A. A. Abdushukurov1and F. A. Abdikalikov1

On estimation of mean conditional residual life function under random censored data

In this paper we study estimator of mean residual life function in fixed design regression model when life times are subjectedto informative random censoring from both sides. We prove an asymptotic normality of estimators

___

  • Abdushukurov A.A., Model of random censoring from both sides and independence criterian for it., Doclady Acad. Sci. Uzbekistan,(In Russian)., (1994).
  • Abdushukurov A.A., Nonparametric estimation of distribution function based on relative risk function., Commun Statist. : Theory and Methods,(1998).
  • Abdukalikov F. A., Abdushukurov A.A., Informative regression model under random censorship from both sides and estimating of survival function, Book of Abstracts of XXX Internet. Seminar on Stability Problems for stochastic Models. Svetlogorsk. Russia, (2012).
  • Abdukalikov F. A., Abdushukurov A.A., Semiparametrical estimation of conditional survival function in informative regression model of random censorship from both sides, In Statistical Methods of Estimation and Hypothisis Testing. Perm State Univ. Perm Russia, (In Russian),(2012).
  • Abdukalikov F. A., Abdushukurov A.A., An Investigating of power-type estimators of Lifetime functions in Regression Models, LAMBERT Academic Publishing. LAP. Germany, (In Russian), (2012).
  • Beran R , Nonparametric regression with randomly censored survival data, Technical Report. Univ. California. Berkeley, (1981).
  • Van Keilegom., Veraverbeke N., Uniform strong convergence for the conditional Kaplan-Meir estimator and its quantiles, Commun. Statist.:Theory and Methods, (1996).
  • Van Keilegom., Veraverbeke N., Estimation and bootstrap with censored data in fixed design nonparametric regression, Ann. Iust. Statist. Math,, (1997).
  • Veraverbeke N., Cadarso-Suares C., Estimation of conditional distribution in a conditional Koziol-Green model, Test, (2000).