Asymptotic distribution of the Shapiro-Wilk W for testing for normality
From MaRDI portal
Publication:1091053
DOI10.1214/aos/1176350172zbMath0622.62019OpenAlexW2072155771MaRDI QIDQ1091053
Publication date: 1986
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176350172
Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Order statistics; empirical distribution functions (62G30) Asymptotic properties of parametric tests (62F05)
Related Items (20)
Weighted \(W\) test for normality and asymptotics a revisit of Chen--Shapiro test for normality ⋮ A class of invariant consistent tests for multivariate normality ⋮ Positivity of the best unbiased \(L\)-estimator of the scale parameter with complete or selected order statistics from location-scale distribution ⋮ Recent and classical tests for normality - a comparative study ⋮ Asymptotic distributions for quadratic forms with applications to censored data tests of fit ⋮ Normality tests for dependent data: large-sample and bootstrap approaches ⋮ A study of the quantile correlation test for normality ⋮ On the asymptotic efficiency of certain correlation tests of fit ⋮ The limit distribution of a modified Shapiro-Wilk statistic for normality to type II censored data ⋮ Transmission characteristics of investor sentiment for energy stocks from the perspective of a complex network ⋮ The large sample distribution of the Shapiro-Wilk statistic and its variants under type I or type II censoring ⋮ A generalized Shapiro-Wilk \(W\) statistic for testing high-dimensional normality ⋮ An empirical power comparison of univariate goodness-of-fit tests for normality ⋮ Goodness-of-fit-tests for composite hypotheses with censored samples ⋮ On testing the inverse Gaussian distribution hypothesis ⋮ Robust directed tests of normality against heavy-tailed alternatives ⋮ A powerful test for multivariate normality ⋮ Tests of goodness of fit based on the \(L_2\)-Wasserstein distance ⋮ Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests. (With comments) ⋮ F-probability plot and its application to multivariate normality
This page was built for publication: Asymptotic distribution of the Shapiro-Wilk W for testing for normality