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Goodness-of-Fit Tests in Nonparametric Regression [PDF]
AMS classifications: 62G08, 62G10, 62G20, 62G30; 60F17.
Einmahl, J.H.J., Keilegom, I. van
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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 0001 +2 more
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A new Cramèr–von Mises Goodness-of-fit test under Uncertainty [PDF]
The Cramer-von Mises test is commonly used to determine how well-observed sample data fits a given model. The existing Cramer-von Mises test under traditional statistics is commonly used when sample data in reliability work are resolute and precise.
Muhammad Ahsan-ul-Haq
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Goodness-of-Fit Test for the Bivariate Hermite Distribution
This paper studies the goodness of fit test for the bivariate Hermite distribution. Specifically, we propose and study a Cramér–von Mises-type test based on the empirical probability generation function. The bootstrap can be used to consistently estimate
Pablo González-Albornoz +1 more
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How to use χ2 test correctly—— the goodness of fit tests and the implementation of the SAS software
The purpose of this article was to introduce the goodness of fit test and its SAS implementation. The main contents included the following four aspects: ① Pearson΄s goodness of fit test; ② deviance or likelihood ratio goodness of fit test; ③ Hosmer ...
Hu Chunyan, Hu Liangping
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A Goodness-of-Fit Test Based on Fuzzy Random Variables
During the last decades, several methods have been proposed for Kolmogorov−Smirnov one-sample test based on fuzzy random variables to describe the impression of classical random variables. However, such techniques do not discuss the modeling of imprecise
Gholamreza Hesamian +2 more
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A Novel Goodness-of-Fit Test for Cauchy Distribution
Recently, several goodness-of-fit tests for Cauchy distribution have been introduced based on Kullback–Leibler divergence and likelihood ratio. It is claimed that these tests are more powerful than the well-known goodness-of-fit tests such as Kolmogorov ...
A. Pekgör
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A Multi-Aspect Permutation Test for Goodness-of-Fit Problems
Parametric techniques commonly rely on specific distributional assumptions. It is therefore fundamental to preliminarily identify the eventual violations of such assumptions. Therefore, appropriate testing procedures are required for this purpose to deal
Rosa Arboretti +5 more
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Tuning goodness-of-fit tests† [PDF]
10 pages, 11 ...
A Arrasmith, B Follin, E Anderes, L Knox
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Monkeying with the Goodness-of-Fit Test
The familiar Σ(OBS - EXP) 2/EXP goodness-of-fit measure is commonly used to test whether an observed sequence came from the realization of n independent identically distributed (iid) discrete random variables.
George Marsaglia
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