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A note on the strong consistency of M-estimates in linear models

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Abstract

We improve a known result on the strong consistency of M-estimates of the regression parameters in a linear model for independent and identically distributed random errors under some mild conditions.

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Acknowledgments

The authors are most grateful to Professor Norbert Henze and an Associate Editor for their comments and valuable suggestions which helped to improve an earlier version of this paper.

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Correspondence to Shuhe Hu.

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This work is supported by the National Natural Science Foundation of China (11171001, 11201001, 11426032), the Natural Science Foundation of Anhui Province (1308085QA03, 1408085QA02), the Science Fund for Distinguished Young Scholars of Anhui Province (1508085J06) and Introduction Projects of Anhui University Academic and Technology Leaders.

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Wang, X., Hu, S. A note on the strong consistency of M-estimates in linear models. Metrika 79, 265–266 (2016). https://doi.org/10.1007/s00184-015-0554-8

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  • DOI: https://doi.org/10.1007/s00184-015-0554-8

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