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Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that…

Methodology · Statistics 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

In this paper, we verify the large scale structure consistency relations using N-body simulations, including modes in the highly non-linear regime. These relations (pointed out by Kehagias & Riotto and Peloso & Pietroni) follow from the…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-30 Angelo Esposito , Lam Hui , Roman Scoccimarro

Meta-analysis combines pertinent information from existing studies to provide an overall estimate of population parameters/effect sizes, as well as to quantify and explain the differences between studies. However, testing the between-study…

Methodology · Statistics 2020-11-13 Han Du , Ge Jiang , Zijun Ke

Factor-based Structural Equation Modeling (SEM) relies on likelihood-based estimation assuming a nonsingular sample covariance matrix, which breaks down in small-sample settings with $p>n$. To address this, we propose a novel estimation…

Machine Learning · Computer Science 2026-04-21 Hiroki Hasegawa , Aoba Tamura , Yukihiko Okada

A factor model with a break in its factor loadings is observationally equivalent to a model without changes in the loadings but a change in the variance of its factors. This effectively transforms a structural change problem of high…

Econometrics · Economics 2023-12-06 Jushan Bai , Jiangtao Duan , Xu Han

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

Statistics Theory · Mathematics 2017-07-25 Abhik Ghosh , Ayanendranath Basu

This paper investigates the (conditional) quasi-likelihood ratio test for the threshold in MA models. Under the hypothesis of no threshold, it is shown that the test statistic converges weakly to a function of the centred Gaussian process.…

Statistics Theory · Mathematics 2007-06-13 Shiqing Ling , Howell Tong

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

Methodology · Statistics 2026-01-21 Peterson Mambondimumwe , Sphiwe B. Skhosana , Najmeh Nakhaei Rad

Score-based tests have been used to study parameter heterogeneity across many types of statistical models. This chapter describes a new self-normalization approach for score-based tests of mixed models, which addresses situations where…

Methodology · Statistics 2023-06-13 Ting Wang , Edgar Merkle

We propose a flexible and identifiable version of the two-groups model, motivated by hierarchical Bayes considerations, that features an empirical null and a semiparametric mixture model for the non-null cases. We use a computationally…

Methodology · Statistics 2012-06-26 Ryan Martin , Surya T. Tokdar

The analysis of large-scale datasets, especially in biomedical contexts, frequently involves a principled screening of multiple hypotheses. The celebrated two-group model jointly models the distribution of the test statistics with mixtures…

Methodology · Statistics 2023-03-10 Francesco Denti , Stefano Peluso , Michele Guindani , Antonietta Mira

Strong mixing property holds for a broad class of linear and nonlinear time series models such as ARMA and GARCH models. In this article we study correlation structure of strong mixing sequences, and some asymptotic properties are…

Statistics Theory · Mathematics 2012-03-02 Fatemeh Azizzadeh , Saeid Rezakhah

We consider a nonlinear polynomial regression model in which we wish to test the null hypothesis of structural stability in the regression parameters against the alternative of a break at an unknown time. We derive the extreme value…

Statistics Theory · Mathematics 2008-10-23 Alexander Aue , Lajos Horváth , Marie Hušková , Piotr Kokoszka

Modern data-driven and distributed learning frameworks deal with diverse massive data generated by clients spread across heterogeneous environments. Indeed, data heterogeneity is a major bottleneck in scaling up many distributed learning…

Machine Learning · Computer Science 2023-08-23 Amirhossein Reisizadeh , Khashayar Gatmiry , Asuman Ozdaglar

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

Methodology · Statistics 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen

We introduce fully nonparametric two-sample tests for testing the null hypothesis that the samples come from the same distribution if the values are only indirectly given via current status censoring. The tests are based on the likelihood…

Statistics Theory · Mathematics 2013-07-12 Piet Groeneboom

In this article, a novel identification test is proposed, which can be applied to parameteric models such as Mixture of Normal (MN) distributions, Markow Switching(MS), or Structural Autoregressive (SVAR) models. In the approach, it is…

Methodology · Statistics 2022-06-09 Katarzyna Maciejowska

We study the problems of sequential nonparametric two-sample and independence testing. Sequential tests process data online and allow using observed data to decide whether to stop and reject the null hypothesis or to collect more data,…

Machine Learning · Statistics 2023-07-21 Aleksandr Podkopaev , Aaditya Ramdas

A vast amount of expert and domain knowledge is captured by causal structural priors, yet there has been little research on testing such priors for generalization and data synthesis purposes. We propose a novel model architecture, Causal…

Machine Learning · Computer Science 2022-11-08 Jeffrey Jiang , Omead Pooladzandi , Sunay Bhat , Gregory Pottie

Nested simulation encompasses the estimation of functionals linked to conditional expectations through simulation techniques. In this paper, we treat conditional expectation as a function of the multidimensional conditioning variable and…

Statistics Theory · Mathematics 2025-04-16 Ruoxue Liu , Liang Ding , Wenjia Wang , Lu Zou