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math.ST2024
Integrated empirical measures and generalizations of classical goodness-of-fit statistics
Hsien-Kuei Hwang, Satoshi Kuriki
Based on -fold integrated empirical measures, we study three new classes of goodness-of-fits tests, generalizing Anderson-Darling, Cramér-von Mises, and Watson statistics, respe…
math.ST2010
Distributions of the largest singular values of skew-symmetric random matrices and their applications to paired comparisons
Satoshi Kuriki
Let be a real skew-symmetric Gaussian random matrix whose upper triangular elements are independently distributed according to the standard normal distribution. We provide the…
math.ST2006★ 3 cited
Skewness and kurtosis as locally best invariant tests of normality
Akimichi Takemura, Muneya Matsui, Satoshi Kuriki
Consider testing normality against a one-parameter family of univariate distributions containing the normal distribution as the boundary, e.g., the family of -distributions or a…