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Multinomial Goodness-Of-Fit Tests
SUMMARY This article investigates the family {I λ;λ ϵ ℝ} of power divergence statistics for testing the fit of observed frequencies {Xi; i = 1, …, k} to expected frequencies {Ei; i = 1, …, k}. From the definition 2nIλ=2λ(λ+1)∑i=1kXi{(XiEi)λ−1};λ∈ℝ it can easily be seen that Pearson's X 2 (λ = 1), the log likelihood ratio
Cressie, Noel A, Read, Timothy
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Remember the Curse of Dimensionality: The Case of Goodness-of-Fit Testing in Arbitrary Dimension [PDF]
Despite a substantial literature on nonparametric two-sample goodness-of-fit testing in arbitrary dimensions spanning decades, there is no mention there of any curse of dimensionality. Only more recently Ramdas et al.
Arias-Castro, Ery +2 more
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Testing goodness-of-fit of random graph models [PDF]
Random graphs are matrices with independent 0, 1 elements with probabilities determined by a small number of parameters. One of the oldest model is the Rasch model where the odds are ratios of positive numbers scaling the rows and columns.
Csiszár, Villö +5 more
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Goodness-of-Fit Tests on Manifolds [PDF]
We develop a general theory for the goodness-of-fit test to non-linear models. In particular, we assume that the observations are noisy samples of a submanifold defined by a \yao{sufficiently smooth non-linear map}. The observation noise is additive Gaussian.
Alexander Shapiro, Yao Xie, Rui Zhang
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The Information Geometry of Sparse Goodness-of-Fit Testing
This paper takes an information-geometric approach to the challenging issue of goodness-of-fit testing in the high dimensional, low sample size context where—potentially—boundary effects dominate. The main contributions of this paper are threefold: first,
Paul Marriott +3 more
doaj +1 more source
Statistical mediation analysis is used to investigate mechanisms through which a randomized intervention causally affects an outcome variable. Mediation analysis is often carried out in a pretest-posttest control group design because it is a common ...
Matthew J. Valente +2 more
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Asymptotically distribution-free goodness-of-fit testing for tail copulas [PDF]
Let $(X_1,Y_1),\ldots,(X_n,Y_n)$ be an i.i.d. sample from a bivariate distribution function that lies in the max-domain of attraction of an extreme value distribution.
Can, Sami Umut +3 more
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Testing Goodness-of-Fit with the Kernel Density Estimator: GoFKernel
To assess the goodness-of-fit of a sample to a continuous random distribution, the most popular approach has been based on measuring, using either L∞ - or L2 -norms, the distance between the null hypothesis cumulative distribution function and the ...
Jose M. Pavia
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sphstat: A Python package for inferential statistics on vectorial data on the unit sphere
Data that resides on the surface of a 2-sphere is common in various scientific fields, including physics, earth sciences, astronomy, and psychoacoustics.
Hüseyin Hacıhabiboğlu
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Testing Multivariate Normality Based on F-Representative Points
The multivariate normal is a common assumption in many statistical models and methodologies for high-dimensional data analysis. The exploration of approaches to testing multivariate normality never stops.
Sirao Wang +3 more
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