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Related papers: Goodness of fit tests for weighted histograms

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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…

Data Analysis, Statistics and Probability · Physics 2010-03-02 N. D. Gagunashvili

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…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Nikolai 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…

Data Analysis, Statistics and Probability · Physics 2017-04-27 Nikolai Gagunashvili

A general and relatively simple method for construction of multivariate goodness-of-fit tests is introduced. The proposed test is applied to elliptical distributions. The method is based on a characterization of probability distributions…

Methodology · Statistics 2022-06-22 Feifei Chen , M. Dolores Jiménez-Gamero , Simos Meintanis , Lixing Zhu

We employ a general Monte Carlo method to test composite hypotheses of goodness-of-fit for several popular multivariate models that can accommodate both asymmetry and heavy tails. Specifically, we consider weighted L2-type tests based on a…

Methodology · Statistics 2023-03-09 Maicon J. Karling , Marc G. Genton , Simos G. Meintanis

Goodness-of-fit tests are often used in data analysis to test the agreement of a distribution to a set of data. These tests can be used to detect an unknown signal against a known background or to set limits on a proposed signal…

Methodology · Statistics 2023-03-20 Lolian Shtembari , Allen Caldwell

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…

Data Analysis, Statistics and Probability · Physics 2011-11-18 Nikolai Gagunashvili

The process comparing the empirical cumulative distribution function of the sample with a parametric estimate of the cumulative distribution function is known as the empirical process with estimated parameters and has been extensively…

Methodology · Statistics 2012-10-08 Ivan Kojadinovic , Jun Yan

Unbinned maximum likelihood is a common procedure for parameter estimation. After parameters have been estimated, it is crucial to know whether the fit model adequately describes the experimental data. Univariate Goodness of Fit procedures…

Applications · Statistics 2011-02-14 Giulio Palombo

The value of the likelihood is occasionally used by high energy physicists as a statistic to measure goodness-of-fit in unbinned maximum likelihood fits. Simple examples are presented that illustrate why this (seemingly intuitive) method…

Data Analysis, Statistics and Probability · Physics 2014-11-18 Joel Heinrich

We propose a nonparametric statistical test for goodness-of-fit: given a set of samples, the test determines how likely it is that these were generated from a target density function. The measure of goodness-of-fit is a divergence…

Machine Learning · Statistics 2016-09-28 Kacper Chwialkowski , Heiko Strathmann , Arthur Gretton

We consider goodness-of-fit tests for the distribution of the composed error in Stochastic Frontier Models. The proposed test statistic utilizes the characteristic function of the composed error term, and is formulated as a weighted…

Statistics Theory · Mathematics 2022-03-01 Simos G. Meintanis , Christos K. Papadimitriou

This paper discusses some problems possibly arising when approximating via Monte-Carlo simulations the distributions of goodness-of-fit test statistics based on the empirical distribution function. We argue that failing to re-estimate…

Data Analysis, Statistics and Probability · Physics 2008-04-01 Marco Capasso , Lucia Alessi , Matteo Barigozzi , Giorgio Fagiolo

The objective of goodness-of-fit testing is to assess whether a dataset of observations is likely to have been drawn from a candidate probability distribution. This paper presents a rank-based family of goodness-of-fit tests that is…

Statistics Theory · Mathematics 2019-04-18 Feras A. Saad , Cameron E. Freer , Nathanael L. Ackerman , Vikash K. Mansinghka

In the present paper, we develop a new goodness-of-fit test for the Birnbaum- Saunders distribution based on the probability plot. We utilize the sample correlation coefficient from the Birnbaum-Saunders probability plot as a measure of…

Applications · Statistics 2023-08-22 Chanseok Park , Min Wang

Multivariate analyses play an important role in high energy physics. Such analyses often involve performing an unbinned maximum likelihood fit of a probability density function (p.d.f.) to the data. This paper explores a variety of unbinned…

High Energy Physics - Experiment · Physics 2011-07-13 Mike Williams

Maximum likelihood fits to data can be done using binned data (histograms) and unbinned data. With binned data, one gets not only the fitted parameters but also a measure of the goodness of fit. With unbinned data, currently, the fitted…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Rajendran Raja

Record is used to reduce the time and cost of running experiments (Doostparast and Balakrishnan, 2010). It is important to check the adequacy of models upon which inferences or actions are based (Lawless, 2003, Chapter 10, p. 465). In the…

Statistics Theory · Mathematics 2011-10-26 Mahdi Doostparast

Fitting mixture distributions is needed in applications where data belongs to inhomogeneous populations comprising homogeneous sub-populations. The mixing proportions of the sub populations are in general unknown and need to be estimated as…

Methodology · Statistics 2019-12-10 Richard A. Lockhart , Chandanie W. Navaratna

A sizable amount of goodness-of-fit tests involving functional data have appeared in the last decade. We provide a relatively compact revision of most of these contributions, within the independent and identically distributed framework, by…

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