366
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Depth-based weighted empirical likelihood and general estimating equations

, , &
Pages 1051-1062 | Received 07 Jan 2011, Accepted 31 May 2011, Published online: 14 Jul 2011

References

  • Chen , S. X. and Hall , P. 1993 . Smoothed Empirical Likelihood Confidence Intervals for Quantiles . Annals of Statistics , 21 : 1166 – 1181 .
  • Chen , J. and Qin , J. 1993 . Empirical Likelihood Estimation for Finite Populations and the Effective Usage of Auxiliary Information . Biometrika , 80 : 107 – 116 .
  • Choi , E. , Hall , P. and Presnell , B. 2000 . Rendering Parametric Procedures More Robust by Empirically Tilting the Model . Biometrika , 87 : 453 – 465 .
  • Diciccio , T. J. , Hall , P. and Romano , J. P. 1991 . Empirical Likelihood is Bartlett-Correctable . Annals of Statistics , 19 : 1053 – 1061 .
  • Glenn , N. L. and Zhao , Y. 2007 . Weighted Empirical Likelihood Estimates and Their Robustness Properties . Computational Statistics & Data Analysis , 51 : 5130 – 5141 .
  • Kuk , A. Y.C. and Mak , T. K. 1989 . Median Estimation in the Presence of Auxiliary Information . Journal of the Royal Statistical Society Series B , 51 : 261 – 269 .
  • Li , G. and Qin , J. 1998 . Semiparametric Likelihood-Based Inference for Biased and Truncated Data when the Total Sample Size is Known . Journal of the Royal Statistical Society Series B , 60 : 243 – 254 .
  • Liu , R. Y. 1990 . On a Notion of Data Depth Based Upon Random Simplices . Annals of Statistics , 18 : 405 – 414 .
  • Owen , A. B. 1988 . Empirical Likelihood Ratio Confidence Intervals for a Single Functional . Biometrika , 75 : 237 – 249 .
  • Owen , A. B. 1990 . Empirical Likelihood Ratio Confidence Regions . Annals of Statistics , 18 : 90 – 120 .
  • Owen , A. B. 1991 . Empirical Likelihood for Linear Models . Annals of Statistics , 19 : 1725 – 1747 .
  • Owen , A. B. 2001 . Empirical Likelihood , New York : Chapman and Hall/CRC .
  • Peligrad , M. and Utev , S. 1997 . Central Limits Theorem for Linear Process . Annals of Applied Probability , 25 : 443 – 456 .
  • Pruitt , W. E. 1966 . Summability of Independent Random Variables . Journal of Mathematics and Mechanics , 15 : 769 – 776 .
  • Qin , J. and Lawless , J. F. 1994 . Empirical Likelihood and General Estimating Equations . Annals of Statistics , 22 : 300 – 325 .
  • Qin , J. 2000 . Combining Parametric and Empirical Likelihoods . Biometrika , 87 : 484 – 490 .
  • Rao , C. R. 1988 . Methodology Based on the Norm in Statistical Inference . Sankhya Series A , 50 : 289 – 313 .
  • Serfling , R. 2002 . “ A Depth Function and a Scale Curve Based on Spatial Quantiles ” . In Statistical Data Analysis Based on the L1-Norm and Related Methods , Edited by: Dodge , Y. 25 – 38 . Basel : Birkhaüser . http://www.amazon.com/Statistical-Analysis-Statistics-Industry-Technology/dp/3764369205
  • Wang , Q. H. and Dai , P. 2008 . Semiparametric Model-Based Inference in the Presence of Missing Responses . Biometrika , 95 : 721 – 734 .
  • Wang , S. , Qian , L. and Carroll , R. J. 2010 . Generalized Empirical Likelihood Methods for Analyzing Longitudinal Data . Biometrika , 97 : 79 – 93 .
  • Wang , Q. H. and Rao , J. N.K. 2002 . Empirical Likelihood-Based Inference Under Imputation for Missing Response Data . Annals of Statistics , 30 : 896 – 924 .
  • Zuo , Y. 2003 . Projection-Based Depth Functions and Associated Medians . Annals of Statistics , 31 : 1460 – 1490 .
  • Zuo , Y. and Serfling , R. 2000c . On the Performance of Some Robust Nonparametric Location Measures Relative to a General Notion of Multivariate Symmetry . Journal of Statistical Planning and Inference , 84 : 55 – 79 .

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:

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:

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.