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Seasonal Unit Root Tests A Comparison
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Book Synopsis Seasonal Unit Root Tests: A Comparison by :
Download or read book Seasonal Unit Root Tests: A Comparison written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Three major regression-based seasonal unit root tests: the DHF test introduced by Dickey et al (1984), the HEGY test proposed by Hylleberg et al. (1990) and the Kunst test introduced by Kunst (1997) are compared. The regression model for the DHF test is a reduced form of that for the Kunst test. We modify the Kunst test by using the t-statistic instead of Kunst's proposed joint F-statistic to study the influence of additional variables in the Kunst model. Also, we modify the HEGY test to test the presence of all four quarterly unit roots against the presence of roots 1 and -1. Through the comparison between the DHF test and the modified HEGY test, we find that the DHF test does not have asymptotic power one when the series only have some of the seasonal unit roots but not all of them. We call this case of partial unit roots. The asymptotic distributions derived in the paper provide the explanation of this limitation for the DHF test. Using simulation, we find that the probability that the DHF test will lead researchers to accept the seasonal unit root null hypothesis increases when the series contains more partial unit roots. For the DHF test, the test power depends on the augmented model. We derive limits of the related estimates from two augmented models for the DHF test. Both estimates are inconsistent. The test statistic obtained from the augmented model suggested by Ghysels et al. (1992) has relatively low power. For the HEGY/Kunst test, most limiting distributions for the test statistics depend on the lag augmentation but the test statistics have few problems caused by inconsistent estimates. However, the augmented models for the HEGY/Kunst test have more variables than those for the DHF test. Based on our simulation study results, the inclusion of more variables results in more loss in power when a redundant variable is included, and more sensitivity to the size distortion when the augmented lag length is less than the true lag length.
Book Synopsis Seasonal Unit Root Tests by : Qianyi Zhang
Download or read book Seasonal Unit Root Tests written by Qianyi Zhang and published by . This book was released on 2007 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keywords: Power, Seasonal Unit Roots.
Book Synopsis Seasonal Unit Root Tests Under Structural Breaks by : Uwe Hassler
Download or read book Seasonal Unit Root Tests Under Structural Breaks written by Uwe Hassler and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, several seasonal unit root tests are analysed in the context of structural breaks at known time and a new break corrected test is suggested. We show that the widely used HEGY test, as well as an LM variant thereof, are asymptotically robust to seasonal mean shifts of finite magnitude. In finite samples, however, experiments reveal that such tests suffer from severe size distortions and power reductions when breaks are present. Hence, a new break corrected LM test is proposed to overcome this problem. Importantly, the correction for seasonal mean shifts bears no consequence on the limiting distributions, thereby maintaining the legitimacy of canonical critical values. Moreover, although this test assumes a breakpoint a priori, it is robust in terms of misspecification of the time of the break. This asymptotic property is well reproduced in finite samples. Based on a Monte-Carlo study, our new test is compared with other procedures suggested in the literature and shown to hold superior finite sample properties.
Book Synopsis Unit Root Tests in Time Series Volume 1 by : K. Patterson
Download or read book Unit Root Tests in Time Series Volume 1 written by K. Patterson and published by Springer. This book was released on 2011-02-25 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Forecasting: principles and practice by : Rob J Hyndman
Download or read book Forecasting: principles and practice written by Rob J Hyndman and published by OTexts. This book was released on 2018-05-08 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forecasting is required in many situations. Stocking an inventory may require forecasts of demand months in advance. Telecommunication routing requires traffic forecasts a few minutes ahead. Whatever the circumstances or time horizons involved, forecasting is an important aid in effective and efficient planning. This textbook provides a comprehensive introduction to forecasting methods and presents enough information about each method for readers to use them sensibly.
Book Synopsis Seasonal Unit Root Tests Based on Forward and Reverse Estimation by : Stephen J. Leybourne
Download or read book Seasonal Unit Root Tests Based on Forward and Reverse Estimation written by Stephen J. Leybourne and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we suggest a new set of regression-based statistics for testing the seasonal unit root null hypothesis. These tests are based on combining conventional Hylleberg et al. (1990)-type seasonal unit root test statistics calculated from both forward and reverse estimation of the auxiliary regression equation. We derive the asymptotic distributions of the new test statistics under the seasonal unit root null hypothesis. We provide finite sample critical values appropriate for the case of quarterly data together with asymptotic critical values, the latter appropriate for any seasonal aspect. Monte Carlo simulation of the finite-sample size and power properties of the new tests reveals that, overall, they perform rather better than extant tests of the seasonal unit root hypothesis.
Book Synopsis Almost All About Unit Roots by : In Choi
Download or read book Almost All About Unit Roots written by In Choi and published by Cambridge University Press. This book was released on 2015-05-12 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many economic theories depend on the presence or absence of a unit root for their validity, making familiarity with unit roots extremely important to econometric and statistical theory. This book introduces the literature on unit roots in a comprehensive manner to empirical and theoretical researchers in economics and other areas.
Book Synopsis Unit Roots, Cointegration, and Structural Change by : G. S. Maddala
Download or read book Unit Roots, Cointegration, and Structural Change written by G. S. Maddala and published by Cambridge University Press. This book was released on 1998 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review of unit roots, cointegration and structural change from a best-selling author.
Book Synopsis Testing for Unit Roots in Seasonal Time Series with Long Period by :
Download or read book Testing for Unit Roots in Seasonal Time Series with Long Period written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Testing for seasonal unit roots has been discussed extensively in the literature. However, the test will be difficult if the time series has a long period, where the critical values for the test statistics are not available. We modify the seasonal unit roots test of Dickey, Hasza, and Fuller (1984) to investigate results for less typical, long period cases, and present some asymptotic normality properties. We also suggest an empirical adjustment to improve the normal approximation when the seasonal period is not sufficiently long. The basic idea is to use a double-index form for the seasonal time series with a long period, where d denotes the large lag number, so that the d "channels" will be independent for each i. By applying the Classical Central Limit Theorem for iid random variables, we can obtain the asymptotic result. The convergence is proved to be order independent with respect to m and d. An advantage of this technique is that one can make the adjustment and use a standard normal as a reference distribution instead of looking into the seasonal percentile tables when doing the seasonal unit roots test, no matter what kind of deterministic terms are included in the model as long as the number of the regressors is fixed. We also show that for an AR(p) model we still obtain the asymptotic normality of the unit root statistics.
Book Synopsis Analysis of Integrated and Cointegrated Time Series with R by : Bernhard Pfaff
Download or read book Analysis of Integrated and Cointegrated Time Series with R written by Bernhard Pfaff and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for self study. The reader can apply the theoretical concepts directly within R by following the examples.
Book Synopsis Critical Values for Unit Root Tests in Seasonal Time Series by : Philip Hans Franses
Download or read book Critical Values for Unit Root Tests in Seasonal Time Series written by Philip Hans Franses and published by . This book was released on 1994 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seasonal Unit Root Tests with Seasonal Mean Shifts by :
Download or read book Seasonal Unit Root Tests with Seasonal Mean Shifts written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bootstrapping Seasonal Unit Root Tests by : P. Burridge
Download or read book Bootstrapping Seasonal Unit Root Tests written by P. Burridge and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sample Size, Lag Order and Critical Values of Seasonal Unit Root Tests by :
Download or read book Sample Size, Lag Order and Critical Values of Seasonal Unit Root Tests written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Unit root tests: Common pitfalls and best practices by : Traoré, Fousseini
Download or read book Unit root tests: Common pitfalls and best practices written by Traoré, Fousseini and published by Intl Food Policy Res Inst. This book was released on 2021-12-31 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the seminal paper by Granger and Newbold (1974) on spurious regressions, applied econometricians have become aware of the consequences of unit roots in empirical analysis with time series data. Yet one can still find many published papers with unit root tests implemented in an inappropriate way. The objective of this Technical Note is to highlight the common pitfalls and best practices when testing for unit roots. In addition to the theoretical discussion, we provide examples using price data from Kenya, Mali, Togo, and South Africa to illustrate the procedures we think are worth following.
Book Synopsis The Asymptotic and Finite Sample Behaviour of Seasonal Unit Root Tests Under the Presence of a Break in the Deterministic Seasonal Pattern by : Artur C.B da Silva Lopes
Download or read book The Asymptotic and Finite Sample Behaviour of Seasonal Unit Root Tests Under the Presence of a Break in the Deterministic Seasonal Pattern written by Artur C.B da Silva Lopes and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the asymptotic behaviour of the HEGY tests for quarterly data, for nonseasonal and seasonal autoregressive unit roots, when the time series being analysed is trend and deterministic seasonal stationary but exhibits a change in the seasonal pattern. Our results show that, asymptotically, the HEGY test statistics are not biased towards the acceptance of the seasonal and nonseasonal unit root hypotheses. Just under some combinations of the parameters the rejection of the false null hypothesses may require a larger sample size. Therefore, our results are also useful to understand and to predict the finite sample power properties of the tests statistics under several circumstances.
Book Synopsis Asymptotic Theory for Econometricians by : Halbert White
Download or read book Asymptotic Theory for Econometricians written by Halbert White and published by Academic Press. This book was released on 2014-06-28 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide a somewhat more comprehensive and unified treatment of large sample theory than has been available previously and to relate the fundamental tools of asymptotic theory directly to many of the estimators of interest to econometricians. In addition, because economic data are generated in a variety of different contexts (time series, cross sections, time series--cross sections), we pay particular attention to the similarities and differences in the techniques appropriate to each of these contexts.
