Characterizations of exponentiality within the HNBUE class and related tests

DOI10.1016/j.jspi.2008.11.010zbMath1161.60304OpenAlexW2155690734MaRDI QIDQ1015890

Javier Cárcamo, José R. Berrendero

Publication date: 30 April 2009

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

Full work available at URL: http://hdl.handle.net/10486/3235

zbMATH Keywords

order statisticshypothesis testingconvex orderHNBUE distributions

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Reliability and life testing (62N05) Distribution theory (60E99) Statistical distribution theory (62E99)

Related Items (7)

Tests for Stochastic Orders and Mean Order Statistics ⋮ A new test for exponentiality against HNBUE alternatives ⋮ A weighted integral approach to testing against HNBUE alternatives ⋮ Inverse Stochastic Dominance, Majorization, and Mean Order Statistics ⋮ Tests of non-monotonic stochastic aging notions in reliability theory ⋮ Detecting trend change in hazard functions -- an \(L\)-statistic approach ⋮ A test for detecting Laplace order dominance and related Bahadur efficiency issues

Cites Work

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• A class of tests for exponentiality against HNBUE alternatives
• On an Extension of the Gini Inequality Index
• Some results involving HNBUE distributions
• An exact test for hnbue class of life distributions
• Characterizations of life distributions by moments of extremes and sample mean
• The Asymptotic Distribution of the S–Gini Index
• The law of the iterated logarithm and central limit theorem for \(L\)-statistics

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