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

Year 2015, Volume: 3 Issue: 1, 90 - 96, 22.12.2014

Abdushukurov Akhmedovich Farhad Abdikalikov

Abstract

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

Keywords

Mean residual life function Fixed design regression model Asymptotic normality

References

  • 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).

A. A. Abdushukurov1and F. A. Abdikalikov1

Year 2015, Volume: 3 Issue: 1, 90 - 96, 22.12.2014

Abdushukurov Akhmedovich Farhad Abdikalikov

Abstract

References

  • 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).
There are 9 citations in total.

Details

Journal Section Articles
Authors

Abdushukurov Akhmedovich This is me

Farhad Abdikalikov This is me

Publication Date December 22, 2014
Published in Issue Year 2015 Volume: 3 Issue: 1

Cite

APA Akhmedovich, A., & Abdikalikov, F. (2014). On estimation of mean conditional residual life function under random censored data. New Trends in Mathematical Sciences, 3(1), 90-96.
AMA Akhmedovich A, Abdikalikov F. On estimation of mean conditional residual life function under random censored data. New Trends in Mathematical Sciences. December 2014;3(1):90-96.
Chicago Akhmedovich, Abdushukurov, and Farhad Abdikalikov. “On Estimation of Mean Conditional Residual Life Function under Random Censored Data”. New Trends in Mathematical Sciences 3, no. 1 (December 2014): 90-96.
EndNote Akhmedovich A, Abdikalikov F (December 1, 2014) On estimation of mean conditional residual life function under random censored data. New Trends in Mathematical Sciences 3 1 90–96.
IEEE A. Akhmedovich and F. Abdikalikov, “On estimation of mean conditional residual life function under random censored data”, New Trends in Mathematical Sciences, vol. 3, no. 1, pp. 90–96, 2014.
ISNAD Akhmedovich, Abdushukurov - Abdikalikov, Farhad. “On Estimation of Mean Conditional Residual Life Function under Random Censored Data”. New Trends in Mathematical Sciences 3/1 (December 2014), 90-96.
JAMA Akhmedovich A, Abdikalikov F. On estimation of mean conditional residual life function under random censored data. New Trends in Mathematical Sciences. 2014;3:90–96.
MLA Akhmedovich, Abdushukurov and Farhad Abdikalikov. “On Estimation of Mean Conditional Residual Life Function under Random Censored Data”. New Trends in Mathematical Sciences, vol. 3, no. 1, 2014, pp. 90-96.
Vancouver Akhmedovich A, Abdikalikov F. On estimation of mean conditional residual life function under random censored data. New Trends in Mathematical Sciences. 2014;3(1):90-6.