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.
(2025). Bootstrap-based tests for the total time on test and the excess wealth orders [journal article - articolo]. In JOURNAL OF STATISTICAL PLANNING AND INFERENCE. Retrieved from https://hdl.handle.net/10446/303851
Bootstrap-based tests for the total time on test and the excess wealth orders
Lando, Tommaso;Legramanti, Sirio
2025-06-30
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.| File | Dimensione del file | Formato | |
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