We generalize the Cramer-von Mises Statistic to test multivariate normality using Roy's union-intersection principle. We show the limit distribution of the suggested statistic is representable as the integral of a suitable Gaussian process. We also consider the computational aspects of the proposed statistic. Power performance is assessed in a Monte Carlo study.
机构:
BNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
Cao, Yiwen
Liang, Jiajuan
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BNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
BNU HKBU United Int Coll, Guangdong Prov Key Lab Interdisciplinary Res & App, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
Liang, Jiajuan
Xu, Longhao
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机构:
Univ Med Ctr Goettingen, Dept Med Stat, D-37075 Geottingen, GermanyBNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
Xu, Longhao
Kang, Jiangrui
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BNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
机构:
BNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R ChinaBNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
Wang, Sirao
Liang, Jiajuan
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BNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
BNU HKBU United Int Coll, Guangdong Prov Key Lab Interdisciplinary Res & Ap, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
Liang, Jiajuan
Zhou, Min
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BNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
BNU HKBU United Int Coll, Guangdong Prov Key Lab Interdisciplinary Res & Ap, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
Zhou, Min
Ye, Huajun
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BNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
BNU HKBU United Int Coll, Guangdong Prov Key Lab Interdisciplinary Res & Ap, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Fac Sci & Technol, Zhuhai 519087, Peoples R China
机构:
BNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
BNU HKBU United Int Coll, Guangdong Prov Key Lab Interdisciplinary Res & Ap, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
Liang, Jiajuan
He, Ping
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BNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
BNU HKBU United Int Coll, Guangdong Prov Key Lab Interdisciplinary Res & Ap, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
He, Ping
Yang, Jun
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BNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R ChinaBNU HKBU United Int Coll, Dept Stat & Data Sci, Zhuhai 519087, Peoples R China
机构:
North China Elect Power Univ, Sch Math & Phys, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Baoding 071003, Peoples R China
Su, Yan
Kang, Shao-Yue
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North China Elect Power Univ, Sch Math & Phys, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Baoding 071003, Peoples R China
Kang, Shao-Yue
PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS RESEARCH AND MECHATRONICS ENGINEERING,
2015,
121
: 420
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