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Some probability inequalities of least-squares estimator in non linear regression model with strong mixing errors

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  • Wenzhi Yang
  • Yiwei Wang
  • Shuhe Hu

Abstract

In this paper, we investigate the non linear regression model when the errors are strong mixing. Some probabilityinequalities of the least-squares estimator are presented by using moment information of errors. Meanwhile, for some p > 2, two examples are given when errors satisfy supn≥1E|ξn|p=∞$\sup \nolimits _{n\ge 1}E|\xi _n|^p=\infty$ and supn≥1E|ξn|p

Suggested Citation

  • Wenzhi Yang & Yiwei Wang & Shuhe Hu, 2017. "Some probability inequalities of least-squares estimator in non linear regression model with strong mixing errors," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(1), pages 165-175, January.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:1:p:165-175
    DOI: 10.1080/03610926.2014.988261
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    Cited by:

    1. Gao, Min & Yang, Wenzhi & Wu, Shipeng & Yu, Wei, 2022. "Asymptotic normality of residual density estimator in stationary and explosive autoregressive models," Computational Statistics & Data Analysis, Elsevier, vol. 175(C).

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