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Generalized estimating equation (GEE) is widely adopted for regression modeling for longitudinal data, taking account of potential correlations within the same subjects. Although the standard GEE assumes common regression coefficients among…

统计方法学 · 统计学 2022-07-11 Tsubasa Ito , Shonosuke Sugasawa

Large Language Models (LLMs) have achieved remarkable success across a wide range of natural language tasks, but often exhibit overconfidence and generate plausible yet incorrect answers. This overconfidence, especially in models undergone…

计算与语言 · 计算机科学 2025-12-24 Zeguan Xiao , Diyang Dou , Boya Xiong , Yun Chen , Guanhua Chen

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

统计方法学 · 统计学 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

Generalized estimating equations (GEE) are widely used to analyze longitudinal data; however, they are not appropriate for heteroscedastic data, because they only estimate regressor effects on the mean response{\textemdash}and therefore do…

统计方法学 · 统计学 2020-12-29 Amadou Barry , Karim Oualkacha , Arthur Charpentier

In clinical trials involving paired organs such as eyes, ears, and kidneys, binary outcomes may be collected bilaterally or unilaterally. In such combined datasets, bilateral outcomes exhibit intra-subject correlation, while unilateral…

统计方法学 · 统计学 2025-08-19 Jia Zhou , Chang-Xing Ma

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

统计方法学 · 统计学 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

We consider goodness-of-fit tests of symmetric stable distributions based on weighted integrals of the squared distance between the empirical characteristic function of the standardized data and the characteristic function of the standard…

统计理论 · 数学 2009-01-06 Muneya Matsui , Akimichi Takemura

This paper proposes estimation and inference procedures for the quantiles of individual heterogeneous slope coefficients within panel data. We develop a two-step quantile estimation framework for analyzing heterogeneity in individual…

计量经济学 · 经济学 2026-05-26 Antonio F. Galvao , Ulrich Hounyo , Jiahao Lin

Statistical heterogeneity is a measure of how skewed the samples of a dataset are. It is a common problem in the study of differential privacy that the usage of a statistically heterogeneous dataset results in a significant loss of…

机器学习 · 计算机科学 2024-12-02 Mary Scott , Graham Cormode , Carsten Maple

Using a model of the environment and a value function, an agent can construct many estimates of a state's value, by unrolling the model for different lengths and bootstrapping with its value function. Our key insight is that one can treat…

This paper introduces a novel statistical framework for independent component analysis (ICA) of multivariate data. We propose methodology for estimating and testing the existence of mutually independent components for a given dataset, and a…

统计方法学 · 统计学 2013-06-21 David S. Matteson , Ruey S. Tsay

Modeling correlated or highly stratified multiple-response data becomes a common data analysis task due to modern data monitoring facilities and methods. Generalized estimating equations (GEE) is one of the popular statistical methods for…

统计方法学 · 统计学 2019-03-05 Zimu Chen , Zhanfeng Wang , Yuan-chin Ivan Chang

Agile development has now become a well-known approach to collaboration in professional work life. Both researchers and practitioners want validated tools to measure agility. This study sets out to validate an agile maturity measurement…

软件工程 · 计算机科学 2019-04-05 Lucas Gren , Richard Torkar , Robert Feldt

This paper proposes several tests of restricted specification in nonparametric instrumental regression. Based on series estimators, test statistics are established that allow for tests of the general model against a parametric or…

计量经济学 · 经济学 2019-09-24 Christoph Breunig

This paper provides some useful tests for fitting a parametric single-index regression model when covariates are measured with error and validation data is available. We propose two tests whose consistency rates do not depend on the…

统计方法学 · 统计学 2016-04-29 Hira L. Koul , Chuanlong Xie , Lixing Zhu

A common problem in numerous research areas, particularly in clinical trials, is to test whether the effect of an explanatory variable on an outcome variable is equivalent across different groups. In practice, these tests are frequently…

统计方法学 · 统计学 2024-05-03 Niklas Hagemann , Kathrin Möllenhoff

A random coefficient autoregressive process is deeply investigated in which the coefficients are correlated. First we look at the existence of a strictly stationary causal solution, we give the second-order stationarity conditions and the…

统计理论 · 数学 2018-03-29 Frédéric Proïa , Marius Soltane

Panel data analysis is an important topic in statistics and econometrics. Traditionally, in panel data analysis, all individuals are assumed to share the same unknown parameters, e.g. the same coefficients of covariates when the linear…

统计理论 · 数学 2017-06-09 Heng Lian , Xinghao Qiao , Wenyang Zhang

This paper presents a Bayesian framework for assessing the adequacy of a model without the necessity of explicitly enumerating a specific alternate model. A test statistic is developed for tracking the performance of the model across…

人工智能 · 计算机科学 2013-03-25 Kathryn Blackmond Laskey

We propose an information-theoretic alternative to the popular Cronbach alpha coefficient of reliability. Particularly suitable for contexts in which instruments are scored on a strictly nonnumeric scale, our proposed index is based on…

统计理论 · 数学 2015-01-19 Ernest Fokoue , Necla Gunduz
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