时间序列正态性的一种简单检验

A SIMPLE TEST OF NORMALITY FOR TIME SERIES

Econometric Theory · 2004
被引 64
人大 A-ABS 4

中文导读

提出一种针对相关数据的正态性检验方法,使用偏度-峰度检验统计量,但通过自相关稳健的标准误估计量进行学生化,无需选择平滑参数,简单易用。

Abstract

This paper considers testing for normality for correlated data. The proposed test procedure employs the skewness-kurtosis test statistic, but studentized by standard error estimators that are consistent under serial dependence of the observations. The standard error estimators are sample versions of the asymptotic quantities that do not incorporate any downweighting, and, hence, no smoothing parameter is needed. Therefore, the main feature of our proposed test is its simplicity, because it does not require the selection of any user-chosen parameter such as a smoothing number or the order of an approximating model.We are very grateful to Don Andrews and two referees for useful comments and suggestions. We are especially thankful to a referee who provided a FORTRAN code. Lobato acknowledges financial support from Asociación Mexicana de Cultura and from Consejo Nacional de Ciencia y Tecnologìa (CONACYT) under project grant 41893-S. Velasco acknowledges financial support from Spanish Dirección General de Enseñanza Superior, BEC 2001-1270.

正态性检验时间序列偏度-峰度检验序列相关