Goodness-of-fit test;
k-nearest neighbors rule;
Monte Carlo method;
Recognizing distribution;
Skewness and excess kurtosis;
NORMALITY;
D O I:
10.1080/03610918.2020.1812647
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:
This article puts forward an idea of recognizing distributions rather than carrying-out classic goodness-of-fit tests (GoFTs). For the purpose of recognizing the k-nearest neighbors (kNN) rule is applied. We focus the reader's attention on recognizing the normal distribution. The main part of the article is devoted to the computer implementation of a classifier of distributions that involves kNN rule. GoFTs are conservative. Recognizing distributions is exemplified by simulation and real data examples. When the test statistics exceeds relevant critical value then the verdict sounds: there are reasons to rejectAnd what next? Recognizing distributions is the answer to this question.
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:
Beijing Normal Univ, Ctr Stat & Data Sci, Zhuhai, Peoples R ChinaBeijing Normal Univ, Ctr Stat & Data Sci, Zhuhai, Peoples R China
Chen, Feifei
Dolores Jimenez-Gamero, M.
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机构:
Univ Seville, Dept Stat & Operat Res, Seville, SpainBeijing Normal Univ, Ctr Stat & Data Sci, Zhuhai, Peoples R China
Dolores Jimenez-Gamero, M.
Meintanis, Simos
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机构:
Natl & Kapodistrian Univ Athens, Dept Econ, Athens, Greece
North West Univ, Pure & Appl Analyt, Potchefstroom, South AfricaBeijing Normal Univ, Ctr Stat & Data Sci, Zhuhai, Peoples R China
Meintanis, Simos
Zhu, Lixing
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机构:
Beijing Normal Univ, Ctr Stat & Data Sci, Zhuhai, Peoples R ChinaBeijing Normal Univ, Ctr Stat & Data Sci, Zhuhai, Peoples R China
机构:
Anhui Normal Univ, Dept Stat, Wuhu 241000, Peoples R China
Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R ChinaAnhui Normal Univ, Dept Stat, Wuhu 241000, Peoples R China
He, Daojiang
Xu, Xingzhong
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机构:
Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R ChinaAnhui Normal Univ, Dept Stat, Wuhu 241000, Peoples R China
Xu, Xingzhong
Liu, Xuhua
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机构:
China Agr Univ, Dept Math, Beijing 100094, Peoples R ChinaAnhui Normal Univ, Dept Stat, Wuhu 241000, Peoples R China