2006
DOI: 10.1111/j.1468-0084.2006.00458.x
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Threshold Effects in Cointegrating Relationships*

Abstract: In this paper we introduce threshold type nonlinearities within a single equation cointegrating regression model and propose a testing procedure for testing the null hypothesis of linear cointegration versus cointegration with threshold effects. Our framework allows the modelling of long run equilibrium relationships that may switch according to the magnitude of a threshold variable assumed to be stationary and ergodic and thus constitutes an attempt to deal econometrically with the potential presence of multi… Show more

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Cited by 88 publications
(54 citation statements)
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“…Berenguer-Rico and Gonzalo (2014b) build on earlier work by Gonzalo and Pitarakis (2006) to develop a non-linear alternative to linear integration, based on the 'order of summability.' 6 The empirical procedure to determine the order of summability analyses the rate of convergence of a rescaled sum Y * k of the variable of interest y t .…”
Section: Methodsmentioning
confidence: 99%
“…Berenguer-Rico and Gonzalo (2014b) build on earlier work by Gonzalo and Pitarakis (2006) to develop a non-linear alternative to linear integration, based on the 'order of summability.' 6 The empirical procedure to determine the order of summability analyses the rate of convergence of a rescaled sum Y * k of the variable of interest y t .…”
Section: Methodsmentioning
confidence: 99%
“…Asymptotic properties of FM-OLS estimates are determined by the joint error process of ( ) y and the serial correlation in 1t u in Equation (1). This treatment of the serial correlation in 1t u , like that in the study by de Jong [13] and Gonzalo and Pitarakis [7], a more general assumption in threshold cointegration regression. Assumption 2 provides some moment conditions imposed on { } 1t u and { } 2t u .…”
Section: Assumptions and Parameter Estimationmentioning
confidence: 99%
“…There has been an attempt in the literature to generalise this model along various directions: to incorporate heteroscedasticity into the errors (Hansen [13] and Cavaliere et al [4]) and nonlinearities into the fit (Gonzalo et al [11], Kristensen and Rabhek [21] and Saikonnen [29]). Ripatti and Saikonenn [25] and Johansen and Mosconi [17] have sought to incorporate permanent changes into the deterministic terms.…”
Section: Econometric Methodologymentioning
confidence: 99%