Testing exponentiality by comparing the empirical distribution function of the normalized spacings with that of the original data

DOI10.1080/10485250310001638102zbMath1091.62513OpenAlexW2151665003MaRDI QIDQ4470143

Emanuele Taufer, Sreenivasa Rao Jammalamadaka

Publication date: 22 June 2004

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250310001638102

zbMATH Keywords

Brownian BridgeKolmogorov-Smirnov statisticsAsymptotic efficiencyOmega square statisticsTest for exponentiality

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items (11)

New tests for exponentiality based on a characterization with random shift ⋮ A review of tests for exponentiality with Monte Carlo comparisons ⋮ An `apples to apples' comparison of various tests for exponentiality ⋮ A central limit theorem for the Hellinger loss of Grenander‐type estimators ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ A class of count models and a new consistent test for the Poisson distribution ⋮ A distribution free goodness of fit test for a stochastically ordered alternative ⋮ Goodness-of-Fit Tests Based on Correcting Moments of Entropy Estimators ⋮ A test of goodness-of-fit based on Gini's index of spacings ⋮ Use of mean residual life in testing departures from exponentiality ⋮ Testing exponentiality using mean residual quantile function

Cites Work

• Goodness-of-fit tests for exponentiality based on a loss-of-memory type functional equation
• A class of consistent tests for exponentiality based on the empirical Laplace transform
• Joint approximation of processes based on spacings and order statistics
• Tests of fit for exponentiality based on a characterization via the mean residual life function
• A class of tests for exponentiality against HNBUE alternatives
• On goodness of fit testing of exponenttality using the memoryless property
• An adaptive omnibus test for exponentiality
• The Kolmogorov-Smirnov, Cramer-von Mises Tests
• On the consistency of a test for symmetry based on a runs statistic
• Bahadur efficiency and local optimality of a test for the exponential distribution based on the gini statistic
• Bahadur efficiency of a test of exponentiality based on a loss-of-memory type functional equation
• Kolmogorov-Smirnov tests when parameters are estimated with applications to tests of exponentiality and tests on spacings
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Entropy-based goodness-of-fit test for exponentiality
• A Goodness-of-fit Test for Exponentiality Based on the Memoryless Property
• ON ENTROPY BASED TESTS FOR EXPONENTIALITY
• Testing for Harmonic New Better than used in Expectation
• Approximate Fiducial Bounds on Reliability for the Two Parameter Negative Exponential Distribution

This page was built for publication: Testing exponentiality by comparing the empirical distribution function of the normalized spacings with that of the original data