2008
DOI: 10.1007/s00181-008-0234-x
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Panel data stochastic convergence analysis of the Mexican regions

Abstract: Abstract:The stochastic convergence amongst Mexican Federal entities is analyzed in panel data framework. The joint consideration of cross-section dependence and multiple structural breaks is required to ensure that the statistical inference is based on statistics with good statistical properties. Once these features are accounted for, evidence in favour of stochastic convergence is found. Since stochastic convergence is a necessary, yet insufficient condition for convergence as predicted by economic growth mo… Show more

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Cited by 33 publications
(23 citation statements)
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“…Tomljanovich and Vogelsang () and Cunado and Perez de Gracia () note that, for the deterministic and catching‐up hypotheses to hold, level stationarity and trend stationarity are necessary conditions, respectively. To investigate the sufficient condition for catching up, we follow the models of Tomljanovich and Vogelsang (), Cunado and Perez de Gracia (), and Carrion‐i‐Silvestre and German‐Soto () by utilising equation to further test the null of trend stationarity: R I i , t = α + β T + k = 1 m i θ i , k D U i , k , t + k = 1 m i ρ i , k D T i , k , t + ε i , t …”
Section: The Convergence Hypothesis In Real Incomementioning
confidence: 99%
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“…Tomljanovich and Vogelsang () and Cunado and Perez de Gracia () note that, for the deterministic and catching‐up hypotheses to hold, level stationarity and trend stationarity are necessary conditions, respectively. To investigate the sufficient condition for catching up, we follow the models of Tomljanovich and Vogelsang (), Cunado and Perez de Gracia (), and Carrion‐i‐Silvestre and German‐Soto () by utilising equation to further test the null of trend stationarity: R I i , t = α + β T + k = 1 m i θ i , k D U i , k , t + k = 1 m i ρ i , k D T i , k , t + ε i , t …”
Section: The Convergence Hypothesis In Real Incomementioning
confidence: 99%
“…We define the regressors as follows: D U i , k , t = { left 1 i f t > T B i , k left 0 o t h e r w i s e D T i , k , t = { left t T B i , k i f t > T B i , k left 0 o t h e r w i s e Here, TB i , k denotes the k ‐th break location for the i ‐th country, with k = {1, … , m i }, and m i ≥ 1. Because real per capita GDP in each African country was less than real per capita GDP in the USA in 1969, according to Carrion‐i‐Silvestre and German‐Soto (:318), there is evidence of a catching‐up process if the coefficients of the DU and DT parameters in each regime are significant at least at the 10% level of significance and have opposite signs, i.e. θ k < 0 and ρ k > 0, or θ k > 0 and ρ k < 0.…”
Section: The Convergence Hypothesis In Real Incomementioning
confidence: 99%
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“…Carrion-i-Silvestre and German-Soto (2009) also indicate that the neglect of the crosssectional dependence might mislead the examination to infer that the panel data is stationary, even though it is not truly.…”
mentioning
confidence: 96%