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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…

Methodology · Statistics 2025-10-10 Gitte Kremling , Gerhard Dikta

Stochastic frontier models have attracted considerable attention due to the incorporation of an inefficiency term in addition to the conventional error term. In this paper, we propose a general estimation framework for panel stochastic…

Econometrics · Economics 2026-04-22 Kazuki Tomioka , Thomas T. Yang , Xibin Zhang

We employ a general Monte Carlo method to test composite hypotheses of goodness-of-fit for several popular multivariate models that can accommodate both asymmetry and heavy tails. Specifically, we consider weighted L2-type tests based on a…

Methodology · Statistics 2023-03-09 Maicon J. Karling , Marc G. Genton , Simos G. Meintanis

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…

Statistics Theory · Mathematics 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

Despite the versatility of generalized linear mixed models in handling complex experimental designs, they often suffer from misspecification and convergence problems. This makes inference on the values of coefficients problematic. To…

Methodology · Statistics 2025-03-31 Angela Andreella , Jelle Goeman , Jesse Hemerik , Livio Finos

This study proposes a robust estimator for stochastic frontier models by integrating the idea of Basu et al. [1998, Biometrika 85, 549-559] into such models. We verify that the suggested estimator is strongly consistent and asymptotic…

Methodology · Statistics 2015-07-29 Junmo Song , Dong-hyun Oh , Jiwon Kang

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…

In the common nonparametric regression model the problem of testing for a specific parametric form of the variance function is considered. Recently Dette and Hetzler (2008) proposed a test statistic, which is based on an empirical process…

Statistics Theory · Mathematics 2008-09-30 H. Dette , B. Hetzler

We introduce a new class of algorithms, Stochastic Generalized Method of Moments (SGMM), for estimation and inference on (overidentified) moment restriction models. Our SGMM is a novel stochastic approximation alternative to the popular…

Econometrics · Economics 2023-11-01 Xiaohong Chen , Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin , Myunghyun Song

This paper discusses some problems possibly arising when approximating via Monte-Carlo simulations the distributions of goodness-of-fit test statistics based on the empirical distribution function. We argue that failing to re-estimate…

Data Analysis, Statistics and Probability · Physics 2008-04-01 Marco Capasso , Lucia Alessi , Matteo Barigozzi , Giorgio Fagiolo

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…

Methodology · Statistics 2023-03-20 Lolian Shtembari , Allen Caldwell

This article proposes omnibus portmanteau tests for contrasting adequacy of time series models. The test statistics are based on combining the autocorrelation function of the conditional residuals, the autocorrelation function of the…

Methodology · Statistics 2024-02-02 Esam Mahdi

In clinical trials, studies often present longitudinal data or clustered data. These studies are commonly analyzed using linear mixed models (LMMs), usually considering Gaussian assumptions for random effect and error terms. Recently,…

Methodology · Statistics 2021-09-28 Fernanda L. Schumacher , Larissa A. Matos , Celso R. B. Cabral

The recent emergence of heavily-optimized modal decision procedures has highlighted the key role of empirical testing in this domain. Unfortunately, the introduction of extensive empirical tests for modal logics is recent, and so far none…

Artificial Intelligence · Computer Science 2011-06-28 P. F. Patel-Schneider , R. Sebastiani

This paper presents a new methodology for structural reliability analysis via stochastic finite element method (SFEM). A novel sample-based SFEM is firstly used to compute structural stochastic responses of all spatial points at the same…

Computational Physics · Physics 2020-08-19 Zhibao Zheng

Stable distribution is one of the attractive models that well describes fat-tail behaviors and scaling phenomena in various scientific fields. The approach based upon the method of moments yields a simple procedure for estimating stable law…

Methodology · Statistics 2021-06-24 Shinji Kakinaka , Ken Umeno

We introduce Statistical Flow Matching (SFM), a novel and mathematically rigorous flow-matching framework on the manifold of parameterized probability measures inspired by the results from information geometry. We demonstrate the…

Machine Learning · Computer Science 2025-11-26 Chaoran Cheng , Jiahan Li , Jian Peng , Ge Liu

In this paper, we propose a method based on GMM (the generalized method of moments) to estimate the parameters of stable distributions with $0<\alpha<2$. We don't assume symmetry for stable distributions.

Statistics Theory · Mathematics 2007-06-13 Chunlin Wang

This paper introduces and analyzes a procedure called Testing-based forward model selection (TBFMS) in linear regression problems. This procedure inductively selects covariates that add predictive power into a working statistical model…

Statistics Theory · Mathematics 2020-04-07 Damian Kozbur

In this work, we introduce a deterministic frontier model in which efficiency is governed by the Matsuoka distribution, a parsimonious one-parameter specification on $(0,1)$ designed to reflect patterns typically observed in efficiency…

Methodology · Statistics 2026-01-14 Danilo Hiroshi Matsuoka , Guilherme Pumi , Hudson da Silva Torrent , Marcio valk