Bootstrap-based tests for the total time on test and the excess wealth orders
Statistics Theory
2025-06-25 v2 Statistics Theory
Abstract
Given a pair of non-negative random variables and , we introduce a class of nonparametric tests for the null hypothesis that dominates in the total time on test order. Critical values are determined using bootstrap-based inference, and the tests are shown to be consistent. The same approach is used to construct tests for the excess wealth order. As a byproduct, we also obtain a class of goodness-of-fit tests for the NBUE (New Better than Used in Expectation) family of distributions.
Cite
@article{arxiv.2310.13339,
title = {Bootstrap-based tests for the total time on test and the excess wealth orders},
author = {Tommaso Lando and Sirio Legramanti},
journal= {arXiv preprint arXiv:2310.13339},
year = {2025}
}