Abstract
An empirical likelihood approach to estimate the coefficients in linear model with interval censored responses is developed in this paper. By constructing unbiased transformation of interval censored data, an empirical log-likelihood function with asymptotic X 2is derived. The confidence regions for the coefficients are constructed. Some simulation results indicate that the method performs better than the normal approximation method in term of coverage accuracies.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chen J, Hall P. Smoothed empirical likelihood confidence intervals for quintiles, Ann Statist, 1993, 21: 1161–1181.
De Gruttola V, Lagakos S W. Analysis of doubly-censored survival data with application to AIDS, Biometrics, 1989, 45:1–11.
Diamond I D, McDonald J W. Analysis of current status data, In: J Trussell, R Hankinson, J Tilton, eds, Demographic Applications of Event History Analysis, Oxford, U. K.: Oxford University Press, 1991, 231–252.
Diamond I D, McDonald J W, Shah I H. Proportional harzard models for current status data: application to the study of differnetials in age at weaning in Pakistein, Demography, 1986, 23:607–620.
Eicker F. Asymptotic normality and consistency of the least square estimators for families of linear regressions, Ann Math Statist, 1963, 14:447–456.
Finkelstein D M. A proportional harzard model for interval-censored failure time data, Biometrics, 1986, 42:845–854.
Finkelstein D M, Wolfe R A. A semiparametric model for regression analysis of interval-censored failure time data, Biometrics, 1985, 41:933–945.
He Q X, Zheng M. Empirical likelihood for the mean with interval censored data, to appear.
Hollander M, Mckeague I W, Yang J. Likelihood ratio-based confidence bands for survival function, J Amer Statist Assoc, 1997, 92:215–226.
Huang J, Wellner J A. Interval censored survival data: a review of recent progress, Lin and T Fleming, eds, Proceeding of the first Seattle Symposium in Biostatistics: Survival Analysis. New York: Spring, 1992, 123–170.
Owen A. Empirical likelihood ratio confidence intervals for single functional, Biometrika, 1988, 75:237–249.
Owen A. Empirical likelihood for linear models, Ann Statist, 1990: 19:865–871.
Wang Qihua, Rao J N K. Empirical likelihood-based inference in linear models with missing data, Scand J Statist, 2002, 29:563–576.
Shiboski S C, Jewell N P. Statistical analysis of the time dependence of HIV infectivity based on partner study data, J Amer Statist Assoc, 1992, 87:360–372.
Zheng M, Li S H. Empirical likelihood in partial linear error-in-covariable model with censored data, Communication in Statistics: Theory and Method, 2005, 2:389–404.
Zheng Z K. A class of estimators of the mean survival time from interval censored data with application to linear regression, to appear.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Qixiang, H., Ming, Z. Empirical likelihood-based inference in linear models with interval censored data. Appl. Math. Chin. Univ. 20, 338–346 (2005). https://doi.org/10.1007/s11766-005-0010-z
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11766-005-0010-z