Times between consecutive events are often of interest in medical studies. Usually the events represent different states of the disease process and are modeled using multi-state models. This paper introduces and studies a feasible estimation method for the transition probabilities in a...

In this work, we introduce and analyze new estimation procedures when a (p+1)-dimensional variable (U,T) is sampled under selection bias models. Here, T denotes a time of interest and U=(u1,...,up) is a vector of covariables. Applications include the estimation of (conditional) cumulative hazard...

Let (T1,T2) be gap times corresponding to two consecutive events, which are observed subject to random right-censoring. In this paper a simple estimator of the bivariate distribution function of (T1,T2) is proposed. We investigate the conditions under which the introduced estimator is...

Let (X,Y) be the variable of interest, where Y is the possibly right-censored lifetime and X is a p-dimensional covariate. We prove asymptotic normality for a generalized ACL (Abdushukurov-Cheng-Lin) estimator of E([phi](X,Y)) under proportional censorship for each function [phi] satisfying...

Tests for the comparison of k samples based on kernel density estimators (KDE) are introduced. The Double Minimum method as a new and useful procedure for the crucial problem of bandwidth selection is developed. The statistical power of the proposed tests, as well as the impact of the smoothing...

In this paper we define a new nonlinear wavelet-based estimator of conditional density function for a random left truncation and right censoring model. We provide an asymptotic expression for the mean integrated squared error (MISE) of the estimator. It is assumed that the lifetime observations...

Let (X,Y) be the variable of interest, where Y is the possibly right-censored lifetime and X is a p-dimensional covariate. We introduce a generalized ACL (Abdushukurov, Cheng, Lin) estimator F~XY of FXY(x,y)=P(X[less-than-or-equals, slant]x,Y[less-than-or-equals, slant]y) and we prove [integral...

In this paper, the R package DTDA for analyzing truncated data is described. This package contains tools for performing three different but related algorithms to compute the nonparametric maximum likelihood estimator of the survival function in the presence of random truncation. More precisely,...