282
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Conditional mean residual life estimation

&
Pages 471-495 | Received 04 Mar 2010, Accepted 29 Nov 2010, Published online: 10 Feb 2011

References

  • Abdous , B. and Berred , A. 2005 . Mean Residual Life Estimation . Journal of Statistical Planning and Inference , 132 : 3 – 19 .
  • Barron , A. R. , Birgé , L. and Massart , P. 1999 . Risk Bounds for Model Selection Via Penalization . Probability Theory and Related Fields , 113 : 301 – 413 .
  • Brunel , E. , Comte , F. and Lacour , C. 2010 . Minimax Estimation of the Conditional Cumulative Distribution Function Under Random Censorship . Sankhya A , 72 ( Part 2 ) : 293 – 330 .
  • Castellan , G. and Letué , F. 2000 . “ Estimation of the Cox Regression Function Via Model Selection ” . Ph.D. thesis http://ljk.imag.fr/membres/Frederique.Letue/
  • Chaubey , Y. P. and Sen , P. K. 1999 . On Smooth Estimation of Mean Residual Life . Journal of Statistical Planning and Inference , 75 : 223 – 236 .
  • Chen , Y. Q. and Cheng , S. 2005 . Semiparametric Regression Analysis of Mean Residual Life With Censored Survival Data . Biometrika , 92 : 19 – 29 .
  • Chen , Y. Q. , Jewell , N. P. , Lei , X. and Cheng , S. C. 2005 . Semiparametric Estimation of Proportional Mean Residual Life Model in Presence of Censoring . Biometrics , 61 : 170 – 178 .
  • Cohen , A. , Daubechies , I. and Vial , P. 1993 . Wavelets on the Interval and Fast Wavelet Transforms . Applied and Computational Harmonic Analysis , 1 : 54 – 81 .
  • Comte , F. , Gaïffas , S. and Guilloux , A. in press . Adaptive Estimation of the Conditional Intensity of Marker-Dependent Counting Processes . Annales de l'Inst. Henri Poincaré Probability and Statistics , http://www.imstat.org/aihp/accepted.html
  • Csörgö , M. and Zitikis , R. 1996 . Mean Residual Life Processes . Annals of Statistics , 24 : 1717 – 1739 .
  • DeVore , R. A. and Lorentz , G. G. 1993 . Constructive Approximation , Berlin : Springer-Verlag .
  • Embrechts , P. , Klüppelberg , C. and Mikosch , T. 1997 . Modelling Extremal Events , Edited by: Karatzas , I. and Yor , M. Berlin : Springer .
  • Hall , W. J. and Wellner , J. 1981 . “ Mean Residual Life ” . In Statistics and Related Topics (Ottawa, Ontario, 1980) , Edited by: Csorgo , M. , Dawson , D. A. , Rao , J. N.K. and Saleh , A. K.Md.E. 169 – 184 . Amsterdam, New York : North-Holland .
  • Kaplan , E. L. and Meier , P. 1958 . Nonparametric Estimation from Incomplete Observations . Journal of the American Statistical Association , 53 : 457 – 481 .
  • Lawless , J. F. 2003 . Statistical Models and Methods for Lifetime Data , 2 , Wiley Series in Probability and Statistics Hoboken, NJ : Wiley-Interscience [John Wiley & Sons] .
  • Leurgans , S. 1987 . Linear Models, Random Censoring and Synthetic Data . Biometrika, , 74 : 301 – 309 .
  • Lo , S. H. , Mack , Y. P. and Wang , J. L. 1989 . Density and Hazard Rate Estimation for Censored Data Via Strong Representation of the Kaplan-Meier Estimator . Probability and Theory Related Fields , 80 : 461 – 473 .
  • Maguluri , G. and Zhang , C.-H. 1994 . Estimation in the Mean Residual Life Regression Model . Journal of the Royal Statistical Society Series B , 56 : 477 – 489 .
  • McLain , A. C. and Ghosh , S. K. 2009 . “ Nonparametric Estimation of the Conditional Mean Residual Life Function Based on Censored Data ” . NC State Department of Statistics . Technical report # 2627 http://www.lib.ncsu.edu/resolver/1840.4/4103
  • Na , M. H. and Kim , J. J. 1999 . On Inference for Mean Residual Life . Communications in Statististics – Theory and Methods , 28 : 2917 – 2933 .
  • Oakes , D. and Dasu , T. 1996 . A Note on Residual Life . Biometrika , 77 : 409 – 410 .
  • Prentice , R. I. 1973 . Exponential Survivals with Censoring and Explanatory Variables . Biometrika , 60 : 279 – 288 .
  • Talagrand , M. 1996 . New Concentration Inequalities in Product Spaces . Inventiones Mathematicae , 126 : 505 – 563 .

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.