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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…

Two new goodness of fit tests for the Pareto type-I distribution for complete and right censored data are proposed using fixed point characterization based on Steins type identity. The asymptotic distributions of the test statistics under…

统计方法学 · 统计学 2024-08-30 Avhad Ganesh Vishnu , Ananya Lahiri , Sudheesh K. Kattumannil

We introduce a new framework for constructing tests of general semiparametric hypotheses which have nontrivial power on the $n^{-1/2}$ scale in every direction, and can be tailored to put substantial power on alternatives of importance. The…

统计理论 · 数学 2007-06-13 Peter J. Bickel , Ya'acov Ritov , Thomas M. Stoker

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…

Despite the wide usage of parametric point processes in theory and applications, a sound goodness-of-fit procedure to test whether a given parametric model is appropriate for data coming from a self-exciting point processes has been missing…

统计理论 · 数学 2024-07-15 José C. F. Kling , Mathias Vetter

The characterization of covariate effects on model parameters is a crucial step during pharmacokinetic/pharmacodynamic analyses. While covariate selection criteria have been studied extensively, the choice of the functional relationship…

统计方法学 · 统计学 2024-04-09 Niklas Hartung , Martin Wahl , Abhishake Rastogi , Wilhelm Huisinga

Let $(Y,(X_i)_{i\in\mathcal{I}})$ be a zero mean Gaussian vector and $V$ be a subset of $\mathcal{I}$. Suppose we are given $n$ i.i.d. replications of the vector $(Y,X)$. We propose a new test for testing that $Y$ is independent of…

统计理论 · 数学 2008-05-23 Nicolas Verzelen , Fanny Villers

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

We introduce a new characterization of Pareto distribution and construct integral and supremum type goodness-of-fit tests based on it. Limiting distribution and large deviations of new statistics are described and their local Bahadur…

统计理论 · 数学 2014-08-21 K. Yu. Volkova

We propose a nonparametric statistical test for goodness-of-fit: given a set of samples, the test determines how likely it is that these were generated from a target density function. The measure of goodness-of-fit is a divergence…

机器学习 · 统计学 2016-09-28 Kacper Chwialkowski , Heiko Strathmann , Arthur Gretton

We consider goodness-of-fit tests for the distribution of the composed error in Stochastic Frontier Models. The proposed test statistic utilizes the characteristic function of the composed error term, and is formulated as a weighted…

统计理论 · 数学 2022-03-01 Simos G. Meintanis , Christos K. Papadimitriou

We consider a linear regression model and propose an omnibus test to simultaneously check the assumption of independence between the error and the predictor variables, and the goodness-of-fit of the parametric model. Our approach is based…

统计方法学 · 统计学 2014-05-06 Arnab Sen , Bodhisattva Sen

We consider goodness-of-fit tests for uniformity of a multinomial distribution by means of tests based on a class of symmetric statistics, defined as the sum of some function of cell-frequencies. We are dealing with an asymptotic regime,…

统计理论 · 数学 2022-11-03 Sherzod M Mirakhmedov

In this paper we present a new characterization of Pareto distribution and consider goodness of fit tests based on it. We provide an integral and Kolmogorov- Smirnov type statistics based on U-statistics and we calculate Bahadur efficiency…

统计理论 · 数学 2015-12-31 Marko Obradović , Milan Jovanović , Bojana Milošević

We introduce a general framework for testing goodness-of-fit for Gaussian graphical models in both the low- and high-dimensional settings. This framework is based on a novel algorithm for generating exchangeable copies by conditioning on…

统计方法学 · 统计学 2025-01-07 Xiaotong Lin , Weihao Li , Fangqiao Tian , Dongming Huang

The Gini index is a popular inequality measure with many applications in social and economic studies. This paper studies semiparametric inference on the Gini indices of two semicontinuous populations. We characterize the distribution of…

统计理论 · 数学 2021-06-08 Meng Yuan , Pengfei Li , Changbao Wu

Inference on the parametric part of a semiparametric model is no trivial task. If one approximates the infinite dimensional part of the semiparametric model by a parametric function, one obtains a parametric model that is in some sense…

统计理论 · 数学 2025-09-23 Adam Lee , Emil A. Stoltenberg , Per A. Mykland

Given two candidate models, and a set of target observations, we address the problem of measuring the relative goodness of fit of the two models. We propose two new statistical tests which are nonparametric, computationally efficient…

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 paper we consider autoregressive models with conditional autoregressive variance, including the case of homoscedastic AR-models and the case of ARCH models. Our aim is to test the hypothesis of normality for the innovations in a…

统计方法学 · 统计学 2012-11-07 Natalie Neumeyer , Leonie Selk