Small‐b and fixed‐b asymptotics for weighted covariance estimation in fractional cointegration
Fecha
2015Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
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10.1111/jtsa.12113
Resumen
In a standard cointegrating framework, Phillips (1991) introduced the weighted covariance (WC) estimator of cointegrating parameters. Later, Marinucci (2000) applied this estimator to fractional circumstances and, like Phillips (1991), analysed the so-called small-b asymptotic approximation to its sampling distribution. Recently, an alternative limiting theory (fixed-b asymptotics) has been succes ...
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In a standard cointegrating framework, Phillips (1991) introduced the weighted covariance (WC) estimator of cointegrating parameters. Later, Marinucci (2000) applied this estimator to fractional circumstances and, like Phillips (1991), analysed the so-called small-b asymptotic approximation to its sampling distribution. Recently, an alternative limiting theory (fixed-b asymptotics) has been successfully employed to approximate sampling distributions. With the purpose of comparing both approaches, we derive here the fixed-b limit of WC estimators in a fractional setting, filling also some gaps in the traditional (small-b) theory. We also provide some Monte Carlo evidence that suggests that the fixed-b limit is more accurate. [--]
Materias
Fractional cointegration,
First-stage methods,
Small-b and fixed-b asymptotic theory
Editor
Wiley
Publicado en
Journal of Time Series Analysis, 2015, 36, 528-540
Departamento
Universidad Pública de Navarra. Departamento de Economía /
Nafarroako Unibertsitate Publikoa. Ekonomia Saila
Versión del editor
Entidades Financiadoras
Javier Hualde’s research is supported by the Spanish Ministerio de Ciencia e Innovación through ECO2011-24304.