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This paper studies the high-dimensional mixed linear regression (MLR) where the output variable comes from one of the two linear regression models with an unknown mixing proportion and an unknown covariance structure of the random…

统计方法学 · 统计学 2020-11-10 Linjun Zhang , Rong Ma , T. Tony Cai , Hongzhe Li

Variational inference is a general approach for approximating complex density functions, such as those arising in latent variable models, popular in machine learning. It has been applied to approximate the maximum likelihood estimator and…

统计方法学 · 统计学 2018-04-19 Yen-Chi Chen , Y. Samuel Wang , Elena A. Erosheva

Estimating confidence intervals in small or noisy datasets is a challenge in biomolecular research when data contain outliers or high variability. We introduce a robust method combining a hybrid bootstrap procedure with Steiner's most…

核实验 · 物理学 2025-11-04 Victor V. Golovko

The bootstrap is a popular method of constructing confidence intervals due to its ease of use and broad applicability. Theoretical properties of bootstrap procedures have been established in a variety of settings. However, there is limited…

统计理论 · 数学 2024-04-19 Zhou Tang , Ted Westling

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

统计方法学 · 统计学 2025-03-14 Matteo D'Alessandro , Magne Thoresen

A popular way to estimate the parameters of a hidden Markov model (HMM) is direct numerical maximization (DNM) of the (log-)likelihood function. The advantages of employing the TMB (Kristensen et al., 2016) framework in R for this purpose…

统计计算 · 统计学 2023-05-16 Timothée Bacri , Geir D. Berentsen , Jan Bulla , Bård Støve

Linear mixed effects are considered excellent predictors of cluster-level parameters in various domains. However, previous work has shown that their performance can be seriously affected by departures from modelling assumptions. Since the…

统计方法学 · 统计学 2022-07-27 Katarzyna Reluga , Stefan Sperlich

A very common way to estimate the parameters of a hidden Markov model (HMM) is the relatively straightforward computation of maximum likelihood (ML) estimates. For this task, most users rely on user-friendly implementation of the estimation…

统计计算 · 统计学 2022-05-10 Timothée Bacri , Geir D. Berentsen , Jan Bulla , Sondre Hølleland

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

计量经济学 · 经济学 2022-01-28 Ayden Higgins , Koen Jochmans

BACKGROUND: Random-effects meta-analysis within a hierarchical normal modeling framework is commonly implemented in a wide range of evidence synthesis applications. More general problems may even be tackled when considering meta-regression…

统计计算 · 统计学 2022-12-27 Christian Röver , Tim Friede

We present a (selective) review of recent frequentist high-dimensional inference methods for constructing $p$-values and confidence intervals in linear and generalized linear models. We include a broad, comparative empirical study which…

统计方法学 · 统计学 2015-12-11 Ruben Dezeure , Peter Bühlmann , Lukas Meier , Nicolai Meinshausen

Data on rates, percentages or proportions arise frequently in many different applied disciplines like medical biology, health care, psychology and several others. In this paper, we develop a robust inference procedure for the beta…

统计方法学 · 统计学 2018-01-16 Abhik Ghosh

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

统计方法学 · 统计学 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

The maximum likelihood estimator in nonlinear panel data models with interactive fixed effects is biased. Several bias correction methods, such as analytical and jackknife approaches, have been proposed to enable valid inference. This paper…

计量经济学 · 经济学 2026-04-30 Haoyuan Xu , Wei Miao , Geert Dhaene , Jad Beyhum

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

统计方法学 · 统计学 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

While widely used as a general method for uncertainty quantification, the bootstrap method encounters difficulties that raise concerns about its validity in practical applications. This paper introduces a new resampling-based method, termed…

统计方法学 · 统计学 2024-08-30 Yiran Jiang , Chuanhai Liu , Heping Zhang

Missing data on response variables are common in clinical studies. Corresponding to the uncertainty of missing mechanism, theoretical frameworks on controlled imputation have been developed. In practice, it is recommended to conduct a…

统计方法学 · 统计学 2022-03-08 Tony Wang , Ying Liu

We derive the closed-form restricted maximum likelihood (REML) estimator and Kenward-Roger's variance estimator for fixed effects in the mixed effects model for repeated measures (MMRM) when the missing data pattern is monotone. As an…

统计方法学 · 统计学 2017-06-06 Yongqiang Tang

This paper describes an R package implementing large sample tests and confidence intervals (based on the central limit theorem) for various parameters. The one and two sample mean and variance contexts are considered. The statistics for all…

G-computation has become a widely used robust method for estimating unconditional (marginal) treatment effects with covariate adjustment in the analysis of randomized clinical trials. Statistical inference in this context typically relies…

统计方法学 · 统计学 2025-03-18 Xin Zhang , Haitao Chu , Lin Liu , Satrajit Roychoudhury