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Basic data analysis for time series with R / DeWayne R. Derryberry.

By: Material type: TextTextPublication details: New Jersey : John Wiley, 2014.Description: xviii, 299 p. : illustrations ; 25 cmISBN:
  • 9781118422540 (hardback)
Subject(s): DDC classification:
  • 000SA.3 23 D438
Contents:
Part I Basic correlation structures -- 1 R Basics -- 2 Review of regression and more about R -- 3 Modeling approach taken in this book and some examples of typical serially correlated data -- 4 Some comments on assumptions 4.1 Introduction -- 5 Autocorrelation function and AR(1), AR(2) models -- 6 Moving average models MA(1) and MA(2) -- Part II Analysis of periodic data and model selection -- 7 Review of transcendental functions and complex numbers -- 8 Power spectrum and the periodogram -- 9 Smoothers, the bias-variance tradeoff, and the smoothed periodogram -- 10 A regression model for periodic data -- 11 Model selection and cross-validation -- 12 Fitting fourier series -- 13 Adjusting for AR(1) correlation in complex models -- Part III Complex temporal structures -- 14 Backshift operator, the impulse response function, and general ARMA models -- 15 Yule-Walker equations and the partial autocorrelation function -- 16 Modeling philosophy and complete examples -- Part IV Some detailed and complete examples -- 17 Wolf's sunspot number data -- 18 An analysis of some prostate and breast cancer data -- 19 Christopher Tennant/Ben Crosby watershed data -- 20 Vostok ice core data -- Appendix A Using datamarket -- Appendix B AIC is PRESS! -- Appendix C A 15-minute tutorial on nonlinear optimization -- References -- Index.
Summary: This book emphasizes the collaborative analysis of data that is used to collect increments of time or space. Written at a readily accessible level, but with the necessary theory in mind, the author uses frequency- and time-domain and trigonometric regression as themes throughout the book. The content includes modern topics such as wavelets, Fourier series, and Akaike's Information Criterion (AIC), which is not typical of current-day "classics." Applications to a variety of scientific fields are showcased. Exercise sets are well crafted with the express intent of supporting pedagogy through recognition and repetition. R subroutines are employed as the software and graphics tool of choice. Brevity is a key component to the retention of the subject matter. The book presumes knowledge of linear algebra, probability, data analysis, and basic computer programming.
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Includes bibliographical references and index.

Part I Basic correlation structures --
1 R Basics --
2 Review of regression and more about R --
3 Modeling approach taken in this book and some examples of typical serially correlated data --
4 Some comments on assumptions 4.1 Introduction --
5 Autocorrelation function and AR(1), AR(2) models --
6 Moving average models MA(1) and MA(2) --
Part II Analysis of periodic data and model selection --
7 Review of transcendental functions and complex numbers --
8 Power spectrum and the periodogram --
9 Smoothers, the bias-variance tradeoff, and the smoothed periodogram --
10 A regression model for periodic data --
11 Model selection and cross-validation --
12 Fitting fourier series --
13 Adjusting for AR(1) correlation in complex models --
Part III Complex temporal structures --
14 Backshift operator, the impulse response function, and general ARMA models --
15 Yule-Walker equations and the partial autocorrelation function --
16 Modeling philosophy and complete examples --
Part IV Some detailed and complete examples --
17 Wolf's sunspot number data --
18 An analysis of some prostate and breast cancer data --
19 Christopher Tennant/Ben Crosby watershed data --
20 Vostok ice core data --
Appendix A Using datamarket --
Appendix B AIC is PRESS! --
Appendix C A 15-minute tutorial on nonlinear optimization --
References --
Index.

This book emphasizes the collaborative analysis of data that is used to collect increments of time or space. Written at a readily accessible level, but with the necessary theory in mind, the author uses frequency- and time-domain and trigonometric regression as themes throughout the book. The content includes modern topics such as wavelets, Fourier series, and Akaike's Information Criterion (AIC), which is not typical of current-day "classics." Applications to a variety of scientific fields are showcased. Exercise sets are well crafted with the express intent of supporting pedagogy through recognition and repetition. R subroutines are employed as the software and graphics tool of choice. Brevity is a key component to the retention of the subject matter. The book presumes knowledge of linear algebra, probability, data analysis, and basic computer programming.

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