Random Projection-Based Anderson-Darling Test for Random Fields

被引：0
|
作者：
Al Zaim, Yasser [1 ]
Faridrohani, Mohammad Reza [1 ]
机构：
[1] Shahid Beheshti Univ, Dept Stat, Tehran, Iran
来源：
JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY | 2021年 / 20卷 / 02期
关键词：
Goodness of Fit Tests; Multiple Testing; One-dimensional Random Projection; Random Field; GOODNESS-OF-FIT; FALSE DISCOVERY RATE;
D O I：
10.52547/jirss.20.2.1
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 present the Anderson-Darling (AD) and Kolmogorov-Smirnov (KS) goodness of fit statistics for stationary and non-stationary random fields. Namely, we adopt an easy-to-apply method based on a random projection of a Hilber-valued random field onto the real line R, and then, applying the well-known AD and KS goodness of fit tests. We conclude this paper by studying the behavior of the proposed approach in the wide range of simulation studies and in a case study of autistic and healthy individuals.
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页码：1 / 28
页数：28
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