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相关论文: Goodness-of-fit Tests for the Bivariate Poisson Di…

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This paper presents and examines computationally convenient goodness-of-fit tests for the family of generalized Poisson distributions, which encompasses notable distributions such as the Compound Poisson and the Katz distributions. The…

统计方法学 · 统计学 2024-11-21 A. Batsidis , B. Milošević , M. D. Jiménez-Gamero

Bivariate count models having one marginal and the other conditionals being of the Poissons form are called pseudo-Poisson distributions. Such models have simple exible dependence structures, possess fast computation algorithms and generate…

应用统计 · 统计学 2023-06-08 Banoth Veeranna , B. G. Manjunath , B. Shobha

This paper studies the goodness of fit test for the bivariate Hermite distribution. Specifically, we propose and study a Cram\'er-von Mises-type test based on the empirical probability generation function. The bootstrap can be used to…

统计理论 · 数学 2019-12-02 Pablo González-Albornoz , Francisco Novoa-Muñoz

A goodness-of-fit test for one-parameter count distributions with finite second moment is proposed. The test statistic is derived from the $L^1$ distance of a function of the probability generating function of the model under the null…

We consider the problem of goodness-of-fit testing for a model that has at least one unknown parameter that cannot be eliminated by transformation. Examples of such problems can be as simple as testing whether a sample consists of…

统计方法学 · 统计学 2021-04-28 Sean van der Merwe

Since its introduction in 1950, Fisher's dispersion test has become a standard means of deciding whether or not count data follow the Poisson distribution. The test is based on a characteristic property of the Poisson distribution, and…

应用统计 · 统计学 2025-03-21 Erekle Khurodze , Leigh A Roberts

A consistent goodness-of-fit test for distributional regression is introduced. The test statistic is based on a process that traces the difference between a nonparametric and a semi-parametric estimate of the marginal distribution function…

统计方法学 · 统计学 2025-10-10 Gitte Kremling , Gerhard Dikta

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…

统计方法学 · 统计学 2023-03-20 Lolian Shtembari , Allen Caldwell

In this work, the distributional properties of the goodness-of-fit term in likelihood-based information criteria are explored. These properties are then leveraged to construct a novel goodness-of-fit test for normal linear regression models…

统计方法学 · 统计学 2023-09-20 Scott H. Koeneman , Joseph E. Cavanaugh

We propose new goodness-of-fit tests for the Poisson distribution. The testing procedure entails fitting a weighted Poisson distribution, which has the Poisson as a special case, to observed data. Based on sample data, we calculate an…

统计方法学 · 统计学 2024-02-21 Winnie Kirui , Elzanie Bothma , Marius Smuts , Anke Steyn , Jaco Visagie

A variety of statistics based on sample spacings has been studied in the literature for testing goodness-of-fit to parametric distributions. To test the goodness-of-fit to a nonparametric class of univariate shape-constrained densities,…

统计理论 · 数学 2024-10-28 Kwun Chuen Gary Chan , Hok Kan Ling , Chuan-Fa Tang , Sheung Chi Phillip Yam

This article describes an extension of classical \chi^2 goodness-of-fit tests to Bayesian model assessment. The extension, which essentially involves evaluating Pearson's goodness-of-fit statistic at a parameter value drawn from its…

统计理论 · 数学 2007-06-13 Valen E. Johnson

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…

统计方法学 · 统计学 2012-10-08 Ivan Kojadinovic , Jun Yan

Model checking plays an important role in linear regression as model misspecification seriously affects the validity and efficiency of regression analysis. In practice, model checking is often performed by subjectively evaluating the plot…

统计理论 · 数学 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

Characteristic-function based goodness-of-fit tests are suggested for multivariate observations. The test statistics, which are straightforward to compute, are defined as two-sample criteria measuring discrepancy between multivariate ranks…

统计理论 · 数学 2025-08-01 Zdeněk Hlávka , Šárka Hudecová , Simos G. Meintanis

In this paper, we address the problem of testing goodness-of-fit for discrete distributions, where we focus on the geometric distribution. We define new likelihood-based goodness-of-fit tests using the beta-geometric distribution and the…

统计理论 · 数学 2020-10-09 Rasmus Erlemann , Bo Henry Lindqvist

We introduce the \textit{almost goodness-of-fit} test, a procedure to assess whether a (parametric) model provides a good representation of the probability distribution generating the observed sample. Specifically, given a distribution…

统计方法学 · 统计学 2025-10-15 Amparo Baíllo , Javier Cárcamo

Logistic regression is widely used to model the propensity score in the analysis of nonignorable missing data. However, goodness-of-fit testing for this propensity score model has received limited attention in the literature. In this paper,…

统计方法学 · 统计学 2026-04-24 Manli Cheng , Yangjianchen Xu , Qinglong Tian , Pengfei Li

We propose an empirical likelihood test that is able to test the goodness of fit of a class of parametric and semi-parametric multiresponse regression models. The class includes as special cases fully parametric models; semi-parametric…

统计理论 · 数学 2010-01-12 Song Xi Chen , Ingrid Van Keilegom

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…

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