Random Projection-Based Anderson-Darling Test for Random Fields

نویسندگان

  • Yasser Al Zaim Department of Statistics, Shahid Beheshti University, Tehran, Iran.
چکیده مقاله:

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.

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عنوان ژورنال

دوره 20  شماره 2

صفحات  1- 28

تاریخ انتشار 2021-12

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