The Kolmogorov-Smirnov (KS) test is popularly used in many applications, such as anomaly detection, astronomy, database security and AI systems. One challenge remained untouched how we can obtain an explanation on why a set fails the KS test. In this paper, tackle problem of producing counterfactual explanations for data failing Concept-wise, propose notion most comprehensible explanations, whi...

This paper proposes general speci...cation tests for the martingale hypothesis. They can be used to test the null hypothesis that a given time series is a martingale process, against the alternative hypothesis that it is a stationary ergodic nonmartingale process. We consider tests of two di¤erent types: one is a generalized Kolmogorov-Smirnov test and the other is a Cramer-von Mises type test....

Recently Duminil-Copin and Smirnov proved a long-standing conjecture of Nienhuis, made in 1982, that the connective constant of self-avoiding walks on the honeycomb lattice is √ 2 + √ 2. A key identity used in that proof was later generalised by Smirnov so as to apply to a general O(n) model with n ∈ [−2,2]. We modify this model by restricting to a half-plane and introducing a fugacity associat...

Objectives This study aimed to describe recent patterns in the types of statistical test used in original articles that were published in Journal of the Korean Association of Oral and Maxillofacial Surgeons. Materials and Methods Thirty-six original articles published in the Journal in 2015 and 2016 were ascertained. The type of statistical test was identified by one researcher. Descriptive s...