scholarly journals Linear process bootstrap unit root test

2019 ◽  
Vol 145 ◽  
pp. 74-80
Author(s):  
Nan Zou ◽  
Dimitris N. Politis
Keyword(s):  
Unit Root ◽  
Unit Root Test ◽  
Linear Process

scholarly journals BOOTSTRAP-ASSISTED UNIT ROOT TESTING WITH PIECEWISE LOCALLY STATIONARY ERRORS

2018 ◽  
Vol 35 (1) ◽  
pp. 142-166 ◽  
Author(s):  
Yeonwoo Rho ◽  
Xiaofeng Shao
Keyword(s):  
Unit Root ◽  
Unit Root Test ◽  
Linear Process ◽  
Wild Bootstrap ◽  
Finite Sample ◽  
Unknown Parameters ◽  
Null Distributions ◽  
Inference Problems ◽  
Unit Root Testing ◽  
Finite Sample Simulations

In unit root testing, a piecewise locally stationary process is adopted to accommodate nonstationary errors that can have both smooth and abrupt changes in second- or higher-order properties. Under this framework, the limiting null distributions of the conventional unit root test statistics are derived and shown to contain a number of unknown parameters. To circumvent the difficulty of direct consistent estimation, we propose to use the dependent wild bootstrap to approximate the nonpivotal limiting null distributions and provide a rigorous theoretical justification for bootstrap consistency. The proposed method is compared through finite sample simulations with the recolored wild bootstrap procedure, which was developed for errors that follow a heteroscedastic linear process. Furthermore, a combination of autoregressive sieve recoloring with the dependent wild bootstrap is shown to perform well. The validity of the dependent wild bootstrap in a nonstationary setting is demonstrated for the first time, showing the possibility of extensions to other inference problems associated with locally stationary processes.

SADDLEPOINT AND ESTIMATED SADDLEPOINT APPROXIMATIONS FOR OPTIMAL UNIT ROOT TESTS

2011 ◽  
Vol 27 (5) ◽  
pp. 1026-1047 ◽  
Author(s):  
Patrick Marsh
Keyword(s):  
Unit Root ◽  
Unit Root Test ◽  
Covariance Structure ◽  
Tail Probability ◽  
Linear Process ◽  
Unit Root Tests ◽  
Finite Sample ◽  
Stochastic Representation ◽  
Martingale Differences ◽  
Saddlepoint Approximations

This paper provides a (saddlepoint) tail probability approximation for the distribution of an optimal unit root test. Under restrictive assumptions, Gaussianity, and known covariance structure, the order of error of the approximation is given. More generally, when innovations are a linear process in martingale differences, the estimated saddlepoint is proved to yield valid asymptotic inference. Numerical evidence, considered over a range of models, demonstrates some finite-sample superiority over approximations for a directly comparable test based on simulation of its limiting stochastic representation.

Convergence in per capita carbon footprint and ecological footprint for G7 countries: Evidence from panel Fourier threshold unit root test

2021 ◽  
pp. 0958305X2110114
Author(s):  
Veli Yilanci ◽  
Muhammed Sehid Gorus ◽  
Sakiru Adebola Solarin
Keyword(s):  
Unit Root ◽  
Structural Breaks ◽  
Structural Changes ◽  
Unit Root Test ◽  
G7 Countries ◽  
Convergence Hypothesis ◽  
International Climate ◽  
Per Capita ◽  
Nonlinear Behaviors ◽  
Nonlinear Unit Root Tests

This paper aims to explore the convergence of per capita carbon and ecological footprints in G7 countries during 1961–2016. For this purpose, we propose a new unit root test in the panel setting–the panel Fourier threshold unit root test. This test takes into consideration both multiple smooth structural changes and nonlinearity. According to the literature, the power of the nonlinear unit root tests is reduced in the case of ignoring structural breaks. Therefore, we expect to get more reliable empirical findings by utilizing this methodology. The empirical results of this paper show that these series have nonlinear behaviors for the period 1961–2016. Furthermore, they demonstrate that the absolute convergence hypothesis is valid in G7 countries for both regimes. Thus, governments can conduct common environmental policies, including international climate summits and agreements, instead of national-based policies to mitigate environmental deterioration in their countries.

A New Unit Root Test for Unemployment Hysteresis Based on the Autoregressive Neural Network*

2021 ◽  
Author(s):  
OlaOluwa S. Yaya ◽  
Ahamuefula E. Ogbonna ◽  
Fumitaka Furuoka ◽  
Luis A. Gil‐Alana
Keyword(s):  
Neural Network ◽  
Unit Root ◽  
Unit Root Test ◽  
Autoregressive Neural Network

scholarly journals Dynamic Relationship Between Real Export, Real Import, Real Exchange Rate, Labor Force and Real Gross Domestic Product in Malaysia

2019 ◽  
Vol 10 (5) ◽  
pp. 20
Author(s):  
Emilda Hashim ◽  
Norimah Rambeli ◽  
Asmawi Hashim ◽  
Norasibah Abdul Jalil ◽  
Shahrun Nizam Abdul Aziz ◽  
...  
Keyword(s):  
Exchange Rate ◽  
Labor Force ◽  
Open Economy ◽  
Unit Root ◽  
Correction Term ◽  
Unit Root Test ◽  
Real Effective Exchange Rate ◽  
Global Changes ◽  
Real Gdp ◽  
Long Run

This study examined short run and long run relationship between endogenous and exogenous variables. Specifically, it studied the relationship between real export, real import, labor force participation and real effective exchange rate (REER) and real GDP in Malaysia from 1988 to 2017. These variables were tested in various tests, namely, unit root test, granger causality test, vector autoregressive (VAR), Johansen Juselius test and Error Correction Term (ECT). The result revealed that all variables were non-stationary at the level form and stationary at first difference in ADF unit root test. The findings also exhibited the existence of bilateral relationships between real export and real GDP, real import and real GDP, as well as labor and real GDP. Nonetheless, there were no relationship found between REER and real GDP. On the other hand, in VAR, the lag optimum was lag 10 because it indicated the smallest value of AIC. Moreover, for Johansen Juselius cointegration test, it showed two cointegrated vector at both, 5% and 1%, level in trace test. In addition, Max-Eigen value test indicated two cointegrated vector at 0.05 and one cointegrated vector at 0.01. As for the Wald test, there were long run cointegration relationship between real GDP and its determinants, namely real export, real import, labor and REER. Apparently, Malaysia, as a small open economy, has relied heavily on foreign trade. Consequently, our domestic economic performance is susceptible to the changes in international markets and exchange rate. Therefore, suitable international policy implementation is vital to ensure Malaysian economy will be able to adjust to current global changes.

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