2014
DOI: 10.1007/s10260-014-0289-0
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Wild bootstrap tests for unit root in ESTAR models

Abstract: This paper introduces wild bootstrap tests for unit root in exponential smooth transition autoregressive (ESTAR) models. Asymptotic unit root tests in ESTAR models have severe size distortions in the presence of heteroskedastic variances such as generalized autoregressive conditional heteroskedasticity and stochastic volatility, and hence, to improve these distortions, we use a wild bootstrap. Monte Carlo simulations show that in asymptotic tests, severe over-rejection of the null hypothesis occurs under heter… Show more

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Cited by 3 publications
(3 citation statements)
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“…We also estimate a unit root test in Exponential Smooth Transition Autoregressive (ESTAR) models proposed by Maki (2015) to account for nonlinearities in the data. Maki's (2015) unit root test (t) performs well in the presence of heteroskedastic variances, stochastic volatility by estimating p-value of the test through wild bootstrapping. The test tests the null hypothesis of unit root against the alternative of stationarity.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…We also estimate a unit root test in Exponential Smooth Transition Autoregressive (ESTAR) models proposed by Maki (2015) to account for nonlinearities in the data. Maki's (2015) unit root test (t) performs well in the presence of heteroskedastic variances, stochastic volatility by estimating p-value of the test through wild bootstrapping. The test tests the null hypothesis of unit root against the alternative of stationarity.…”
Section: Methodsmentioning
confidence: 99%
“…Overall, standard unit root tests provide mixed results for the stationarity of the price indices. Table 3 reports the results of the Maki (2015) unit root test which account for nonlinearities stemming from market frictions, noise traders, transaction costs, and so forth. The results suggest that all price indices except BIST-SRV have unit root in their level since their bootstrapped p-values are estimated higher than conventional statistical significance levels.…”
Section: Data and Empirical Findingsmentioning
confidence: 99%
“…An alternative to the EW approach used in (8) which is also widely employed in the literature to deal with, among other things, (unconditional and conditional) heteroskedasticity of unknown form is the Wild bootstrap (see, for instance, Killian and Gonçalves, 2004, Cavaliere and Taylor 2008, Pavlidis et al 2010and Maki 2015. It consists of using the residualsε t computed from (6) and generating a new unit root process aŝ…”
Section: Unconditional and Conditional Heteroskedasticitymentioning
confidence: 99%