This paper proposes a nonparametric test to detect violations of the increasing hazard rate
property, based on the distance between the empirical distribution function and a shape …

To improve nonparametric estimates of lifetime distributions, we propose using the
increasing odds rate (IOR) model as an alternative to other popular, but more …

Given samples from two non‐negative random variables, we propose a family of tests for the
null hypothesis that one random variable stochastically dominates the other at the second …

Given a pair of non-negative random variables $ X $ and $ Y $, we introduce a class of
nonparametric tests for the null hypothesis that $ X $ dominates $ Y $ in the total time on test …

This paper presents a uniformly consistent estimator for the cumulative distribution function,
operating under the assumption of “new better than used in expectation”(NBUE) …

Measuring dispersion is among the most fundamental and ubiquitous concepts in statistics,
both in applied and theoretical contexts. In order to ensure that dispersion measures like the …

We introduce a comprehensive method for establishing stochastic orders among order
statistics in the iid case. This approach relies on the assumption that the underlying …

We introduce a comprehensive method for establishing stochastic orders among order
statistics in the iid case. This approach relies on the assumption that the underlying …