Approximation of distributions by using the Anderson Darling statistic

DOI10.1080/03610926.2014.966844zbMath1349.62039OpenAlexW2512935096MaRDI QIDQ2832665

Eckhard Liebscher

Publication date: 11 November 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2014.966844

zbMATH Keywords

Anderson-Darling statisticdistribution approximationAnderson-Darling estimators

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Approximations to statistical distributions (nonasymptotic) (62E17)

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Cites Work

• Strong convergence of estimators as \(\varepsilon_n\)-minimisers of optimisation problems
• Epi-convergence of sequences of normal integrands and strong consistency of the maximum likelihood estimator
• Goodness-of-fit tests via phi-divergences
• Approximation Theorems of Mathematical Statistics
• On minimum cramer-von mises-norm parameter estimation
• Minimum anderson-darling estimation
• Nonparametric Validation of Similar Distributions and Assessment of Goodness of Fit
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
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