AM  Vol.6 No.2 , February 2015
Semiparametric Estimator of Mean Conditional Residual Life Function under Informative Random Censoring from Both Sides
ABSTRACT
In this paper we study estimator of mean residual life function in fixed design regression model when life times are subjected to informative random censoring from both sides. We prove an asymptotic normality of estimators.

Cite this paper
Abdushukurov, A. and Abdikalikov, F. (2015) Semiparametric Estimator of Mean Conditional Residual Life Function under Informative Random Censoring from Both Sides. Applied Mathematics, 6, 319-325. doi: 10.4236/am.2015.62030.
References
[1]   Beran, R (1981) Nonparametric Regression with Randomly Censored Survival Data. Technical Report, University of California, Berkeley, 19.

[2]   Van Keilegom, I. and Veraverbeke, N. (1996) Uniform Strong Convergence for the Conditional Kaplan-Meir Estimator and Its Quantiles. Communications in Statistics—Theory and Methods, 25, 2251-2265.

[3]   Van Keilegom, I. and Veraverbeke, N. (1997) Estimation and Bootstrap with Censored Data in Fixed Design Nonparametric Regression. Annals of the Institute of Statistical Mathematics, 49, 467-491.
http://dx.doi.org/10.1023/A:1003166728321

[4]   Abdikalikov, F.A. and Abdushukurov, A.A. (2012) Informative Regression Model under Random Censorship from Both Sides and Estimating of Survival Function. Book of Abstracts, XXX Internet. Seminar on Stability Problems for stochastic Models, Svetlogorsk, 24-28 September 2012, 3-4.

[5]   Abdikalikov, F.A. and Abdushukurov, A.A. (2012) Semiparametrical Estimation of Conditional Survival Function in Informative Regression Model of Random Censorship from Both Sides. In: Statistical Methods of Estimation and Hypothesis Testing, Perm State University, Perm, Issue 24, 145-162. (In Russian)

[6]   Veraverbeke, N. and Cadarso-Suárez, C. (2000) Estimation of the Conditional Distribution in a Conditional Koziol-Green Model. Test, 9, 97-122.

[7]   Abdushukurov, A.A. (1994) Model of Random Censoring from Both Sides and Independence Criterion for It. Doclady Acad. Sci. Uzbekistan, 11, 8-9. (In Russian)

[8]   Abdushukurov, A.A. (1998) Nonparametric Estimation of Distribution Function Based on Relative Risk Function. Communications in Statistics—Theory and Methods, 27, 1991-2012.
http://dx.doi.org/10.1080/03610929808832205

[9]   Abdikalikov, F.A. and Abdushukurov, A.A. (2012) An Investigating of Power-Type Estimators of Lifetime Functions in Regression Models. LAMBERT Academic Publishing (LAP), Germany, 89. (In Russian)

 
 
Top