Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test

We provide simulation evidence that shed light on several size and power issues in relation to lag selection of the augmented (nonlinear) KSS test. Two lag selection approaches are considered-the Modified AIC (MAIC) approach and a sequential General to Specific (GS) testing approach Either one of th...

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Main Authors: Su, Jen-je, Cheung, Adrian, Roca, Eduardo
Format: Journal Article
Published: Science Publications 2013
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/37310
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author Su, Jen-je
Cheung, Adrian
Roca, Eduardo
author_facet Su, Jen-je
Cheung, Adrian
Roca, Eduardo
author_sort Su, Jen-je
building Curtin Institutional Repository
collection Online Access
description We provide simulation evidence that shed light on several size and power issues in relation to lag selection of the augmented (nonlinear) KSS test. Two lag selection approaches are considered-the Modified AIC (MAIC) approach and a sequential General to Specific (GS) testing approach Either one of these approaches can be used to select the optimal lag based on either the augmented linear Dickey Fuller test or the augmented nonlinear KSS test, resulting in four possible selection methods, namely, MAIC, GS, NMAIC and NGS. The evidence suggests that the asymptotic critical values of the KSS test tends to result in oversizing if the (N) GS method is used and under-sizing if the (N) MAIC method is utilised. Thus, we recommend that the critical values should be generated from finite samples. We also find evidence that the (N) MAIC method has less size distortion than the (N) GS method, suggesting that the MAIC-based KSS test is preferred. Interestingly, the MAIC-based KSS test with lag selection based on the linear ADF regression is generally more powerful than the test with lag selection based on the nonlinear version.
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spelling curtin-20.500.11937-373102017-09-13T16:01:02Z Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test Su, Jen-je Cheung, Adrian Roca, Eduardo General-To-Specific - Sequential T-Test Monte Carlo Simulation Modified AIC Augmentation Lag (Nonlinear) Unit Root Test We provide simulation evidence that shed light on several size and power issues in relation to lag selection of the augmented (nonlinear) KSS test. Two lag selection approaches are considered-the Modified AIC (MAIC) approach and a sequential General to Specific (GS) testing approach Either one of these approaches can be used to select the optimal lag based on either the augmented linear Dickey Fuller test or the augmented nonlinear KSS test, resulting in four possible selection methods, namely, MAIC, GS, NMAIC and NGS. The evidence suggests that the asymptotic critical values of the KSS test tends to result in oversizing if the (N) GS method is used and under-sizing if the (N) MAIC method is utilised. Thus, we recommend that the critical values should be generated from finite samples. We also find evidence that the (N) MAIC method has less size distortion than the (N) GS method, suggesting that the MAIC-based KSS test is preferred. Interestingly, the MAIC-based KSS test with lag selection based on the linear ADF regression is generally more powerful than the test with lag selection based on the nonlinear version. 2013 Journal Article http://hdl.handle.net/20.500.11937/37310 10.3844/jmssp.2013.102.111 Science Publications fulltext
spellingShingle General-To-Specific - Sequential T-Test
Monte Carlo Simulation
Modified AIC
Augmentation Lag
(Nonlinear) Unit Root Test
Su, Jen-je
Cheung, Adrian
Roca, Eduardo
Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test
title Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test
title_full Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test
title_fullStr Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test
title_full_unstemmed Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test
title_short Lag selection of the augmented Kapetanios-Shin-Snell nonlinear unit root test
title_sort lag selection of the augmented kapetanios-shin-snell nonlinear unit root test
topic General-To-Specific - Sequential T-Test
Monte Carlo Simulation
Modified AIC
Augmentation Lag
(Nonlinear) Unit Root Test
url http://hdl.handle.net/20.500.11937/37310