Estimating Deterministic Trends with an Integrated Or Stationary Noise Component

Estimating Deterministic Trends with an Integrated Or Stationary Noise Component

Author: Pierre Perron

Publisher:

Published: 2006

Total Pages: 42

ISBN-13:

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A test is proposed for the slope of a trend function when it is a priori unknown whether the series is trend-stationary or contains an autoregressive unit root. Let [alpha] be the sum of the autoregressive coefficients in the autoregressive representation of the series. The procedure is based on a Feasible Quasi Generalized Least Squares method from an AR(1) specification with parameter [alpha]. The estimate of [alpha] is the OLS estimate obtained from an autoregression applied to detrended data and is truncated to take a value 1 whenever the estimate is in a T [to the power of negative delta] neighborhood of 1. This makes the estimate "super-efficient" when [alpha]=1 and implies that inference on the slope parameter can be performed using the standard Normal distribution whether [alpha]=1 or [absolute alpha is less than] 1. Theoretical arguments and simulation evidence show that d=1/2 is the appropriate choice. Simulations show that this procedure has good size properties and greater power than the tests proposed by Vogelsang (1998). Applications to inference about the growth rates of GNP for many countries show the usefulness of the method.--Authors' abstract.


Essays in Honor of Peter C. B. Phillips

Essays in Honor of Peter C. B. Phillips

Author: Thomas B. Fomby

Publisher: Emerald Group Publishing

Published: 2014-11-21

Total Pages: 772

ISBN-13: 1784411825

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This volume honors Professor Peter C.B. Phillips' many contributions to the field of econometrics. The topics include non-stationary time series, panel models, financial econometrics, predictive tests, IV estimation and inference, difference-in-difference regressions, stochastic dominance techniques, and information matrix testing.


Handbook of Economic Forecasting

Handbook of Economic Forecasting

Author: G. Elliott

Publisher: Elsevier

Published: 2006-05-30

Total Pages: 1071

ISBN-13: 0080460674

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Research on forecasting methods has made important progress over recent years and these developments are brought together in the Handbook of Economic Forecasting. The handbook covers developments in how forecasts are constructed based on multivariate time-series models, dynamic factor models, nonlinear models and combination methods. The handbook also includes chapters on forecast evaluation, including evaluation of point forecasts and probability forecasts and contains chapters on survey forecasts and volatility forecasts. Areas of applications of forecasts covered in the handbook include economics, finance and marketing.*Addresses economic forecasting methodology, forecasting models, forecasting with different data structures, and the applications of forecasting methods *Insights within this volume can be applied to economics, finance and marketing disciplines


Spatial Econometrics

Spatial Econometrics

Author: Giuseppe Arbia

Publisher: Springer Science & Business Media

Published: 2008-11-14

Total Pages: 283

ISBN-13: 3790820709

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Spatial Econometrics is a rapidly evolving field born from the joint efforts of economists, statisticians, econometricians and regional scientists. The book provides the reader with a broad view of the topic by including both methodological and application papers. Indeed the application papers relate to a number of diverse scientific fields ranging from hedonic models of house pricing to demography, from health care to regional economics, from the analysis of R&D spillovers to the study of retail market spatial characteristics. Particular emphasis is given to regional economic applications of spatial econometrics methods with a number of contributions specifically focused on the spatial concentration of economic activities and agglomeration, regional paths of economic growth, regional convergence of income and productivity and the evolution of regional employment. Most of the papers appearing in this book were solicited from the International Workshop on Spatial Econometrics and Statistics held in Rome (Italy) in 2006.


Unit Root Tests in Time Series Volume 1

Unit Root Tests in Time Series Volume 1

Author: K. Patterson

Publisher: Springer

Published: 2011-02-25

Total Pages: 676

ISBN-13: 023029930X

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Testing for a unit root is now an essential part of time series analysis. This volume provides a critical overview and assessment of tests for a unit root in time series, developing the concepts necessary to understand the key theoretical and practical models in unit root testing.


High-dimensional Econometrics And Identification

High-dimensional Econometrics And Identification

Author: Chihwa Kao

Publisher: World Scientific

Published: 2019-04-05

Total Pages: 179

ISBN-13: 9811200173

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In many applications of econometrics and economics, a large proportion of the questions of interest are identification. An economist may be interested in uncovering the true signal when the data could be very noisy, such as time-series spurious regression and weak instruments problems, to name a few. In this book, High-Dimensional Econometrics and Identification, we illustrate the true signal and, hence, identification can be recovered even with noisy data in high-dimensional data, e.g., large panels. High-dimensional data in econometrics is the rule rather than the exception. One of the tools to analyze large, high-dimensional data is the panel data model.High-Dimensional Econometrics and Identification grew out of research work on the identification and high-dimensional econometrics that we have collaborated on over the years, and it aims to provide an up-todate presentation of the issues of identification and high-dimensional econometrics, as well as insights into the use of these results in empirical studies. This book is designed for high-level graduate courses in econometrics and statistics, as well as used as a reference for researchers.


Modelling Trends and Cycles in Economic Time Series

Modelling Trends and Cycles in Economic Time Series

Author: Terence C. Mills

Publisher: Springer Nature

Published: 2021-07-29

Total Pages: 219

ISBN-13: 3030763595

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Modelling trends and cycles in economic time series has a long history, with the use of linear trends and moving averages forming the basic tool kit of economists until the 1970s. Several developments in econometrics then led to an overhaul of the techniques used to extract trends and cycles from time series. In this second edition, Terence Mills expands on the research in the area of trends and cycles over the last (almost) two decades, to highlight to students and researchers the variety of techniques and the considerations that underpin their choice for modelling trends and cycles.


Applied Time Series Analysis with R

Applied Time Series Analysis with R

Author: Wayne A. Woodward

Publisher: CRC Press

Published: 2017-02-17

Total Pages: 635

ISBN-13: 1498734278

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Virtually any random process developing chronologically can be viewed as a time series. In economics closing prices of stocks, the cost of money, the jobless rate, and retail sales are just a few examples of many. Developed from course notes and extensively classroom-tested, Applied Time Series Analysis with R, Second Edition includes examples across a variety of fields, develops theory, and provides an R-based software package to aid in addressing time series problems in a broad spectrum of fields. The material is organized in an optimal format for graduate students in statistics as well as in the natural and social sciences to learn to use and understand the tools of applied time series analysis. Features Gives readers the ability to actually solve significant real-world problems Addresses many types of nonstationary time series and cutting-edge methodologies Promotes understanding of the data and associated models rather than viewing it as the output of a "black box" Provides the R package tswge available on CRAN which contains functions and over 100 real and simulated data sets to accompany the book. Extensive help regarding the use of tswge functions is provided in appendices and on an associated website. Over 150 exercises and extensive support for instructors The second edition includes additional real-data examples, uses R-based code that helps students easily analyze data, generate realizations from models, and explore the associated characteristics. It also adds discussion of new advances in the analysis of long memory data and data with time-varying frequencies (TVF).


Athens Conference on Applied Probability and Time Series Analysis

Athens Conference on Applied Probability and Time Series Analysis

Author: P.M. Robinson

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 443

ISBN-13: 1461224128

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The Athens Conference on Applied Probability and Time Series in 1995 brought together researchers from across the world. The published papers appear in two volumes. Volume II presents papers on time series analysis, many of which were contributed to a meeting in March 1995 partly in honour of E.J. Hannan. The initial paper by P.M. Robinson discusses Ted Hannan's researches and their influence on current work in time series analysis. Other papers discuss methods for finite parameter Gaussian models, time series with infinite variance or stable marginal distribution, frequency domain methods, long range dependent processes, nonstationary processes, and nonlinear time series. The methods presented can be applied in a number of fields such as statistics, applied mathematics, engineering, economics and ecology. The papers include many of the topics of current interest in time series analysis and will be of interest to a wide range of researchers.