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Order Statistics in Goodness-of-Fit Testing

IEEE Transactions on Reliability, 2001
Our new method uses order statistics to judge the fit of a distribution to data. A test-statistic based on quantiles of order-statistics compares favorably with the Kolmogorov-Smirnov (K-S) and Anderson-Darling (A-D) test statistics. The performance of this new goodness-of-fit test statistic is examined with simulation experiments.
Andrew G. Glen   +2 more
openaire   +2 more sources

Random Numbers Generation and Goodness-of-Fit Testing for Literal Neutrosophic Numbers

Galoitica: Journal of Mathematical Structures and Applications, 2023
This paper presents an algorithm for generating random numbers that follow literal neutrosophic distributions using algebraic isomorphisms. The algorithm was applied to three distributions: literal neutrosophic uniform distribution, literal neutrosophic ...
M. B. Zeina   +2 more
semanticscholar   +1 more source

Smooth Tests of Goodness of Fit

Technometrics, 1991
AbstractSmooth tests of goodness of fit assess the fit of data to a given probability density function within a class of alternatives that differs ‘smoothly’ from the null model. These alternatives are characterized by their order: the greater the order the richer the class of alternatives. The order may be a specified constant, but data‐driven methods
Rayner, J. C. W., Thas, O., Best, D. J.
openaire   +2 more sources

Integral transform methods in goodness-of-fit testing, II: the Wishart distributions

Annals of the Institute of Statistical Mathematics, 2019
We initiate the study of goodness-of-fit testing for data consisting of positive definite matrices. Motivated by the appearance of positive definite matrices in numerous applications, including factor analysis, diffusion tensor imaging, volatility models
Elena Hadjicosta, D. Richards
semanticscholar   +1 more source

Length tests for goodnesss-of-fit

Biometrika, 1991
Consider an i.i.d. sample X 1,..., X n with distribution function F, which throughout is assumed to be twice continuously differentiable with support [0,1] and strictly positive derivative on [0,1]. Denote by $$0={X_{0:n}}\leqslant {X_{1:n}}\leqslant\cdots\leqslant{X_{n:n}}\leqslant{X_{n+1:n}}=1$$ (1) the order statistics, and the spacings by
Reschenhofer, Erhard, Bomze, Immanuel
openaire   +2 more sources

Goodness-of-Fit Testing for the Degradation Models in Reliability Analysis

IEEE International Conference on Actual Problems of Electronics Instrument Engineering, 2018
In this paper, the gamma and Wiener degradation models with covariates are considered. It is assumed that the independent increments of the degradation index have gamma distribution for the gamma degradation model and normal distribution in case of the ...
E. Chimitova, E. S. Chetvertakova
semanticscholar   +1 more source

Gaussian dependence structure pairwise goodness-of-fit testing based on conditional covariance and the 20/60/20 rule

Journal of Multivariate Analysis
We present a novel data-oriented statistical framework that assesses the presumed Gaussian dependence structure in a pairwise setting. This refers to both multivariate normality and normal copula goodness-of-fit testing.
Jakub Wo'zny   +4 more
semanticscholar   +1 more source

Goodness-of-Fit Tests on a Circle. II

Biometrika, 1961
Abstract : A statistical analysis is made by use of the null hypothesis test for random samples which have been drawn from a population with the continuous distribution function F(x). It is useful for distributions on a circle since its value does not depend on the arbitrary point chosen to begin cumulating the probability density and the sample points.
openaire   +2 more sources

A test of goodness of fit

Statistica Neerlandica, 1966
info:eu-repo/semantics ...
Vandewiele, Georges, De Witte, Paul
openaire   +3 more sources

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