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Introduction to Statistical Time Series (Wiley Series in Probability and Statistics)
 
 
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Introduction to Statistical Time Series (Wiley Series in Probability and Statistics) [Hardcover]

Wayne A. Fuller (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

0471552399 978-0471552390 December 1995 2
The subject of time series is of considerable interest, especially among researchers in econometrics, engineering, and the natural sciences. As part of the prestigious Wiley Series in Probability and Statistics, this book provides a lucid introduction to the field and, in this new Second Edition, covers the important advances of recent years, including nonstationary models, nonlinear estimation, multivariate models, state space representations, and empirical model identification. New sections have also been added on the Wold decomposition, partial autocorrelation, long memory processes, and the Kalman filter.

Major topics include:
* Moving average and autoregressive processes
* Introduction to Fourier analysis
* Spectral theory and filtering
* Large sample theory
* Estimation of the mean and autocorrelations
* Estimation of the spectrum
* Parameter estimation
* Regression, trend, and seasonality
* Unit root and explosive time series


To accommodate a wide variety of readers, review material, especially on elementary results in Fourier analysis, large sample statistics, and difference equations, has been included.

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Editorial Reviews

From the Back Cover

The subject of time series is of considerable interest, especially among researchers in econometrics, engineering, and the natural sciences. As part of the prestigious Wiley Series in Probability and Statistics, this book provides a lucid introduction to the field and, in this new Second Edition, covers the important advances of recent years, including nonstationary models, nonlinear estimation, multivariate models, state space representations, and empirical model identification. New sections have also been added on the Wold decomposition, partial autocorrelation, long memory processes, and the Kalman filter.

Major topics include:

  • Moving average and autoregressive processes
  • Introduction to Fourier analysis
  • Spectral theory and filtering
  • Large sample theory
  • Estimation of the mean and autocorrelations
  • Estimation of the spectrum
  • Parameter estimation
  • Regression, trend, and seasonality
  • Unit root and explosive time series

To accommodate a wide variety of readers, review material, especially on elementary results in Fourier analysis, large sample statistics, and difference equations, has been included.

About the Author

WAYNE A. FULLER is Distinguished Professor in the Departments of Statistics and Economics at Iowa State University. He is the author of Measurement Error Models and numerous articles in time series, survey sampling, and econometrics. A Fellow of the American Statistical Association, the Institute of Mathematical Statistics, and the Econometric Society, he received his PhD in agricultural economics from Iowa State University.

Product Details

  • Hardcover: 728 pages
  • Publisher: Wiley-Interscience; 2 edition (December 1995)
  • Language: English
  • ISBN-10: 0471552399
  • ISBN-13: 978-0471552390
  • Product Dimensions: 9.6 x 6.4 x 1.8 inches
  • Shipping Weight: 2.6 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,391,731 in Books (See Top 100 in Books)

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26 of 26 people found the following review helpful:
5.0 out of 5 stars excellent graduate text covering both time and frequency domain methods, January 23, 2008
This review is from: Introduction to Statistical Time Series (Wiley Series in Probability and Statistics) (Hardcover)
In 1981 I used this book for a graduate seminar that I taught on time series analysis at UC Santa Barbara. The course was successful because I followed the text closely. It presents the material in a rigorous and cogent manner. At the time there were a few competing books but some emphasized time domain methods and others were strictly frequency domain approaches. Fuller balances the two very well and his book is better written and organized than most of the competitors at that time (1981).
Today there are a lot more books to choose from. You can check my listmania list on time series books to get an idea. I particularly like Brockwell and Davis' book as a competitor to Fuller for a graduate level time series seminar.

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Inside This Book (learn more)
First Sentence:
The analysis of time series applies to many fields. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
summable covariance function, rectangular weight function, second order autoregressive time series, symmetric estimator, estimated generalized least squares estimator, nondeterministic time series, first order autoregressive time series, ordinary regression program, moving average and autoregressive processes, pth order autoregressive process, regression residual mean square, autoregressive moving average time series, time series satisfying, moving average constructed, simple least squares estimator, moving average unit root, squared coherency, innovation outlier, cross amplitude spectrum, qth order moving average, covariance stationary time series, squared gain, normal time series, periodogram ordinates, cumulative periodogram
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Des Moines River, United States, Monte Carlo, Time Figure, United Kingdom, Using Lemma, Estimates of Sediment Constructed, Prove Corollary, Prove Lemma
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