A scale-free goodness-of-fit statistic for the exponential distribution based on maximum correlations

DOI10.1016/S0378-3758(02)00272-0zbMath1016.62046MaRDI QIDQ1866222

Aurea Grané, Josep Fortiana

Publication date: 3 April 2003

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

zbMATH Keywords

goodness-of-fitmaximum correlationexponentialityL-statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15)

Related Items (14)

A moment-based empirical likelihood ratio test for exponentiality using the probability integral transformation ⋮ On the exact distribution of generalized Hollander-Proschan type statistics ⋮ Testing exponentiality based on the extropy of record values ⋮ A directional test of exponentiality based on maximum correlations ⋮ Characterization of exponential distribution using extropy based on lower \(k\)-records and its application in testing exponentiality ⋮ Moderate deviations for a class of L-statistics ⋮ Berry–Esseen Bound for a Class of NormalizedL-Statistics ⋮ Asymptotic properties of exponentiality tests based on \(L\)-statistics ⋮ A wide review on exponentiality tests and two competitive proposals with application on reliability ⋮ A Hollander-Proschan type test when ageing is not monotone ⋮ A location- and scale-free goodness-of-fit statistic for the exponential distribution based on maximum correlations ⋮ Detecting trend change in hazard functions -- an \(L\)-statistic approach ⋮ Sharp large deviations for a class of normalized L-statistics and applications ⋮ An exponential nonuniform convergence rate for a class of normalized L-statistics

Cites Work

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• The exact and approximate distributions of linear combinations of selected order statistics from a uniform distribution
• The distribution of linear combinations of random divisions of an interval
• Inequalities for E k(X, Y) when the marginals are fixed
• An Analysis of Variance Test for the Exponential Distribution (Complete Samples)

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