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Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

统计理论 · 数学 2015-08-18 M. Wojtyś , G. Marra

We consider linear structural equation models that are associated with mixed graphs. The structural equations in these models only involve observed variables, but their idiosyncratic error terms are allowed to be correlated and…

统计计算 · 统计学 2017-10-10 Y. Samuel Wang , Mathias Drton

We consider high-dimensional estimation problems where the number of parameters diverges with the sample size. General conditions are established for consistency, uniqueness, and asymptotic normality in both unpenalized and penalized…

统计理论 · 数学 2025-04-08 Jana Gauss , Thomas Nagler

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

统计理论 · 数学 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

Many experiments can be interpreted in terms of random processes operating according to some internal protocols. When experiments are costly or cannot be repeated only one or a few finite samples are available. In this paper we study data…

数据分析、统计与概率 · 物理学 2016-02-02 Marian Kupczynski , Hans De Raedt

A popular setting in medical statistics is a group sequential trial with independent and identically distributed normal outcomes, in which interim analyses of the sum of the outcomes are performed. Based on a prescribed stopping rule, one…

统计理论 · 数学 2018-04-03 Ben Berckmoes , Anna Ivanova , Geert Molenberghs

Unnormalized (or energy-based) models provide a flexible framework for capturing the characteristics of data with complex dependency structures. However, the application of standard Bayesian inference methods has been severely limited…

统计方法学 · 统计学 2026-03-11 Naruki Sonobe , Shonosuke Sugasawa , Daichi Mochihashi , Takeru Matsuda

Many types of bounded data defined on the unit interval arise naturally as ratios of the form $X/(X + Y)$. In the existing literature, the main statistical models proposed for this type of bounded data typically based on the assumption that…

统计方法学 · 统计学 2026-03-04 Roberto Vila , Felipe Quintino , Marcelo Bourguignon

Seemingly unrelated regression models generalize linear regression models by considering multiple regression equations that are linked by contemporaneously correlated disturbances. Robust inference for seemingly unrelated regression models…

统计方法学 · 统计学 2018-05-15 Kris Peremans , Stefan Van Aelst

The sample correlation coefficient $R$ plays an important role in many statistical analyses. We study the moments of $R$ under the bivariate Gaussian model assumption, provide a novel approximation for its finite sample mean and connect it…

统计理论 · 数学 2024-01-23 Daniel Salnikov

We introduce a generic class of dynamic nonlinear heterogeneous parameter models that incorporate individual and time fixed effects in both the intercept and slope. These models are subject to the incidental parameter problem, in that the…

计量经济学 · 经济学 2026-01-27 Xuan Leng , Jiaming Mao , Yutao Sun

Estimation and inference on causal parameters is typically reduced to a generalized method of moments problem, which involves auxiliary functions that correspond to solutions to a regression or classification problem. Recent line of work on…

计量经济学 · 经济学 2022-11-16 Qizhao Chen , Vasilis Syrgkanis , Morgane Austern

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

统计理论 · 数学 2019-12-24 Natsuki Kariya , Sumio Watanabe

A reduced-rank mixed effects model is developed for robust modeling of sparsely observed paired functional data. In this model, the curves for each functional variable are summarized using a few functional principal components, and the…

统计方法学 · 统计学 2023-08-08 Huiya Zhou , Xiaomeng Yan , Lan Zhou

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…

统计方法学 · 统计学 2022-01-21 Jiancheng Jiang , Jiang Xuejun , Wang Haofeng

In this paper, an information theoretic analysis on non-adaptive group testing schemes based on sparse pooling graphs is presented. The binary status of the objects to be tested are modeled by i.i.d. Bernoulli random variables with…

信息论 · 计算机科学 2013-04-29 Tadashi Wadayama

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

This paper proposes the asymmetric linear double autoregression, which jointly models the conditional mean and conditional heteroscedasticity characterized by asymmetric effects. A sufficient condition is established for the existence of a…

统计方法学 · 统计学 2021-04-22 Songhua Tan , Qianqian Zhu

Nonprobability (convenience) samples are increasingly sought to stabilize estimations for one or more population variables of interest that are performed using a randomized survey (reference) sample by increasing the effective sample size.…

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

统计理论 · 数学 2009-03-05 Dong Wang , Song Xi Chen