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https://hdl.handle.net/2440/55720
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Type: | Journal article |
Title: | Asymptotic behavior for S-estimators in random design linear model with long-range-dependent errors |
Author: | Lin, Z. Li, D. Chen, J. |
Citation: | Metrika: international journal for theoretical and applied statistics, 2007; 66(3):289-303 |
Publisher: | Physica-verlag GMBH & Co |
Issue Date: | 2007 |
ISSN: | 0026-1335 1435-926X |
Statement of Responsibility: | Lin Zhengyan, Li Degui and Chen Jia |
Abstract: | 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. |
Keywords: | Asymptotic distribution Consistency Linear model Long-range dependence S-estimator |
DOI: | 10.1007/s00184-006-0111-6 |
Published version: | http://dx.doi.org/10.1007/s00184-006-0111-6 |
Appears in Collections: | Aurora harvest 5 Economics publications |
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