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This paper considers the Liu estimator in the multinomial logistic regression model. We propose some different estimators of the biasing parameter. The mean square error (MSE) is considered as the performance criterion. In order to compare…

统计方法学 · 统计学 2021-11-08 Yasin Asar , Murat Erişoğlu

Missing data are ubiquitous in empirical databases, yet statistical analyses typically require complete data matrices. Multiple imputation offers a principled solution for filling these gaps. This study evaluates the performance of several…

统计计算 · 统计学 2026-02-05 Enzo Porto Brasil

A constrained multivariate linear model is a multivariate linear model with the columns of its coefficient matrix constrained to lie in a known subspace. This class of models includes those typically used to study growth curves and…

统计方法学 · 统计学 2021-01-05 Dennis Cook , Liliana Forzani , Lan Liu

For the last two decades, high-dimensional data and methods have proliferated throughout the literature. Yet, the classical technique of linear regression has not lost its usefulness in applications. In fact, many high-dimensional…

The variance of noise plays an important role in many change-point detection procedures and the associated inferences. Most commonly used variance estimators require strong assumptions on the true mean structure or normality of the error…

统计方法学 · 统计学 2023-11-17 Ning Hao , Yue Selena Niu , Han Xiao

We study the bias of classical quantile regression and instrumental variable quantile regression estimators. While being asymptotically first-order unbiased, these estimators can have non-negligible second-order biases. We derive a…

计量经济学 · 经济学 2025-12-17 Grigory Franguridi , Bulat Gafarov , Kaspar Wuthrich

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

统计方法学 · 统计学 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

In real data, missing values occur frequently, which affects the interpretation with interpretable machine learning (IML) methods. Recent work considers bias and shows that model explanations may differ between imputation methods, while…

机器学习 · 统计学 2025-12-22 Pegah Golchian , Marvin N. Wright

The continuous extension of a discrete random variable is amongst the computational methods used for estimation of multivariate normal copula-based models with discrete margins. Its advantage is that the likelihood can be derived…

统计方法学 · 统计学 2014-11-10 Aristidis K. Nikoloulopoulos

We consider logistic regression including two sets of discrete or categorical covariates that are missing at random (MAR) separately or simultaneously. We examine the asymptotic properties of two multiple imputation (MI) estimators, given…

统计方法学 · 统计学 2023-12-19 Phuoc-Loc Tran , Shen-Ming Lee , Truong-Nhat Le , Chin-Shang Li

We provide guidance on multiple imputation of missing at random treatments in observational studies. Specifically, analysts should account for both covariates and outcomes, i.e., not just use propensity scores, when imputing the missing…

统计方法学 · 统计学 2025-01-23 Joseph Feldman , Jerome P. Reiter

Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

统计方法学 · 统计学 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

Our article addresses the problem of flexibly estimating a multivariate density while also attempting to estimate its marginals correctly. We do so by proposing two new estimators that try to capture the best features of mixture of normals…

统计方法学 · 统计学 2009-01-05 Paolo Giordani , Xiuyan Mun , Robert Kohn

When the experimental data set is contaminated, we usually employ robust alternatives to common location and scale estimators such as the sample median and Hodges-Lehmann estimators for location and the sample median absolute deviation and…

统计方法学 · 统计学 2020-08-11 Chanseok Park , Haewon Kim , Min Wang

Quantitative measurements produced by mass spectrometry proteomics experiments offer a direct way to explore the role of proteins in molecular mechanisms. However, analysis of such data is challenging due to the large proportion of missing…

统计方法学 · 统计学 2025-01-22 Haeun Moon , Jin-Hong Du , Jing Lei , Kathryn Roeder

This paper discusses regularized estimators in the multivariate statistical model as tools naturally arising within a Bayesian framework. First, a link is established between Bayesian estimation and inference under parameter rounding…

统计方法学 · 统计学 2025-09-15 Jan Kalina

The paper proposes some robust estimators of the finite population mean. Such estimators are particularly suitable in the presence of some outlying observations. Included as special cases of our general result are robust versions of the…

统计理论 · 数学 2008-12-18 Malay Ghosh

This paper provides clear and practical guidance on the specification of imputation models when multiple imputation is used in conjunction with doubly robust estimation methods for causal inference. Through theoretical arguments and…

统计方法学 · 统计学 2025-12-19 Lucy D'Agostino McGowan

This paper develops a multifidelity method that enables estimation of failure probabilities for expensive-to-evaluate models via information fusion and importance sampling. The presented general fusion method combines multiple probability…

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

统计方法学 · 统计学 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu