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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

The bivariate Poisson distribution is commonly used to model bivariate count data. In this paper we study a goodness-of-fit test for this distribution. We also provide a review of the existing tests for the bivariate Poisson distribution,…

统计理论 · 数学 2019-02-26 Francisco Novoa-Muñoz

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

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

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

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…

We consider the goodness of fit testing problem for stochastic differential equation with small diffiusion coefficient. The basic hypothesis is always simple and it is described by the known trend coefficient. We propose several tests of…

统计理论 · 数学 2009-03-27 Yury A. Kutoyants

In the present paper, we develop a new goodness-of-fit test for the Birnbaum- Saunders distribution based on the probability plot. We utilize the sample correlation coefficient from the Birnbaum-Saunders probability plot as a measure of…

应用统计 · 统计学 2023-08-22 Chanseok Park , Min Wang

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

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

We consider the goodness of fit testing problem for linear stochastic differential equation (Ornstein-Uhlenbeck process). The basic hypothesis is supposed to be composite with two-dimensional unknown parameter. We study two goodness of fit…

统计理论 · 数学 2013-05-16 Yury A. Kutoyants

Fitting mixture distributions is needed in applications where data belongs to inhomogeneous populations comprising homogeneous sub-populations. The mixing proportions of the sub populations are in general unknown and need to be estimated as…

统计方法学 · 统计学 2019-12-10 Richard A. Lockhart , Chandanie W. Navaratna

This article proposes a class of goodness-of-fit tests for the autocorrelation function of a time series process, including those exhibiting long-range dependence. Test statistics for composite hypotheses are functionals of a (approximated)…

统计理论 · 数学 2007-06-13 Miguel A. Delgado , Javier Hidalgo , Carlos Velasco

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

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…

This paper introduces a novel goodness-of-fit test technique for parametric conditional distributions. The proposed tests are based on a residual marked empirical process, for which we develop a conditional Principal Component Analysis. The…

计量经济学 · 经济学 2025-06-18 Cui Rui , Li Yuhao

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

The Functional Linear Model with Functional Response (FLMFR) is one of the most fundamental models to assess the relation between two functional random variables. In this paper, we propose a novel goodness-of-fit test for the FLMFR against…

The Gaussian graphical model is routinely employed to model the joint distribution of multiple random variables. The graph it induces is not only useful for describing the relationship between random variables but also critical for…

统计方法学 · 统计学 2022-12-15 Thien-Minh Le , Ping-Shou Zhong , Chenlei Leng
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