Minimum L_p Norm Estimator for Simple Linear Regressive Model

References

• Bai , Z. D. , Wu , Y. ( 1997 ). On necessary conditions for the weak consistency of minimum L 1-norm estimates in linear models . Statist. Probab. Lett. 34 : 193 – 199 .
   Web of Science ®Google Scholar
• Bertin , K. ( 2004 ). Minimax exact constant in sup-norm for nonparametric regression with random design . J. Statist. Plann. Infer. 123 : 225 – 242 .
   Web of Science ®Google Scholar
• Chatterjee , S. , Olkin , I. ( 2006 ). Nonparametric estimation for quadratic regression . Statist. Probab. Lett. 76 : 1156 – 1163 .
   Web of Science ®Google Scholar
• Froehlich , B. R. ( 1973 ). Some estimators for a random coefficient regression model . J. Amer. Statist. Assoc. 68 ( 342 ): 329 – 335 .
   Google Scholar
• Gnot , S. , Grzadziel , M. ( 2002 ). Nonnegative minimum biased quadratic estimation in mixed linear models . J. Multivariate Anal. 80 : 217 – 233 .
   Web of Science ®Google Scholar
• Kiountouzis , E. A. ( 1973 ). Linear programming techniques in regression analysis . Appl. Statist. 22 ( 1 ): 69 – 73 .
   Google Scholar
• Knight , K. ( 1998 ). Limiting distributions for L 1 regression estimators under general conditions . Ann. Statist. 26 ( 2 ): 755 – 770 .
   Web of Science ®Google Scholar
• Koul , H. L. ( 1986 ). Minimum distance estimation and goodness-of-fit tests in first-order autoregression . Ann. Statist. 14 ( 3 ): 1194 – 1213 .
   Web of Science ®Google Scholar
• Koul , H. L. , DeWet , T. ( 1983 ). Minimum distance estimation in a linear regression model . Ann. Statist. 11 ( 3 ): 921 – 932 .
   Web of Science ®Google Scholar
• Millar , P. W. ( 1984 ). A general approach to the optimality of the minimum distance estimators . Trans. Amer. Math. Soc. 286 : 377 – 418 .
   Web of Science ®Google Scholar
• Pak , R. J. ( 1996 ). Minimum Hellinger distance estimation in simple linear regression models; distribution and efficiency . Statist. Probab. Lett. 26 : 263 – 269 .
   Web of Science ®Google Scholar
• Prakasa Rao , B. L. S. ( 1987 ). Asymptotic Theory of Statistical Inference . New York : Wiley .
   Google Scholar
• Prakasa Rao , B. L. S. ( 2005 ). Minimum L 1-norm estimation for fractional Ornstein–Uhlenbeck type process . Theor. Probab. Math. Statist. 71 : 181 – 189 .
   Google Scholar