Moderate Deviation Principles for Empirical Covariance in the Neighbourhood of the Unit Root.

• Autores: Yu Miao, Yanling Wang, Guangyu Yang
• Localización: Scandinavian journal of statistics: Theory and applications, ISSN 0303-6898, Vol. 42, Nº. 1, 2015, págs. 234-255
• Idioma: inglés
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• Resumen

  • In this paper, we consider the linear autoregressive model with varying coefficients θn∈[0,1). When θn tending to the unit root, the moderate deviation principle for empirical covariance is discussed, and as statistical applications, we provide the moderate deviation estimates of the least square and the Yule–Walker estimators of the parameter θn.