Abstract Yang (Ann Stat, 6: 112–116, 1978) considered an empirical estimate of the mean
residual life function on a fixed finite interval. She proved it to be strongly uniformly …

This note focuses on estimating the mean residual life function with left-truncated and right-
censored data. We show that the proposed estimator converges weakly to a Gaussian …

The mean residual life function provides a clear and simple summary of the effect of a
treatment or a risk factor in units of time, avoiding hazard ratios or probability scales, which …

This paper presents a comprehensive study of nonparametric estimation techniques on the
circle using Fej\'er polynomials, which are analogues of Bernstein polynomials for periodic …

The conditional mean residual life (MRL) function is the expected remaining lifetime of a
system given survival past a particular time point and the values of a set of predictor …

In extreme value inference it is a fundamental problem how the target value is required to be
extreme by the extreme value theory. In iid settings this study both theoretically and …

The data available for statistical analysis from many scientific areas often come with
measurement error. Ignoring measurement error can bring forth biased estimates and lead …

A smoothed rank-based procedure is developed for the accelerated failure time model to
overcome computational issues. The proposed estimator is based on an EM-type procedure …

A non parametric estimator of the joint distribution function of a positive bivariate random
vector is introduced. The case where one of the two variables is subject to right censoring is …

In this paper we focus on the testing of exponentiality (which essentially captures no aging)
against non-monotonic aging captured by the fairly large class of new worse then better than …