Goodness-of-fit tests gauge whether a given set of observations is consistent (up to expected random fluctuations) with arising as independent and identically distributed (i.i.d.) draws from a user-specified probability distribution known as the “model.” The standard gauges involve the discrepancy between the model and the empirical distribution of the observed draws. Some measures of discrepan...

This article considers the CUSUM-based (cumulative sum) test for a change point in a time series. In the case of testing for a mean shift, the traditional Kolmogorov–Smirnov test statistic involves a consistent long-run variance estimator, which is needed to make the limiting null distribution free of nuisance parameters. The commonly used lag-window type long-run variance estimator requires to...

Two characterizations of developable spaces are proved which may be viewed as analogues, for developable spaces, of the Nagata-Smirnov metrization theorem or of the "double sequence metrization theorem " of Nagata respectively.

The Kolmogorov-Smirnov test determines the consistency of empirical data with a particular probability distribution. Often, parameters in the distribution are unknown, and have to be estimated from the data. In this case, the Kolmogorov-Smirnov test depends on the form of the particular probability distribution under consideration, even when the estimated parameter-values are used within the di...

OBJECTIVE Fibromyalgia syndrome (FMs) is a chronic widespread pain condition that can negatively impact on all aspects of patient's life. The purpose of this study was: first, to evaluate illness perception (IP), quality of life (QoL) and affective-emotive variables (EAV) of patients with FM; and second, to compare these variables to different pain conditions. METHODS Consecutive 34 women (me...

We present an updated analysis of the solar neutrino problem in terms of both Mikheyev-Smirnov-Wolfenstein (MSW) and vacuum neutrino oscillations , with the inclusion of the preliminary data collected by the Su-perKamiokande experiment during 306.3 days of operation. In particular, the observed energy spectrum of the recoil electrons from 8 B neutrino scattering is discussed in detail and is us...

The two possible Mikheyev-Smirnov-Wolfenstein (MSW) solutions of the solar neutrino problem (one at small and the other at large mixing angle), up to now tested mainly through absolute neutrino ux measurements, require ux-independent tests both for a decisive connrmation and for their discrimination. To this end, we perform a joint analysis of various ux-independent observables that can be meas...

The assessment of overall homogeneity of time-to-event curves is a key element in survival analysis in biomedical research. The currently commonly used testing methods, e.g. log-rank test, Wilcoxon test, and Kolmogorov-Smirnov test, may have a significant loss of statistical testing power under certain circumstances. In this paper we propose a new testing method that is robust for the compariso...

This paper addresses the problem of nding moving objects present in an image sequence. More speciically, a method is proposed to merge regions based on a coherent motion criterion. A Modiied Kolmogorov-Smirnov test is proposed which exploits both the motion information present in the residual distribution and the motion information of the motion parameter space. Therefore, all the available mot...