Date of Award
Doctor of Philosophy
Jay H Beder
Vytaras Brazauskas, Chao Zhu
Kaplan-Meier estimator, reverse supermartingale, semi-parametric, SLLN, survival analysis
We introduce a semi-parametric U-statistics estimator for randomly right censored data. We will study the strong law of large numbers for this estimator under proper assumptions about the conditional expectation of the censoring indicator with re- spect to the observed life times. Moreover we will conduct simulation studies, where the semi-parametric estimator is compared to a U-statistic based on the Kaplan- Meier product limit estimator in terms of bias, variance and mean squared error, under different censoring models.
Höft, Jan, "The Strong Law of Large Numbers for U-Statistics under Random Censorship" (2018). Theses and Dissertations. 1968.