Higher-order expansion;
Power normalization;
Maximum;
Skew-normal distribution;
MAX STABLE LAWS;
CONVERGENCE;
ATTRACTION;
DOMAINS;
RATES;
UNIVARIATE;
D O I:
10.1007/s00362-016-0749-8
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In this paper, we establish the higher-order expansions of cumulative distribution function and probability density function of maximum from skew-normal distribution under power normalization. Numerical analysis are illustrated to support our findings.
机构:
Shanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R ChinaShanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China
Liu, Yonghui
Mao, Guohua
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机构:
Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R ChinaShanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China
Mao, Guohua
Leiva, Victor
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机构:
Pontificia Univ Catolica Valparaiso, Sch Ind Engn, Valparaiso 2362807, ChileShanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China
Leiva, Victor
Liu, Shuangzhe
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机构:
Univ Canberra, Fac Sci & Technol, Bruce, ACT 2617, AustraliaShanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China
Liu, Shuangzhe
Tapia, Alejandra
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机构:
Univ Catolica Maule, Sch Engn Stat, Talca 3466706, ChileShanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China
机构:
Hangzhou Dianzi Univ, Coll Econ, Hangzhou, Peoples R ChinaHangzhou Dianzi Univ, Coll Econ, Hangzhou, Peoples R China
Ye, Rendao
Wang, Tonghui
论文数: 0引用数: 0
h-index: 0
机构:
Northwest A & F Univ, Innovat Expt Coll, Yangling, Peoples R China
New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USAHangzhou Dianzi Univ, Coll Econ, Hangzhou, Peoples R China
Wang, Tonghui
Gupta, Arjun K.
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h-index: 0
机构:
Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USAHangzhou Dianzi Univ, Coll Econ, Hangzhou, Peoples R China
机构:
King Abdullah Univ Sci & Technol, Stat Program, Thuwal 239556900, Saudi ArabiaKing Abdullah Univ Sci & Technol, Stat Program, Thuwal 239556900, Saudi Arabia
Mondal, Sagnik
Arellano-Valle, Reinaldo B.
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机构:
Pontificia Univ Catolica Chile, Dept Stat, Santiago, ChileKing Abdullah Univ Sci & Technol, Stat Program, Thuwal 239556900, Saudi Arabia
Arellano-Valle, Reinaldo B.
Genton, Marc G.
论文数: 0引用数: 0
h-index: 0
机构:
King Abdullah Univ Sci & Technol, Stat Program, Thuwal 239556900, Saudi ArabiaKing Abdullah Univ Sci & Technol, Stat Program, Thuwal 239556900, Saudi Arabia