. Cross-validation and the bootstrap. 6.1. Univariate regression cross-validation. 6.2. Univariate autoregressive cross-validation. 6.3. Multivariate regression cross-validation. 6.4. Vector autoregressive cross-validation. 6.5. Univariate regression bootstrap. 6.6. Univariate autoregressive bootstrap. 6.7. Multivariate regression bootstrap. 6.8. Vector autoregressive bootstrap. 6.9. Monte Carlo study. 6.10. Summary -- ch. 7. Robust regression and quasi-likelihood. 7.1. Nonnormal error regression models. 7.2. Least absolute deviations regression. 7.3. Robust version of Cp. 7.4. Wald test version of Cp. 7.5. FPE for robust regression. 7.6. Unification of AIC criteria. 7.7. Quasi-likelihood. 7.8. Summary -- ch. 8. Nonparametric regression and wavelets. 8.1. Model selection in nonparametric regression. 8.2. Semiparametric regression model selection. 8.3. A cross-validatory AIC for hard wavelet thresholding. 8.4. Summary -- ch. 9. Simulations and examples. 9.1. Introduction. 9.2. Univariate regression models. 9.3. Autoregressive models. 9.4. Moving average MA(1) misspecified as autoregressive models. 9.5. Multivariate regression models. 9.6. Vector autoregressive models. 9.7. Summary.

0

Text of Note

This important book describes procedures for selecting a model from a large set of competing statistical models. It includes model selection techniques for univariate and multivariate regression models, univariate and multivariate autoregressive models, nonparametric (including wavelets) and semiparametric regression models, and quasi-likelihood and robust regression models. Information-based model selection criteria are discussed, and small sample and asymptotic properties are presented. The book also provides examples and large scale simulation studies comparing the performances of information-based model selection criteria, bootstrapping, and cross-validation selection methods over a wide range of models.

Title

Regression and time series model selection.

International Standard Book Number

981023242X

Mathematical models.

Regression analysis.

Time-series analysis.

Matematisk statistik.

Mathematical models.

MATHEMATICS-- Probability & Statistics-- Regression Analysis.

Regression analysis.

Tidsserieanalys.

Time-series analysis.

MAT-- 029030

Number

Edition

Class number

Book number

McQuarrie, Allan D. R.

Tsai, Chih-Ling.

Date of Transaction

20201204182226.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y