Tests of goodness of fit based on the \(L_2\)-Wasserstein distance
DOI10.1214/aos/1017938923zbMath0961.62037OpenAlexW2082531187WikidataQ86837774 ScholiaQ86837774MaRDI QIDQ1568268
Eustasio del Barrio, Carlos Matrán, Jesús M. Rodríguez-Rodríguez, Juan Antonio Cuesta-Albertos
Publication date: 30 January 2001
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1017938923
Brownian bridgesWasserstein distancegoodness of fitquantile processconvergence of integralstest of normalityShapiro-Wilk's test
Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) (L^p)-limit theorems (60F25)
Related Items (44)
Cites Work
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- Asymptotic distribution of the Shapiro-Wilk W for testing for normality
- On the distributions of \(L_ p\) norms of weighted uniform empirical and quantile processes
- The asymptotic equivalence of some modified Shapiro-Wilks statistics - complete and censored sample cases
- Some asymptotic theory for the bootstrap
- Strong approximations of the quantile process
- Convergence of integrals of uniform empirical and quantile processes
- Nonparametric Validation of Similar Distributions and Assessment of Goodness of Fit
- Normal Scores, Normal Plots, and Tests for Normality
- An analysis of variance test for normality (complete samples)
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