Uniform convergence of nonparametric regressions in competing risk models with right censoring

Adaptive Nonparametric Regression Estimation in Presence of Right Censoring

In this paper, we consider the problem of estimating a regression function when the outcome is censored. Two strategies of estimation are proposed: a two-step strategy where the ratio of two projection estimators is used to estimate the regression function; a direct strategy based on a standard mean-square contrast for censored data. For both estimators, non-asymptotic bounds for the integrated...

Bivariate Competing Risks Models Under Random Left Truncation and Right Censoring

In survival or reliability studies, it is common to have truncated data due to the limited time span of the study or dropouts of the subjects for various reasons. The estimation of survivor function under left truncation was first discussed by Kaplan and Meier by extending the well known productlimit estimator of the survivor function. The focus of this paper is on the nonparametric estimation ...

A Comparative Study Of Parametric And Nonparametric Regressions

Semiparametric Models for Left Truncation and Right Censoring with Missing Censoring Indicators

We derive the asymptotic distributions of a semiparametric Dikta-type estimator and an inverse probability weighted type estimator of a survival function for a missing censoring indicator left truncated model and provide a theoretical comparison study.

Nonparametric Estimation of the Incubation Period of AIDS with Left Truncation and Right Censoring

In the natural history of Human Immunodeficiency Virus Type-1 (HIV-1) infection, many studies included the participants who were seropositive at time of enrollment. Estimation of the unknown times since exposure to HIV-1 in the prevalent cohorts is of primary importance for estimation of the incubation period of Acquired Immunodeficiency Syndrome (AIDS). To estimate incubation period of AIDS we...