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A common practice in IV studies is to check for instrument strength, i.e. its association to the treatment, with an F-test from regression. If the F-statistic is above some threshold, usually 10, the instrument is deemed to satisfy one of…

Methodology · Statistics 2020-03-17 Nan Bi , Hyunseung Kang , Jonathan Taylor

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

Methodology · Statistics 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

We consider the issue of performing accurate small-sample testing inference in beta regression models, which are useful for modeling continuous variates that assume values in $(0,1)$, such as rates and proportions. We derive the Bartlett…

Methodology · Statistics 2015-01-30 Fábio M. Bayer , Francisco Cribari-Neto

We propose an empirical likelihood ratio test for nonparametric model selection, where the competing models may be nested, nonnested, overlapping, misspecified, or correctly specified. It compares the squared prediction errors of models…

Methodology · Statistics 2022-01-21 Jiancheng Jiang , Jiang Xuejun , Wang Haofeng

This paper studies the problem of testing whether a system of linear equality and inequality constraints admits a solution when the coefficients of that system may have to be estimated. We show that a wide range of inferential questions in…

Econometrics · Economics 2026-05-11 Leonard Goff , Eric Mbakop

Variational inference is a general approach for approximating complex density functions, such as those arising in latent variable models, popular in machine learning. It has been applied to approximate the maximum likelihood estimator and…

Methodology · Statistics 2018-04-19 Yen-Chi Chen , Y. Samuel Wang , Elena A. Erosheva

A time-domain test for the assumption of second order stationarity of a functional time series is proposed. The test is based on combining individual cumulative sum tests which are designed to be sensitive to changes in the mean, variance…

Statistics Theory · Mathematics 2018-08-14 Axel Bücher , Holger Dette , Florian Heinrichs

We examine the problem of variance components testing in general mixed effects models using the likelihood ratio test. We account for the presence of nuisance parameters, i.e. the fact that some untested variances might also be equal to…

Methodology · Statistics 2024-05-27 Tom Guédon , Charlotte Baey , Estelle Kuhn

This paper studies the impact of bootstrap procedure on the eigenvalue distributions of the sample covariance matrix under a high-dimensional factor structure. We provide asymptotic distributions for the top eigenvalues of bootstrapped…

Statistics Theory · Mathematics 2023-11-21 Long Yu , Peng Zhao , Wang Zhou

Testing restrictions on regression coefficients in linear models often requires correcting the conventional F-test for potential heteroskedasticity or autocorrelation amongst the disturbances, leading to so-called heteroskedasticity and…

Statistics Theory · Mathematics 2016-12-21 David Preinerstorfer , Benedikt M. Pötscher

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

Statistics Theory · Mathematics 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

In order to test if an unknown matrix has a given rank (null hypothesis), we consider the family of statistics that are minimum squared distances between an estimator and the manifold of fixed-rank matrix. Under the null hypothesis, every…

Statistics Theory · Mathematics 2013-01-09 François Portier , Bernard Delyon

Hypothesis testing for the slope function in functional linear regression is of both practical and theoretical interest. We develop a novel test for the nullity of the slope function, where testing the slope function is transformed into…

Methodology · Statistics 2024-04-02 Yinan Lin , Zhenhua Lin

Finite mixtures of multivariate normal distributions have been widely used in empirical applications in diverse fields such as statistical genetics and statistical finance. Testing the number of components in multivariate normal mixture…

Statistics Theory · Mathematics 2019-02-11 Hiroyuki Kasahara , Katsumi Shimotsu

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…

Statistics Theory · Mathematics 2010-01-12 Song Xi Chen , Ingrid Van Keilegom

We propose a hypothesis test that allows for many tested restrictions in a heteroskedastic linear regression model. The test compares the conventional F statistic to a critical value that corrects for many restrictions and conditional…

Econometrics · Economics 2023-01-24 Stanislav Anatolyev , Mikkel Sølvsten

We develop theoretical finite-sample results concerning the size of wild bootstrap-based heteroskedasticity robust tests in linear regression models. In particular, these results provide an efficient diagnostic check, which can be used to…

Statistics Theory · Mathematics 2023-08-17 Benedikt M. Pötscher , David Preinerstorfer

This paper studies the joint inference on conditional volatility parameters and the innovation moments by means of bootstrap to test for the existence of moments for GARCH(p,q) processes. We propose a residual bootstrap to mimic the joint…

Econometrics · Economics 2019-07-11 Alexander Heinemann

This paper analyses the use of bootstrap methods to test for parameter change in linear models estimated via Two Stage Least Squares (2SLS). Two types of test are considered: one where the null hypothesis is of no change and the alternative…

Econometrics · Economics 2020-02-03 Otilia Boldea , Adriana Cornea-Madeira , Alastair R. Hall

Split-plot or repeated measures designs are frequently used for planning experiments in the life or social sciences. Typical examples include the comparison of different treatments over time, where both factors may possess an additional…

Statistics Theory · Mathematics 2017-10-13 Maria Umlauft , Marius Placzek , Frank Konietschke , Markus Pauly