Nonparametric inference for NBUE distributions based on the TTT transform

Tommaso Lando

Statistics & Probability Letters, 2024, vol. 212, issue C

Abstract: 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.

Keywords: Constrained estimation; Life distributions; Kolmogorov–Smirnov; Nonparametric test; Stochastic order (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110157

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