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Strong convergence of LAD estimates in a censored regression model 被引量:6

Strong convergence of LAD estimates in a censored regression model
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摘要 A regression model with a nonnegativity constraint on the dependent variable,known as censored median regression model, is considered. Under some mild conditions, the LAD estimate of the regression coefficient is shown to be strongly consistent.Furthermore, its convergence rate and Bahadur strong representation are also obtained. A regression model with a nonnegativity constraint on the dependent variable, known as censored median regression model, is considered. Under some mild conditions, the LAD estimate of the regression coefficient is shown to be strongly consistent. Furthermore, its convergence rate and Bahadur strong representation are also obtained.
出处 《Science China Mathematics》 SCIE 2005年第2期155-168,共14页 中国科学:数学(英文版)
基金 supported by the National Natural Science Foundation of China(Grant No.10171094) Ph.D.Program Foundation of the Ministry of Education of China Special Foundations of the Chinese Academy of Sciences and University of Science and Technology of China.
关键词 censored regression LAD estimator STRONG consistency convergence rate Bahadur representation. censored regression, LAD estimator, strong consistency, convergence rate, Bahadur representation.
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参考文献5

  • 1C. Radhakrishna Rao,L. C. Zhao.Recent contributions to censored regression models[J].Metrika.1995(1)
  • 2Gutti Jogesh Babu.Strong representations for LAD estimators in linear models[J].Probability Theory and Related Fields.1989(4)
  • 3Bahadur,R. R.A note on quantiles in large samples, Ann[].Math Stat.1966
  • 4Bennett,G.Probability inequalities for the sum of independent random variables, J.Amer. Statistics[].Assoc.1962
  • 5Babu,G. J.Strong representations for LAD estimators in linear models[].Probability Theory and Related Fields.1989

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