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Falsification is the basis for testing existing hypotheses, and a great danger is posed when results incorrectly reject our prior notions (false positives). Though nonparametric and nonlinear exploratory methods of uncovering coupling…

Methodology · Statistics 2022-06-08 Ameer Ghouse , Gaetano Valenza

We consider semiparametric transformation models, where after pre-estimation of a parametric transformation of the response the data are modeled by means of nonparametric regression. We suggest subsequent procedures for testing lack-of-fit…

Methodology · Statistics 2019-01-25 Nick Kloodt , Natalie Neumeyer

We consider tests of hypotheses when the parameters are not identifiable under the null in semiparametric models, where regularity conditions for profile likelihood theory fail. Exponential average tests based on integrated profile…

Statistics Theory · Mathematics 2009-08-25 Rui Song , Michael R. Kosorok , Jason P. Fine

Comparing composite models for multi-component observational data is a prevalent scientific challenge. When fitting composite models, there exists the potential for systematics from a poor fit of one model component to be absorbed by…

Many popular statistical models for complex phenomena are intractable, in the sense that the likelihood function cannot easily be evaluated. Bayesian estimation in this setting remains challenging, with a lack of computational methodology…

Computation · Statistics 2015-03-31 Nial Friel , Antonietta Mira , Chris. J. Oates

We propose to model multivariate volatility processes based on the newly defined conditionally uncorrelated components (CUCs). This model represents a parsimonious representation for matrix-valued processes. It is flexible in the sense that…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Mingjin Wang , Qiwei Yao

We revisit the null distribution of the high-dimensional spatial-sign test of Wang et al. (2015) under mild structural assumptions on the scatter matrix. We show that the standardized test statistic converges to a non-Gaussian limit,…

Methodology · Statistics 2026-01-14 Ping Zhao , Long Feng

Let X; Z be r and s-dimensional covariates, respectively, used to model the response variable Y as Y = m(X;Z) + \sigma(X;Z)\epsilon. We develop an ANOVA-type test for the null hypothesis that Z has no influence on the regression function,…

Methodology · Statistics 2016-11-11 Adriano Zanin Zambom , Michael G. Akritas

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

A fast Bayesian method that seamlessly fuses classification and hypothesis testing via discriminant analysis is developed. Building upon the original discriminant analysis classifier, modelling components are added to identify…

Methodology · Statistics 2019-08-28 Weichang Yu , John T. Ormerod , Michael Stewart

The problem of testing equality of the entire second order structure of two independent functional linear processes is considered. A fully functional $L^2$-type test is developed which evaluates, over all frequencies, the Hilbert-Schmidt…

Methodology · Statistics 2020-04-15 Anne Leucht , Efstathios Paparoditis , Theofanis Sapatinas

We introduce and evaluate a new class of hypothesis testing procedures for moment structures. The methods are valid under weak assumptions and includes the well-known Satorra-Bentler adjustment as a special case. The proposed procedures…

Statistics Theory · Mathematics 2016-10-10 Steffen Grønneberg , Njål Foldnes

We consider the problem of testing the parametric form of the volatility for high frequency data. It is demonstrated that in the presence of microstructure noise commonly used tests do not keep the preassigned level and are inconsistent.…

Statistics Theory · Mathematics 2012-11-26 Mathias Vetter , Holger Dette

We propose a class of weighted $L_2$-type tests of fit to the Gamma distribution. Our novel procedure is based on a fixed point property of a new transformation connected to a Steinian characterization of the family of Gamma distributions.…

Methodology · Statistics 2020-02-25 Steffen Betsch , Bruno Ebner

We propose a novel method for testing the null hypothesis of no effect of a covariate on the response in the context of functional linear concurrent regression. We establish an equivalent random effects formulation of our functional…

Methodology · Statistics 2019-12-16 Rahul Ghosal , Arnab Maity

Hypothesis testing of structure in covariance matrices is of significant importance, but faces great challenges in high-dimensional settings. Although consistent frequentist one-sample covariance tests have been proposed, there is a lack of…

Methodology · Statistics 2020-07-22 Kyoungjae Lee , Lizhen Lin , David Dunson

This paper proposes a statistical verification framework using Gaussian processes (GPs) for simulation-based verification of stochastic nonlinear systems with parametric uncertainties. Given a small number of stochastic simulations, the…

Systems and Control · Computer Science 2017-10-03 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

The partially linear binary choice model can be used for estimating structural equations where nonlinearity may appear due to diminishing marginal returns, different life cycle regimes, or hectic physical phenomena. The inference procedure…

Econometrics · Economics 2023-12-01 Wenzheng Gao , Zhenting Sun

Logistic linear mixed model is widely used in experimental designs and genetic analysis with binary traits. Motivated by modern applications, we consider the case with many groups of random effects and each group corresponds to a variance…

Computation · Statistics 2017-11-15 Liuyi Hu , Wenbin Lu , Jin Zhou , Hua Zhou

We consider tests of significance in the setting of the graphical lasso for inverse covariance matrix estimation. We propose a simple test statistic based on a subsequence of the knots in the graphical lasso path. We show that this…

Statistics Theory · Mathematics 2013-07-24 Max Grazier G'Sell , Jonathan Taylor , Robert Tibshirani