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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국통계학회 CSAM(Communications for Statistical Applications and Methods) CSAM(Communications for Statistical Applications and Methods) 제27권 제5호
- 발행연도
- 2020.9
- 수록면
- 501 - 510 (10page)
이용수
초록· 키워드
오류제보하기
Mardia (Biometrika, 57, 519–530, 1970) defined measures of multivariate skewness and kurtosis. Based on these measures, omnibus test statistics of multivariate normality are proposed using normalizing transformations. The transformations we consider are normal approximation and aWilson-Hilferty transformation. The normalizing transformation proposed by Enomoto et al. (Communications in Statistics-Simulation and Computation, 49, 684–698, 2019) for the Mardia’s kurtosis is also considered. A comparison of power is conducted by a simulation study. As a result, sum of squares of the normal approximation to the Mardia’s skewness and the Enomoto’s normalizing transformation to the Mardia’s kurtosis seems to have relatively good power over the alternatives that are considered.
목차
Abstract
1. Introduction
2. Test statistics
3. Example and power comparison
4. Conclusions
References
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