Nonparametric estimation of a bivariate survival function in the presence of censoring. (English) Zbl 0625.62027

Tsai, Wei-Yann; Leurgans, Sue; Crowley, John

Ann. Stat. 14, 1351-1365 (1986).

A new family of estimators of a bivariate survival function based on censored vectors is obtained from a decomposition of the bivariate survival function. These estimators are uniformly consistent under bivariate censoring and are self-consistent under univariate censoring.

MSC:

62G05	Nonparametric estimation
62P10	Applications of statistics to biology and medical sciences; meta analysis

Keywords:

bivariate survival function; censored vectors; decomposition; uniformly consistent; bivariate censoring; self-consistent; univariate censoring