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Smoothing of noisy sample covariances is an important component in functional data analysis. We propose a novel covariance smoothing method based on penalized splines and associated software. The proposed method is a bivariate spline…

统计方法学 · 统计学 2017-04-07 Luo Xiao , Cai Li , William Checkley , Ciprian M. Crainiceanu

Generalized linear regressions, such as logistic regressions or Poisson regressions, are long-studied regression analysis approaches, and their applications are widely employed in various classification problems. Our study considers a…

机器学习 · 统计学 2024-01-17 Vu Duc Anh , Tran Anh Tuan , Tran Ngoc Thang , Nguyen Thi Ngoc Anh

Identifying spatially contiguous clusters and repeated spatial patterns (RSP) characterized by similar underlying distributions that are spatially apart is a key challenge in modern spatial statistics. Existing constrained clustering…

统计方法学 · 统计学 2026-04-23 Rajitha Senanayake , Pratheepa Jeganathan

In many statistical modeling problems, such as classification and regression, it is common to encounter sparse and blocky coefficients. Sparse fused Lasso is specifically designed to recover these sparse and blocky structured features,…

统计理论 · 数学 2024-05-30 Xiaofei Wu , Rongmei Liang , Zhimin Zhang , Zhenyu Cui

Many conventional statistical procedures are extremely sensitive to seemingly minor deviations from modeling assumptions. This problem is exacerbated in modern high-dimensional settings, where the problem dimension can grow with and…

机器学习 · 统计学 2017-02-27 Simon S. Du , Sivaraman Balakrishnan , Aarti Singh

Accurately specifying covariance structures is critical for valid inference in longitudinal and functional data analysis, particularly when data are sparsely observed. In this study, we develop a global goodness-of-fit test to assess…

统计方法学 · 统计学 2025-03-31 Dhrubajyoti Ghosh , Zhuolin Song , Luo Xiao , Sheng Luo

We consider the problem of analyzing the heterogeneity of clustering distributions for multiple groups of observed data, each of which is indexed by a covariate value, and inferring global clusters arising from observations aggregated over…

统计方法学 · 统计学 2012-12-06 XuanLong Nguyen

We introduce a novel statistical significance-based approach for clustering hierarchical data using semi-parametric linear mixed-effects models designed for responses with laws in the exponential family (e.g., Poisson and Bernoulli). Within…

统计方法学 · 统计学 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

统计方法学 · 统计学 2021-07-07 Yinan Mao , David J. Nott

In demographic literature, forecast uncertainty is often quantified with a statistical model. This model-based approach may potentially suffer from drawbacks, namely model misspecification, selection effect, and lack of finite-sample…

应用统计 · 统计学 2026-05-29 Han Lin Shang

Finite mixture models have become a popular tool for clustering. Amongst other uses, they have been applied for clustering longitudinal data and clustering high-dimensional data. In the latter case, a latent Gaussian mixture model is…

统计方法学 · 统计学 2018-04-17 Vanessa S. E. Bierling , Paul D. McNicholas

In this paper we propose a model-based method for clustering subjects for which functional data together with covariates are observed. The model allows the covariance structures within the different clusters to be different. The model thus…

统计方法学 · 统计学 2019-04-24 Per Arnqvist , Sara Sjöstedt de Luna

Estimating effects of spatially structured exposures is complicated by unmeasured spatial confounders, which undermine identifiability in spatial linear regression models unless structural assumptions are imposed. We develop a general…

统计方法学 · 统计学 2025-12-30 Anik Burman , Elizabeth L. Ogburn , Abhirup Datta

Data and data sources have become increasingly essential in recent decades. Scientists and researchers require more data to deploy AI approaches as the field continues to improve. In recent years, the rapid technological advancements have…

图像与视频处理 · 电气工程与系统科学 2021-08-26 Necmettin Bayar , W. T Al-Shaibani , Ibraheem Shayea , Abdulkader Taha , Azizul Azizan

In this paper, we consider detecting and estimating breaks in heterogeneous mean functions of high-dimensional functional time series which are allowed to be cross-sectionally correlated and temporally dependent. A new test statistic…

统计方法学 · 统计学 2023-04-17 Degui Li , Runze Li , Han Lin Shang

In spatial regression models, collinearity between covariates and spatial effects can lead to significant bias in effect estimates. This problem, known as spatial confounding, is encountered modelling forestry data to assess the effect of…

统计方法学 · 统计学 2023-10-02 Emiko Dupont , Simon N. Wood , Nicole Augustin

This paper studies the covariance matrix estimation for high-dimensional time series within a new framework that combines low-rank factor and latent variable-specific cluster structures. The popular methods based on assuming the sparse…

统计方法学 · 统计学 2025-02-25 Dong Li , Xinghao Qiao , Cheng Yu

Looking for associations among multiple variables is a topical issue in statistics due to the increasing amount of data encountered in biology, medicine and many other domains involving statistical applications. Graphical models have…

机器学习 · 统计学 2010-04-15 Vivian Viallon , Onureena Banerjee , Gregoire Rey , Eric Jougla , Joel Coste

The Morse-Smale complex of a function $f$ decomposes the sample space into cells where $f$ is increasing or decreasing. When applied to nonparametric density estimation and regression, it provides a way to represent, visualize, and compare…

统计理论 · 数学 2017-04-05 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

In low and middle income countries, household surveys are a valuable source of information for a range of health and demographic indicators. Increasingly, subnational estimates are required for targeting interventions and evaluating…

统计方法学 · 统计学 2020-09-21 Katie Wilson , Jon Wakefield