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A self-contained Fortran-77 program for goodness of fit tests for histograms with weighted entries as well as with unweighted entries is presented. The code calculates test statistics for case of histogram with normalized weights of events…

数据分析、统计与概率 · 物理学 2011-11-18 Nikolai Gagunashvili

Two modifications of the chi square test for comparing usual(unweighted) and weighted histograms and two weighted histograms are proposed. Numerical examples illustrate an application of the tests for the histograms with different…

数据分析、统计与概率 · 物理学 2011-11-09 N. D. Gagunashvili

Histograms with weighted entries are used to estimate probability density functions. Computer simulation is the main application of this type of histograms. A review on chi-square tests for comparing weighted histograms is presented in this…

数据分析、统计与概率 · 物理学 2017-04-27 Nikolai Gagunashvili

Weighted histograms in Monte Carlo simulations are often used for the estimation of probability density functions. They are obtained as a result of random experiments with random events that have weights. In this paper, the bin contents of…

数据分析、统计与概率 · 物理学 2010-03-02 N. D. Gagunashvili

Weighted histogram in Monte-Carlo simulations is often used for the estimation of a probability density function. It is obtained as a result of random experiment with random events that have weights. In this paper the bin contents of…

数据分析、统计与概率 · 物理学 2008-11-28 N. D. Gagunashvili

We propose an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. that two histograms are drawn from the same distribution). The…

数据分析、统计与概率 · 物理学 2013-05-22 Sergey Bityukov , Nikolai Krasnikov , Alexander Nikitenko , Vera Smirnova

We consider an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. two histograms are drawn from the same distribution). The…

数据分析、统计与概率 · 物理学 2013-11-26 S. Bityukov , N. Krasnikov , A. Nikitenko , V. Smirnova

A new test statistic based on success runs of weighted deviations is introduced. Its use for observations sampled from independent normal distributions is worked out in detail. It supplements the classic $\chi^{2}$ test which ignores the…

统计理论 · 数学 2017-04-10 Frederik Beaujean , Allen Caldwell

Weighted histograms are used for the estimation of probability density functions. Computer simulation is the main domain of application of this type of histogram. A review of chi-square goodness of fit tests for weighted histograms is…

数据分析、统计与概率 · 物理学 2015-05-13 Nikolai Gagunashvili

Two-sample tests for multivariate data and non-Euclidean data are widely used in many fields. Parametric tests are mostly restrained to certain types of data that meets the assumptions of the parametric models. In this paper, we study a…

统计方法学 · 统计学 2018-05-01 Hao Chen , Xu Chen , Yi Su

Network (graph) data analysis is a popular research topic in statistics and machine learning. In application, one is frequently confronted with graph two-sample hypothesis testing where the goal is to test the difference between two graph…

统计方法学 · 统计学 2021-02-01 Mingao Yuan , Qian Wen

Determining if two histograms are consistent, whether they have been drawn from the same underlying distribution or not, is a common problem in physics. Existing approaches are not only limited in power but also inapplicable to histograms…

数据分析、统计与概率 · 物理学 2010-09-29 M. J. Betancourt

Two-weight linear codes are linear codes in which any nonzero codeword can have only two possible distinct weights. Those in the Hamming metric have proven to be very interesting for their connections with authentication codes, association…

信息论 · 计算机科学 2024-05-07 Ferdinando Zullo , Olga Polverino , Paolo Santonastaso , John Sheekey

Consider two random variables contaminated by two unknown transformations. The aim of this paper is to test the equality of those transformations. Two cases are distinguished: first, the two random variables have known distributions.…

统计方法学 · 统计学 2011-11-01 Mohamed Boutahar , Denys Pommeret

Which statistical features distinguish a meaningful text (possibly written in an unknown system) from a meaningless set of symbols? Here we answer this question by comparing features of the first half of a text to its second half. This…

计算与语言 · 计算机科学 2023-07-18 Weibing Deng , R. Xie , S. Deng , Armen E. Allahverdyan

Missing data is a common issue in many biomedical studies. Under a paired design, some subjects may have missing values in either one or both of the conditions due to loss of follow-up, insufficient biological samples, etc. Such partially…

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

统计方法学 · 统计学 2025-06-23 Yichuan Bai , Lynna Chu

We investigate the problem of testing the equivalence between two discrete histograms. A {\em $k$-histogram} over $[n]$ is a probability distribution that is piecewise constant over some set of $k$ intervals over $[n]$. Histograms have been…

数据结构与算法 · 计算机科学 2017-03-07 Ilias Diakonikolas , Daniel M. Kane , Vladimir Nikishkin

We consider the problem of testing the equality of conditional distributions of a response variable given a vector of covariates between two populations. Such a hypothesis testing problem can be motivated from various machine learning and…

统计方法学 · 统计学 2023-02-24 Xiaoyu Hu , Jing Lei

In this work, nonparametric log-rank-type statistical tests are introduced in order to verify homogeneity of purely discrete variables subject to arbitrary right-censoring for infinitely many categories. In particular, the Cram\'er-von…

统计理论 · 数学 2012-01-12 Dorival Leão , Alberto Ohashi
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