基于 TTT 变换的 NBUE 分布非参数推断

Pub Date : 2024-05-24 DOI:10.1016/j.spl.2024.110157

Tommaso Lando

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引用次数: 0

摘要

本文提出了一种在 "新的优于已用期望"（NBUE）假设下运行的累积分布函数均匀一致估计器。此外，本文还介绍了一类新的 NBUE 空假说一致性检验。这两种程序都利用了经验总测试时间（TTT）变换。通过模拟研究了所提方法的有限样本特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Nonparametric inference for NBUE distributions based on the TTT transform

This paper presents a uniformly consistent estimator for the cumulative distribution function, operating under the assumption of “new better than used in expectation” (NBUE). Additionally, it introduces a novel class of consistent tests for the NBUE null hypothesis. Both procedures leverage the empirical total time on test (TTT) transform. Finite sample properties of the proposed methods are investigated through simulations.

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