Random Projection-Based Anderson-Darling Test for Random Fields

Author(s):

Yasser Al Zaim , MohammadReza Faridrohani*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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 Hilbert-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.

Keywords:

Goodness of Fit Tests , Multiple Testing , One-dimensional Random Projection , Random Field

Language:
English
Published:
Journal of Iranian Statistical Society, Volume:20 Issue: 2, Autumn 2021
Pages:
1 to 28
https://www.magiran.com/p2418613