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...

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...

An ensemble Markov chain Monte Carlo method of assessing uncertainty of aerosol properties from lidar measurements of extinction and backscatter is presented. The method applies the Metropolis-Hastings algorithm to an ensemble of Markov chains. Candidates are drawn from a hybrid random walk/independence sampler random generator. The independence sampler is formed by analyzing the ensemble partw...

UNLABELLED Many statistical problems in bioinformatics and genetics can be formulated as the testing of associations between a categorical variable and a continuous variable. A dynamic slicing method was proposed for non-parametric dependence testing, which has been demonstrated to have higher powers compared with traditional methods such as Kolmogorov-Smirnov test. We introduce an R package ds...

In this paper, we are interested in extending the classical KolmogorovSmirnov homogeneity test to compare two samples of interval-valued observed measurements. In such a case, the test result is interval-valued, and one major difficulty is to find the bounds of this set. We propose a very efficient computational method for approximating these bounds by using a p-box (pairs of upper and lower cu...

When a reliability analysis, survival analysis, or discrete-event simulation input modeling analysis is performed, it is typically the case that a modeler collects data associated with some system under consideration. Although this raw data provides an initial insight into the stochastic elements of the system, often it is desirable to construct a model of the system which is tractable for math...

The first part of this paper gives some general consistency theorems for the maximum product of spacings (MPS) method, an estimation method related to maximum likelihood. The second part deals with nonparametric estimation of a concave (convex) distribution and more generally a unimodal distribution, without smoothness assumptions on the densities. The MPS estimator for a distribution function ...

This paper analyses wind speed estimation for Weibull distribution using various methods. According to a previous study, the existing methods primarily target areas with moderate high-velocity rates, and Malaysia is tropical country pleasant breezes all year. As result, this research aims devise most efficient method of forecasting speeds in low-speed areas. The researcher compared such as Mome...

Visualization of the website clickstream data has been a pivotal process as it aids in defining the user preferences. It includes the processes of gathering, investigating and reporting about the web pages that are being viewed by the users. Clickstream visualization is primarily employed by organizations which focuses on gaining the user preferences and improve their products or services towar...