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Strong Consistency of M Estimator in Linear Model for Negatively Associated Samples

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Abstract

This paper discusses the strong consistency of M estimator of regression parameter in linear model for negatively associated samples. As a result, the author extends Theorem 1 and Theorem 2 of Shanchao YANG (2002) to the NA errors without necessarily imposing any extra condition.

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References

  1. P. J. Huber, Robust regression Asymptotics conjectures and monte carlo, Ann. Statist., 1973, 1(5): 799–821.

    Google Scholar 

  2. Xiru Chen and Lincheng Zhao, M-methods in Linear Model (in Chinese), Shanghai Scientific and Technical Publishers, 1996.

  3. Shanchao Yang, Strong consistency of M estimator in linear model (in Chinese), Acta Mathematica Sinica, 2002, 45(1): 21–28.

    Google Scholar 

  4. K. Joag-Dev and F. Proschan, Negative association of random variables with applications, Ann. Statist., 1983, 11(1): 286–295.

    Google Scholar 

  5. Chun Su, Lincheng Zhao, and Yuebao Wang, Moment inequality and weak convergence for NA sequences (in Chinese), Science in China (Series A), 1996, 26(12): 1091–1099.

  6. Qunying Wu, Complete convergence for NA sequences, China Basic Science, 1999, (2–4): 89–91 (in Chinese).

  7. Shanchao Yang and Yuebao Wang, Strong consistency of regression function estimator for negative associated samples (in Chinese), Acta Mathematicae Applicatae Sinica, 1999, 22(4): 522–530.

    Google Scholar 

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Correspondence to Qunying Wu.

Additional information

The research is supported by National Natural Science Foundation of China (No. 10661006), the Support Program for 100 Young and Middle-aged Disciplinary Leaders in Guangxi Higher Education Institutions ([2005]64), and Guangxi Science Foundation (0447096).

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Wu, Q. Strong Consistency of M Estimator in Linear Model for Negatively Associated Samples. Jrl Syst Sci & Complex 19, 592–600 (2006). https://doi.org/10.1007/s11424-006-0592-4

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  • DOI: https://doi.org/10.1007/s11424-006-0592-4

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