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arXiv · 2310.13339

Bootstrap-based tests for the total time on test and the excess wealth orders

Tommaso Lando·Sirio Legramanti
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Abstract

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 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.

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Tommaso Lando, Sirio Legramanti. 2023-10-20. Bootstrap-based tests for the total time on test and the excess wealth orders. https://doi.org/10.1016/j.jspi.2025.106315

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