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We introduce state-space models where the functionals of the observational and the evolutionary equations are unknown, and treated as random functions evolving with time. Thus, our model is nonparametric and generalizes the traditional…

统计方法学 · 统计学 2014-02-24 Anurag Ghosh , Soumalya Mukhopadhyay , Sandipan Roy , Sourabh Bhattacharya

To optimize mobile health interventions and advance domain knowledge on intervention design, it is critical to understand how the intervention effect varies over time and with contextual information. This study aims to assess how a push…

应用统计 · 统计学 2024-10-22 Jiaxin Yu , Tianchen Qian

Tree-structured models are a powerful alternative to parametric regression models if non-linear effects and interactions are present in the data. Yet, classical tree-structured models might not be appropriate if data comes in clusters of…

统计方法学 · 统计学 2025-01-23 Nikolai Spuck , Matthias Schmid , Moritz Berger

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

统计方法学 · 统计学 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

Methods utilizing instrumental variables have been a fundamental statistical approach to estimation in the presence of unmeasured confounding, usually occurring in non-randomized observational data common to fields such as economics and…

统计方法学 · 统计学 2022-10-06 Charles Spanbauer , Wei Pan

In mixed longitudinal studies, a group of subjects enter the study at different ages (cross-sectional) and are followed for successive years (longitudinal). In the context of such studies, we consider nonparametric covariance estimation…

统计方法学 · 统计学 2020-12-02 Anru R. Zhang , Kehui Chen

Inpatient care is a large share of total health care spending, making analysis of inpatient utilization patterns an important part of understanding what drives health care spending growth. Common features of inpatient utilization measures…

机器学习 · 统计学 2017-11-22 Christoph Kurz , Laura Hatfield

We propose a methodology to explore and measure the pairwise correlations that exist between variables in a dataset. The methodology leverages copulas for encoding dependence between two variables, state-of-the-art optimal transport for…

机器学习 · 统计学 2016-11-01 Gautier Marti , Sebastien Andler , Frank Nielsen , Philippe Donnat

Time series clustering is essential in scientific applications, yet methods for functional time series, collections of infinite-dimensional curves treated as random elements in a Hilbert space, remain underdeveloped. This work presents…

统计方法学 · 统计学 2025-04-03 Angel Lopez-Oriona , Ying Sun , Han Lin Shang

Big spatio-temporal datasets, available through both open and administrative data sources, offer significant potential for social science research. The magnitude of the data allows for increased resolution and analysis at individual level.…

应用统计 · 统计学 2017-11-27 Anastasia Ushakova , Slava J. Mikhaylov

Dynamic functional connectivity (FC) has in recent years become a topic of interest in the neuroimaging community. Several models and methods exist for both functional magnetic resonance imaging (fMRI) and electroencephalography (EEG), and…

We consider the situation where a temporal process is composed of contiguous segments with differing slopes and replicated noise-corrupted time series measurements are observed. The unknown mean of the data generating process is modelled as…

In economic development, there are often regions that share similar economic characteristics, and economic models on such regions tend to have similar covariate effects. In this paper, we propose a Bayesian clustered regression for…

计量经济学 · 经济学 2020-06-30 Zhihua Ma , Yishu Xue , Guanyu Hu

We discuss a general Bayesian framework on modeling multidimensional function-valued processes by using a Gaussian process or a heavy-tailed process as a prior, enabling us to handle nonseparable and/or nonstationary covariance structure.…

统计方法学 · 统计学 2020-07-29 Evandro Konzen , Jian Qing Shi , Zhanfeng Wang

Regression models are used in a wide range of applications providing a powerful scientific tool for researchers from different fields. Linear, or simple parametric, models are often not sufficient to describe complex relationships between…

机器学习 · 统计学 2021-11-24 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

Nonparametric Bayesian approaches provide a flexible framework for clustering without pre-specifying the number of groups, yet they are well known to overestimate the number of clusters, especially for functional data. We show that a…

统计方法学 · 统计学 2025-10-21 Fumiya Iwashige , Tomoya Wakayama , Shonosuke Sugasawa , Shintaro Hashimoto

This paper introduces a new spatial scan statistic designed to adjust cluster detection for longitudinal confounding factors indexed in space. The functional-model-adjusted statistic was developed using generalized functional linear models…

统计方法学 · 统计学 2019-03-05 Michael Genin , Mohamed-Salem Ahmed

This article proposes a Bayesian nonparametric method for forecasting, imputation, and clustering in sparsely observed, multivariate time series data. The method is appropriate for jointly modeling hundreds of time series with widely…

统计方法学 · 统计学 2019-02-27 Feras A. Saad , Vikash K. Mansinghka

Many real world problems exhibit patterns that have periodic behavior. For example, in astrophysics, periodic variable stars play a pivotal role in understanding our universe. An important step when analyzing data from such processes is the…

机器学习 · 计算机科学 2012-08-20 Yuyang Wang , Roni Khardon , Pavlos Protopapas

Bayesian forecasting is developed in multivariate time series analysis for causal inference. Causal evaluation of sequentially observed time series data from control and treated units focuses on the impacts of interventions using…

统计方法学 · 统计学 2024-06-21 Graham Tierney , Christoph Hellmayr , Greg Barkimer , Kevin Li , Mike West