Advanced search
Publication Cover
Communications in Statistics - Simulation and Computation Volume 21, 1992 - Issue 1
Submit an article Journal homepage
22
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Computation of certain minimum L2–distance type estimators under the linear model

Sunil K. Dhar Department of Mathematics, P..O. Box 870350, Tuscaloosa, 35487-0350, Alabama
Pages 203-220 | Published online: 27 Jun 2007

References

  • Barrondale , I. and Roberts , F. D. K. 1973 . An improved algorithm for discrete l1linear approximation . SIAM J. Numer. Anal. , 10 : 839 – 848 .
  • Bloomfield , P. and Steiger , W. L. 1980 . Least absolute deviations for curve-fitting . SIAM J. Sci. Statist. Comput. , 1 : 290 – 301 .
  • Brown , L.D. and Purves , R. 1973 . Measurable selections of extrema . The Annals of Statistics , 1 ( 5 ) : 902 – 912 .
  • Dhar , S.K. 1991a . Minimum distance estimation in an additive effects outliers model . The Annals of Statistics , 19 ( 1 ) : 205 – 228 .
  • Dhar , S.K. 1991b . Existence and computation of minimum distance estimation in AR[K] model , J. Amer. Statist. Assoc. . revised
  • Donoho , D.L. and Liu , R.C. 1988 . The automatic Robustness of Minimum distance Functionals , Vol. 16 , 552 – 586 . Annals of Statistics .
  • Forsythe , G.E. , Malcolm , M.A. and Moler , C.B. 1977 . Computer Methods for Methematical Computation , Englewood Cliffs, N.J. : Premtice Hall .
  • Huber , Peter J. 1973 . The 1972 Wald memorial lectures, robust regression:Asymptotics, conjectures and Monte Carlo . The Annals of Statistics , 1 ( 5 ) : 799 – 821 .
  • Koul , H.L. 1985 . Minimum distance estimation in linear regression with unknown error distribution . Statistics & Probability Letters , 3 ( 1 ) : 1 – 8 .
  • 1985b . Minimum distance estimation in multiple linear regression . Sankhyā:The Indian Journal of Statistics , 47 ( 1 ) : 57 – 74 .
  • 1986 . Minimum distance estimation and goodness-of-fit tests in first-order autoregression . The Annals of Statistics , 14 ( 3 ) : 1194 – 1213 .
  • Koul , H.L. and DeWet , T. 1983 . Minimum distance estimation in a linear regression model . The Annals of Statistics , 11 ( 3 ) : 921 – 932 .
  • Koul , H.L. , Sievers , G.L. and McKean , J. 1987 . An estimator of the scale parameter for the rank analysis of linear models under general score function . Scand. J. Statistics , 14 ( 3 ) : 131 – 141 .
  • Seneta , E. 1983 . The weighted median andmultiple regression . Australian Journal of Statistics , 25 ( 2 ) : 370 – 377 .
  • Wagner , H.M. 1959 . Linear programming techniques for regression analysis . The J. Amer. Statist. Assoc. , 54 ( 2 ) : 206 – 212 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.