Asymptotic behavior for S-estimators in random design linear model with long-range-dependent errors

作者：Lin Zhengyan; Li Degui^*; Chen Jia

来源：Metrika, 2007, 66(3): 289-303.

DOI：10.1007/s00184-006-0111-6

• asymptotic distribution
• consistency
• linear model
• long-range dependence
• S-estimator

The asymptotic behavior of S-estimators in a random design linear model with long-range-dependent Gaussian errors is considered. It turns out that the S-estimators of regression parameter and error variance are strongly consistent under mild conditions. Furthermore, the asymptotic distribution of the S-estimator of regression parameter is normal if the design vectors are i.i.d. and is non-normal if the design vectors are long-range dependent Gaussian vectors. We also show that the asymptotic distribution of S-estimator of the error variance is non-normal since the errors are long-range dependent.

• 出版日期2007-11
• 单位浙江大学