Relative efficiencies of goodness of fit procedures for assessing univariate normality

DOI10.1007/BF02482535zbMath0657.62052OpenAlexW1967064485MaRDI QIDQ1110952

James A. Koziol

Publication date: 1986

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02482535

zbMATH Keywords

Bahadur efficiencyCramér-von MisesAnderson- Darlingapproximate slopesassessing normalityDe Wet-Venter statisticsratios of limiting approximate slopes to limiting Pitman efficienciesShapiro-FranciaWatson statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Related Items

Integral distribution-free statistics of \(L_p\)-type and their asymptotic comparison ⋮ Asymptotic power of tests of normality under local alternatives ⋮ Empirical Hankel transforms and its applications to goodness-of-fit tests ⋮ Goodness-of-fit-tests for composite hypotheses with censored samples

Cites Work

• On efficiency and optimality of quadratic tests
• Asymptotic results for goodness-of-fit statistics with unknown parameters
• Tail probabilities of noncentral quadratic forms
• A condition under which the Pitman and Bahadur approaches to efficiency coincide
• Asymptotic distributions for quadratic forms with applications to tests of fit
• Weak convergence of the sample distribution function when parameters are estimated
• Concerning a Certain Probability Problem
• The Probability Plot Correlation Coefficient Test for Normality
• Tests for departure from normality: Comparison of powers
• An analysis of variance test for normality (complete samples)
• Rates of Convergence of Estimates and Test Statistics
• Stochastic Comparison of Tests
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