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An Exhaustive Power Comparison of Normality Tests
A goodness-of-fit test is a frequently used modern statistics tool. However, it is still unclear what the most reliable approach is to check assumptions about data set normality. A particular data set (especially with a small number of observations) only
Jurgita Arnastauskaitė +2 more
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A Simple Goodness-of-Fit Test for Continuous Conditional Distributions
This paper presents a pragmatic specification test for conditional continuous distributions with uncensored data. We employ Monte Carlo (MC) experiments and the 2011 Medical Expenditure Panel Survey data to examine coverage and power to discern ...
Peter J. Veazie, Zhiqiu Ye
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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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A note on goodness of fit test using moments
The purpose of this article is to introduce a general moment-based approach to derive formal goodness of fit tests of a parametric family. We show that, in general, an approximate normal test or a chi-squared test can be derived by exploring the moment ...
Alex Papadopoulos, Gang Li
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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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Evaluating the Three Methods of Goodness of Fit Test for Frequency Analysis [PDF]
In hydrological statistics, the traditional assessment of goodness of fit test is interested in the testing precision to the sample generated from supposed PDF.
Xiankui Zeng, Dong Wang, Jichun Wu
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Goodness of Fit Test of an Autocorrelated Time Series Cubic Smoothing Spline Model
We investigated the finite properties as well as the goodness of fit test for the cubic smoothing spline selection methods like the Generalized Maximum Likelihood (GML), Generalized Cross-Validation (GCV) and Mallow CP criterion (MCP) estimators for time-
Samuel Olorunfemi Adams +2 more
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A New Goodness of Fit Test for Multivariate Normality and Comparative Simulation Study
The testing of multivariate normality remains a significant scientific problem. Although it is being extensively researched, it is still unclear how to choose the best test based on the sample size, variance, covariance matrix and others.
Jurgita Arnastauskaitė +2 more
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Portmanteau Goodness-of-Fit Test for Asymmetric Power GARCH Models
The asymptotic distribution of a vector of autocorrelations of squared residuals is derived for a wide class of asymmetric GARCH models. Portmanteau adequacy tests are deduced.
Michel Carbon, Christian Francq
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Dynamic Robust Spectrum Sensing Based on Goodness-of-Fit Test Using Bilateral Hypotheses
Dynamic spectrum detection has attracted increasing interest in drone or drone controller detection problems. Spectrum sensing as a promising solution allows us to provide a dynamic spectrum map within the target frequency band by estimating the occupied
Shaoyang Men, Pascal Chargé, Zhe Fu
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