A model of random censoring from the right under nonparametric regression with fixed covariates is considered. The properties of the power estimator of the distribution function are studied.
Similar content being viewed by others
References
R. Beran, Nonparametric regression with randomly censored survival data, Technical Report. Univ. California, Berkeley (1981).
C. J. Stone, “Consistent nonparametric regression,” Ann. Statist., 5, 595–645 (1977).
D.M. Dabrowska, “Variable band with conditional Kaplan–Meier estimate,” Ann. Statist., 19, 351–361 (1992).
I. Van Keilegom and N. Veraverbeke, “Uniform strong convergence for the conditional Kaplan–Meier estimator and its quantiles,” Comm. Statist. Theor. Meth., 25, 2251–2265 (1996).
I. Van Keilegom and N. Veraverbeke, “Estimating and bootstrap with censored data in fixed design nonparametric regression,” Ann. Inst. Statist. Math., 49, No. 3, 467–491 (1997).
N. Veraverbeke and C. Cadarso-Suares, “Estimating of the conditional distribution in a conditional Koziol-Green model,” Test, 9, No. 1, 97–122 (2000).
R. Braekers, Regression Problems with Partially Informative or Dependent Censoring, Limburgs Universitair Centrum (2004).
R. Braekers and N. Veraverbeke, “A copula-graphic estimator for the conditional survival function under dependent censoring,” Canadian J. Statist., 33, No. 3, 429–447 (2005).
R. Braekers and N. Veraverbeke, “A conditional Koziol-Green model under dependent censoring,” Statist. Probab. Let., 78, 927–937 (2007).
A.A. Abdushukurov, “Nonparametric estimations of the distribution function based on relative risk function,” Comm. Statist. Theor. Meth., 27, No. 8, 1991–2012 (1998).
A.A. Abdushukurov, Statistics of Incomplete Observations. Asymptotic Estimation Theory for Non- classical Models, University Press, Tashkent (2009).
A.A. Abdushukurov, “Estimation of the conditional distribution function from incomplete data in non-parametric regression with a fixed design,” in: Proc. Scientific Conf. “Sirazhdinovsky Readings” on the Prob. Theory and Math. Stat., Tashkent (2004), pp. 11–15.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Vol. 23, pp. 181–189, 2011
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Abdushukurov, A.A., Abdikalikov, F.A. Estimation of Conditional Distribution Function Under Nonparametric Regression with Fixed Design. J Math Sci 267, 132–138 (2022). https://doi.org/10.1007/s10958-022-06115-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-022-06115-0