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math.ST2006★ 7 cited
Integral representations of one dimensional projections for multivariate stable densities
Muneya Matsui, Akimichi Takemura
We consider the numerical evaluation of one dimensional projections of general multivariate stable densities introduced by Abdul-Hamid and Nolan (1998). In their approach higher or…
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…