Semi-parametric MLE in Simple Linear Regression Analysis with Interval-Censored Data

References

• Ayer , M. , Brunk , H. D. , Ewing , G. M. , Reid , W. T. and Silverman , E. 1955 . An empirical distribution function for sampling incomplete information . Ann. Math. Statist. , 26 : 641 – 647 .
   Google Scholar
• Bickel , P. J. 1982 . On adaptive estimation . Ann. Statist. , 10 : 647 – 671 .
   Google Scholar
• Buckley , J. and James , L. 1979 . Linear regression with censored data . Biometrika , 66 : 429 – 436 .
   Google Scholar
• Chatterjee , S. and Price , B. 1991 . Regression Analysis by Example N.Y. : Wiley .
   Google Scholar
• Cosslett , S. R. 1987 . Efficient bounds for distribution-free estimator of the binary choice and the censored regression models . Econometrica , 55 : 559 – 585 .
   Google Scholar
• Davison , A. C. and Hinkley , D. V. 1997 . Bootstrap Methods and their Application N.Y. : Cambridge Press .
   Google Scholar
• Draper , N. R. and Smith , H. 1981 . Applied Regression Analysis N.Y. : Wiley .
   Google Scholar
• Efron , B. and Tibshirani , R. J. 1993 . An Introduction to the Bootstrap N.Y. : Chapman & Hall .
   Google Scholar
• Finkelstein , D. M. and Wolfe , R. A. 1985 . A semiparametric model for regression analysis of interval-censored failure time data . Biometrics , 41 : 933 – 945 .
   Google Scholar
• Huber , P. J. 1964 . Robust estimation of a location parameter . Ann. Math. Statist. , 35 : 73 – 101 .
   Google Scholar
• Ingber , L. 1989 . Very fast simulation re-annealing . Mathematical and Computer Modelling , 12 : 967 – 973 .
   Google Scholar
• Kiefer , J. and Wolfowitz , J. 1956 . Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters . Ann. Math. Statist. , 27 : 887 – 906 .
   Google Scholar
• Li , G. and Zhang , C. H. 1998 . Linear regression with interval censored data . Ann. Statist. , 26 : 1306 – 1327 .
   Google Scholar
• Li , L. X. and Pu , Z. W. 1999 . Regression models with arbitrarily interval-censored observations . Comm. in Statist.—Theory and Methods , 28 : 1547 – 1563 .
   Google Scholar
• Miller , R. G. 1981 . Survival Analysis N.Y. : Wiley .
   Google Scholar
• Odell , P. M. , Anderson , K. M. and D'Agostino , R. B. 1992 . Maximum likelihood estimation for interval-censored data using a Weibull-based accelerated failure time model . Biometrics , 48 : 951 – 959 .
   Google Scholar
• Osborne , M. R. 1985 . Finite Algorithms in Optimization and Data Analysis N.Y. : Wiley .
   Google Scholar
• Rabinowitz , D. , Tsiatis , A. and Aragon , J. 1995 . Regression with interval-censored data . Biometrika , 82 : 501 – 513 .
   Google Scholar
• Ritov , Y. 1990 . Estimation in a linear regression model with censored data . Ann. Statist. , 18 : 303 – 328 .
   Google Scholar
• Self , S. G. and Grossman , E. A. 1986 . Linear rank tests for interval-censored data with application to PCB levels in adipose tissue of transformer repair workers . Biometrics , 42 : 521 – 530 .
   Google Scholar
• Theil , H. 1950 . A rank-invariant method of linear and polynomial regression analysis, I . Proc. Kon. Ned. Akad. v. Wetensch. A , 53 : 386 – 392 .
   Google Scholar
• Turnbull , B. W. 1974 . Nonparametric estimation of a survivorship function with doubly censored data . JASA , 69 : 169 – 173 .
   Google Scholar
• Wellner , J. A. and Zhan , Y. 1997 . A hybrid algorithm for computation of the NPMLE from censored data . JASA , 92 : 945 – 959 .
   Google Scholar
• Yu , Q. Q. and Wong , G. Y. C. 1999 . The Semi-Parametric MLE in Linear Regression with Right-Censored Data . Preprint
   Google Scholar
• Zhang , C. H. and Li , X. 1996 . Linear regression with doubly censored data . Ann. Statist. , 24 : 2720 – 2743 .
   Google Scholar