On the asymptotic efficiency of certain correlation tests of fit

DOI10.2307/3315205zbMath0632.62024OpenAlexW1995027140MaRDI QIDQ3769771

Richard A. Lockhart, C. G. McLaren

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/3315205

zbMATH Keywords

order statisticsasymptotic normalityexponential distributioncontiguous alternativeslogistic distributionsextreme-value distributionprobability plotsTests of fitcorrelation-type statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Asymptotic properties of parametric tests (62F05)

Related Items (4)

Weighted correlation tests for scale families. ⋮ Data-driven smooth tests for the extreme value distribution ⋮ Asymptotics for \(L_2\) functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances ⋮ Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests. (With comments)

Cites Work

• Unnamed Item
• Asymptotic distribution of the Shapiro-Wilk W for testing for normality
• The asymptotic distribution of the correlation coefficient in testing fit to the exponential distribution
• A consistent correlation-type goodness-of-fit test;with application to the two-parameter weibull distribution
• Correlation type gogdness-of-fit statistics with censored sampling

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