TY - JOUR
TI - On Some Goodness of Fit Tests for Normality Based on the Optimal Transport Distance
AU - Mazur, Marcin
AU - Kościelniak, Piotr
TI - On Some Goodness of Fit Tests for Normality Based on the Optimal Transport Distance
AB - 
	We apply the optimal transport distance to construct two goodness of fit tests for (univariate) normality. The derived statistics are then compared with those used by the Shapiro-Wilk, the Anderson-Darling and the Cramer-von Mises tests. In particular, we preform Monte Carlo experiments, involving computations of the test power against some selected alternatives and wide range of sample sizes, which show efficiency of the obtained test procedures.
VL - 2018
IS - Volume 27
PY - 2018
SN - 1732-3916
C1 - 2083-8476
SP - 59
EP - 68
DO - 10.4467/20838476SI.18.005.10410
UR - https://ejournals.eu/en/journal/schedae-informaticae/article/on-some-goodness-of-fit-tests-for-normality-based-on-the-optimal-transport-distance
KW - Goodness of fit test (for normality)
KW - optimal transport distance
KW - Wasserstein distance
KW - autoencoder-based generative model.