Goodness-of-fit tests for multiple regression with circular response
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作者:
Meilan-Vila, A.
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机构:
Univ Carlos III Madrid, Dept Stat, Ave Univ 30, Madrid 28911, Spain
Univ A Coruna, Fac Comp Sci, Dept Math, Res Grp MODES,CITIC, Campus Elvina S-N, La Coruna 15071, SpainUniv Carlos III Madrid, Dept Stat, Ave Univ 30, Madrid 28911, Spain
Meilan-Vila, A.
[1
,2
]
Francisco-Fernandez, M.
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Univ A Coruna, Fac Comp Sci, Dept Math, Res Grp MODES,CITIC, Campus Elvina S-N, La Coruna 15071, SpainUniv Carlos III Madrid, Dept Stat, Ave Univ 30, Madrid 28911, Spain
Francisco-Fernandez, M.
[2
]
Crujeiras, R. M.
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机构:
Univ Santiago de Compostela, Fac Math, Dept Stat Math Anal & Optimizat, Santiago De Compostela, SpainUniv Carlos III Madrid, Dept Stat, Ave Univ 30, Madrid 28911, Spain
Crujeiras, R. M.
[3
]
机构:
[1] Univ Carlos III Madrid, Dept Stat, Ave Univ 30, Madrid 28911, Spain
[2] Univ A Coruna, Fac Comp Sci, Dept Math, Res Grp MODES,CITIC, Campus Elvina S-N, La Coruna 15071, Spain
[3] Univ Santiago de Compostela, Fac Math, Dept Stat Math Anal & Optimizat, Santiago De Compostela, Spain
Model checking;
circular data;
local linear regression;
bootstrap;
NONPARAMETRIC REGRESSION;
LINEAR-MODELS;
ESTIMATORS;
D O I:
10.1080/00949655.2021.2015597
中图分类号:
TP39 [计算机的应用];
学科分类号:
081203 ;
0835 ;
摘要:
Testing procedures for assessing a parametric regression model with a circular response and an R-d-valued covariate are proposed and analysed in this work. The test statistics are based on a circular distance comparing a (non-smoothed or smoothed) parametric circular regression estimator and a nonparametric one. Two bootstrap procedures for calibrating the tests in practice are also presented. Finite sample performance of the tests in different scenarios is analysed by simulations and illustrated with real data examples.
机构:
Univ Teknol MARA, Fac Comp & Math Sci, Shah Alam 40450, Selangor, Malaysia
Univ Malaysia Perlis, Instute Engn Math, Kampus Pauh Putra, Arau, Perlis, MalaysiaUniv Teknol MARA, Fac Comp & Math Sci, Shah Alam 40450, Selangor, Malaysia
Hamid, Hamzah Abdul
Wah, Yap Bee
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机构:
Univ Teknol MARA, Fac Comp & Math Sci, Shah Alam 40450, Selangor, MalaysiaUniv Teknol MARA, Fac Comp & Math Sci, Shah Alam 40450, Selangor, Malaysia
Wah, Yap Bee
Xie, Xian-Jin
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机构:
Univ Texas Southwestern Med Ctr Dallas, Dept Clin Sci, Dallas, TX 75390 USA
Univ Texas Southwestern Med Ctr Dallas, Simmons Canc Ctr, Dallas, TX 75390 USAUniv Teknol MARA, Fac Comp & Math Sci, Shah Alam 40450, Selangor, Malaysia
机构:
Georgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30032 USAGeorgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30032 USA
Shapiro, Alexander
Xie, Yao
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机构:
Georgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30032 USAGeorgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30032 USA
Xie, Yao
Zhang, Rui
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机构:
Georgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30032 USAGeorgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30032 USA
机构:
South China Univ Technol, Dept Stat, Guangzhou, Peoples R ChinaSouth China Univ Technol, Dept Stat, Guangzhou, Peoples R China
Liu, Huiling
Li, Xinmin
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机构:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R ChinaSouth China Univ Technol, Dept Stat, Guangzhou, Peoples R China
Li, Xinmin
Chen, Feifei
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机构:
Beijing Normal Univ, Ctr Stat & Data Sci, Zhuhai 519087, Peoples R ChinaSouth China Univ Technol, Dept Stat, Guangzhou, Peoples R China
Chen, Feifei
Haerdle, Wolfgang
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机构:
Humboldt Univ, BRC Blockchain Res Ctr, D-10178 Berlin, Germany
Natl Yang Ming Chiao Tung U, Dept Informat Management & Finance, Hsinchu, Taiwan
Bucharest Univ Econ Studies, IDA Inst Digital Assets, Bucharest, RomaniaSouth China Univ Technol, Dept Stat, Guangzhou, Peoples R China
Haerdle, Wolfgang
Liang, Hua
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机构:
George Washington Univ, Dept Stat, Washington, DC 20052 USASouth China Univ Technol, Dept Stat, Guangzhou, Peoples R China
机构:
Univ Halle Wittenberg, Inst Med Epidemiol Biostat & Informat, D-06097 Halle An Der Saale, GermanyUniv Halle Wittenberg, Inst Med Epidemiol Biostat & Informat, D-06097 Halle An Der Saale, Germany