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We develop a class of tests for semiparametric vector autoregressive (VAR) models with unspecified innovation densities, based on the recent measure-transportation-based concepts of multivariate {\it center-outward ranks} and {\it signs}.…

统计理论 · 数学 2020-11-13 Marc Hallin , Davide La Vecchia , Hang Liu

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

统计理论 · 数学 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

This paper introduces chi-square goodness-of-fit tests to check for conditional distribution model specification. The data is cross-classified according to the Rosenblatt transform of the dependent variable and the explanatory variables,…

计量经济学 · 经济学 2023-09-25 Miguel A. Delgado , Julius Vainora

We consider the problem of testing the equality of conditional distributions of a response variable given a vector of covariates between two populations. Such a hypothesis testing problem can be motivated from various machine learning and…

统计方法学 · 统计学 2023-02-24 Xiaoyu Hu , Jing Lei

We propose in this work an original estimator of the conditional intensity of a marker-dependent counting process, that is, a counting process with covariates. We use model selection methods and provide a non asymptotic bound for the risk…

统计理论 · 数学 2008-10-24 F. Comte , S. Gaïffas , A. Guilloux

Using cumulative residual processes, we propose joint goodness-of-fit tests for conditional means and variances functions in the context of nonlinear time series with martingale difference innovations. The main challenge comes from the fact…

统计方法学 · 统计学 2021-07-02 Kilani Ghoudi , Naâmane Laïb , Mohamed Chaouch

This paper considers a class of nonparametric autoregressive models with nonstationarity. We propose a nonparametric kernel test for the conditional mean and then establish an asymptotic distribution of the proposed test. Both the setting…

统计理论 · 数学 2009-11-20 Jiti Gao , Maxwell King , Zudi Lu , Dag Tjøstheim

This paper proposes a novel two-step strategy for testing the goodness-of-fit of parametric regression models in ultra-high dimensional sparse settings, where the predictor dimension far exceeds the sample size. This regime usually renders…

统计方法学 · 统计学 2025-12-30 Falong Tan , Jie Liu , Heng Peng , Lixing Zhu

We propose a new lack-of-fit test for quantile regression models that is suitable even with high-dimensional covariates. The test is based on the cumulative sum of residuals with respect to unidimensional linear projections of the…

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

Semiparametric models are often considered for analyzing longitudinal data for a good balance between flexibility and parsimony. In this paper, we study a class of marginal partially linear quantile models with possibly varying…

统计理论 · 数学 2009-11-19 Huixia Judy Wang , Zhongyi Zhu , Jianhui Zhou

We propose the goodness of fit test for inhomogeneous Poisson processes with unknown scale and shift parameters. A test statistic of Cramer-von Mises type is proposed and its asymptotic behavior is studied. We show that under null…

统计理论 · 数学 2018-06-19 A. S. Dabye , Yu. A. Kutoyants , E. D. Tanguep

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…

This paper considers estimation for linear regression analysis with covariate measurement error arising from Poisson surrogates. We consider cases where covariates follow a conditional Poisson distribution, capturing non-Gaussian and…

统计理论 · 数学 2025-09-08 Aijun Yang , Mary Lesperance , Farouk S. Nathoo

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

In this work we propose a framework for constructing goodness of fit tests in both low and high-dimensional linear models. We advocate applying regression methods to the scaled residuals following either an ordinary least squares or Lasso…

统计方法学 · 统计学 2017-04-11 Rajen D. Shah , Peter Bühlmann

We consider goodness-of-fit methods for multivariate symmetric and asymmetric stable Paretian random vectors in arbitrary dimension. The methods are based on the empirical characteristic function and are implemented both in the i.i.d.…

统计理论 · 数学 2023-12-20 Simos G. Meintanis , John P. Nolan , Charl Pretorius

Considering two independent Poisson processes, we address the question of testing equality of their respective intensities. We first propose single tests whose test statistics are U-statistics based on general kernel functions. The…

统计理论 · 数学 2012-11-15 Magalie Fromont , Béatrice Laurent , Patricia Reynaud-Bouret

There are numerous applications which involve modeling multi-dimensional count data, notably in actuarial science and risk management. When such data exhibit an excess of zeros, common count models are no longer suitable. With multivariate…

统计方法学 · 统计学 2025-09-30 Golshid Aflaki , Juliana Schulz , Jean-François Plante

Tests for proportional hazards assumption concerning specified covariates or groups of covariates are proposed. The class of alternatives is wide: log-hazard rates under different values of covariates may cross, approach, go away. The data…

统计理论 · 数学 2020-01-20 Vilijandas Bagdonavičius , Rūta Levulienė