This article presents a derivation of the distribution of the Kolmogorov–Smirnov, Cramer–von Mises, and Anderson–Darling test statistics in the case of exponential sampling when the parameters are unknown and estimated from sample data for small sample sizes via maximum likelihood.

Methods Twenty-seven teenagers with asthma detected through the International Study of Asthma and Allergies in Childhood (ISAAC) questionnaire answered the ISAAC rhinitis module and underwent spirometry, FeNO measurement and evaluation of QOL through Peadiatric Asthma Quality of Life Questionnaire (PAQLQ). Student t test and Kolmogorov – Smirnov test were applied for means comparison; associati...

We propose Kolmogorov-Smirnov test as a means for recognising event-by-event fluctuations of rapidity distributions in relativistic heavy ion collisions. Such fluctuations may be induced by the spinodal decomposition of the rapidly expanding system during the 1st order quark-hadron phase transition.

In this article we examine the impact of daily trade turnover on the day-of-the-week effect in emerging stock markets. The empirical analysis was made by using Vilnius Stock OMX equities return data. The main method suggested for analysis was based on formation of three portfolios with equities having low, medium and high daily turnover. By applying traditional statistical research methods, suc...

A new approach of parameterization is proposed to construct a general goodnessof-fit test. It can not only generate traditional tests (including the Kolmogorov–Smirnov, Cramér– von Mises and Anderson–Darling tests) but also produce new types of omnibus tests, which are generally much more powerful than the old ones.

Taking the solar and the atmospheric neutrino experiments into account we discuss the lepton flavor violating processes, such as τ → μγ or μ → eγ, in the minimal supersymmetric standard model with right-handed neutrinos (MSSMRN) and the supersymmetric SU(5) GUT with righthanded neutrinos [SU(5)RN]. The predicted branching ratio of μ → eγ in the MSSMRN with the Mikheyev-Smirnov-Wolfenstein (MSW)...

Generic side-channel distinguishers aim at revealing the correct key embedded in cryptographic modules even when few assumptions can be made about their physical leakages. In this context, KolmogorovSmirnov Analysis (KSA) and Partial Kolmogorov-Smirnov analysis (PKS) were proposed respectively. Although both KSA and PKS are based on Kolmogorov-Smirnov (KS) test, they really differ a lot from ea...

Introduction: The Nagata-Smirnov Metrization theorem gives a full characterization of metrizable topological spaces. In other words, the theorem describes the necessary and sufficient conditions for a topology on a space to be defined using some metric. As a motivational example, consider the discrete topology on some space (every subset of the space is open). Though it might not be apparent to...