A family of test statistics for detecting monotone mean residual life

DOI10.1016/0378-3758(89)90002-5zbMath0682.62030OpenAlexW2000309377MaRDI QIDQ1824321

Bengt Klefsjö, Bo Bergman

Publication date: 1989

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(89)90002-5

zbMATH Keywords

life distributionsefficiencymean residual lifetesting exponentialitysurvival functionnormal approximationasymptotically normal distributionDMRLIMRLTTT-transformexponential censoring

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Reliability and life testing (62N05)

Related Items (16)

A moment inequality for decreasing (increasing) mean residual life distributions with hypothesis testing application ⋮ Testing for the Goodness of Fit for the DMRL Class of Life Distributions ⋮ Sharp bounds on DMRL and IMRL classes of life distributions with specified mean ⋮ A review of tests for exponentiality with Monte Carlo comparisons ⋮ A family of non-parametric tests for decreasing mean time to failure with censored data ⋮ A generalized Hollander-Proschan type test for NBUE alternatives ⋮ Quantile based tests for exponentiality against DMRQ and NBUE alternatives ⋮ TTT-plotting -- a tool for both theoretical and practical problems ⋮ Bahadur efficiency and local optimality of a test for the exponential distribution based on the gini statistic ⋮ Exact and asymptotic tests of exponentiality against nonmonotonic mean time to failure type alternatives ⋮ A test of exponentiality against ℳ alternatives ⋮ Detecting trend change in hazard functions -- an \(L\)-statistic approach ⋮ A family of test statistics for detecting monotone mean residual life ⋮ Use of mean residual life in testing departures from exponentiality ⋮ A test for detecting Laplace order dominance and related Bahadur efficiency issues ⋮ Testing exponentiality using mean residual quantile function

Cites Work

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• The Total Time on Test Concept and Its Use in Reliability Theory
• Tests for the mean residual life
• Expressing the Kaplan-Meier Estimator as a Function of Empirical Subsurvival Functions
• Testing Whether New is Better than Used

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