In this paper, we consider the product-limit quantile estimator of an unknown quantile function under a censored dependent model. This is a parallel problem to the estimation of the unknown distribution function by the product-limit estimator under the same model. Simultaneous strong Gaussian approximations of the product-limit process and product-limit quantile process are constructed with rat...

Kaplan and Meier’s 1958 article developed a nonparametric estimator of the survivor function from right-censored dataset. Determining size support as sample provides challenging exercise for students in an advanced course mathematical statistics. We devise two algorithms calculating calculate associated probability mass small sizes particular distributions failure censoring times.