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The spatial random-effects model is flexible in modeling spatial covariance functions, and is computationally efficient for spatial prediction via fixed rank kriging. However, the success of this model depends on an appropriate set of basis…

统计方法学 · 统计学 2015-04-23 ShengLi Tzeng , Hsin-Cheng Huang

Wearable devices collect time-varying biobehavioral data, offering opportunities to investigate how behaviors influence health outcomes. However, these data often contain measurement error and excess zeros (due to nonwear, sedentary…

统计方法学 · 统计学 2026-02-06 Caihong Qin , Lan Xue , Ufuk Beyaztas , Roger S. Zoh , Mark Benden , Jeff Goldsmith , Carmen D. Tekwe

Cylindrical data frequently arise across various scientific disciplines, including meteorology (e.g., wind direction and speed), oceanography (e.g., marine current direction and speed or wave heights), ecology (e.g., telemetry), and…

统计方法学 · 统计学 2026-02-06 Francesca Labanca , Anna Gottard , Nadja Klein

Semi-structured networks (SSNs) merge the structures familiar from additive models with deep neural networks, allowing the modeling of interpretable partial feature effects while capturing higher-order non-linearities at the same time. A…

机器学习 · 计算机科学 2024-10-15 David Rügamer , Bernard X. W. Liew , Zainab Altai , Almond Stöcker

In healthcare applications, temporal variables that encode movement, health status and longitudinal patient evolution are often accompanied by rich structured information such as demographics, diagnostics and medical exam data. However,…

Predicting missing segments in partially observed functions is challenging due to infinite-dimensionality, complex dependence within and across observations, and irregular noise. These challenges are further exacerbated by the existence of…

统计方法学 · 统计学 2025-11-20 Fangyi Wang , Sebastian Kurtek , Yuan Zhang

This paper studies linear reconstruction of partially observed functional data which are recorded on a discrete grid. We propose a novel estimation approach based on approximate factor models with increasing rank taking into account…

统计理论 · 数学 2024-05-22 Maximilian Ofner , Siegfried Hörmann

We introduce a new class of conditional autoregressive models for spatially dependent functional data, formulated through conditional means given neighboring functional observations and characterized by a covariance operator and a spatial…

统计方法学 · 统计学 2026-05-22 Sooran Kim

Organizations like U.S. Census Bureau rely on non-exhaustive surveys to estimate industry-level production functions in years in which a full Census is not conducted. When analyzing data from non-census years, we propose selecting an…

应用统计 · 统计学 2018-09-24 José Luis Preciado Arreola , Daisuke Yagi , Andrew L. Johnson

A novel functional additive model is proposed which is uniquely modified and constrained to model nonlinear interactions between a treatment indicator and a potentially large number of functional and/or scalar pretreatment covariates. The…

统计方法学 · 统计学 2021-01-26 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

A functional (lagged) time series regression model involves the regression of scalar response time series on a time series of regressors that consists of a sequence of random functions. In practice, the underlying regressor curve time…

统计方法学 · 统计学 2020-07-28 Tomáš Rubín , Victor M. Panaretos

We develop a new method for multivariate scalar on multidimensional distribution regression. Traditional approaches typically analyze isolated univariate scalar outcomes or consider unidimensional distributional representations as…

统计方法学 · 统计学 2023-10-17 Rahul Ghosal , Marcos Matabuena

A new single-index model that reflects the time-dynamic effects of the single index is proposed for longitudinal and functional response data, possibly measured with errors, for both longitudinal and time-invariant covariates. With…

统计理论 · 数学 2011-03-10 Ci-Ren Jiang , Jane-Ling Wang

Samples of curves, or functional data, usually present phase variability in addition to amplitude variability. Existing functional regression methods do not handle phase variability in an efficient way. In this paper we propose a functional…

统计方法学 · 统计学 2013-10-09 Daniel Gervini

Structured additive regression provides a general framework for complex Gaussian and non-Gaussian regression models, with predictors comprising arbitrary combinations of nonlinear functions and surfaces, spatial effects, varying…

统计方法学 · 统计学 2015-03-19 Fabian Scheipl , Ludwig Fahrmeir , Thomas Kneib

Functional linear regression is a widely used approach to model functional responses with respect to functional inputs. However, classical functional linear regression models can be severely affected by outliers. We therefore introduce a…

统计方法学 · 统计学 2019-09-02 Harjit Hullait , David S. Leslie , Nicos G. Pavlidis , Steve King

Within the field of hierarchical modelling, little attention is paid to micro-macro models: those in which group-level outcomes are dependent on covariates measured at the level of individuals within groups. Although such models are perhaps…

统计方法学 · 统计学 2024-11-06 Shaun McDonald , Alexandre Leblanc , Saman Muthukumarana , David Campbell

We consider spatially dependent functional data collected under a geostatistics setting, where locations are sampled from a spatial point process. The functional response is the sum of a spatially dependent functional effect and a spatially…

统计方法学 · 统计学 2021-06-18 Haozhe Zhang , Yehua Li

Time series classification problems have drawn increasing attention in the machine learning and statistical community. Closely related is the field of functional data analysis (FDA): it refers to the range of problems that deal with the…

机器学习 · 统计学 2021-02-25 Florian Pfisterer , Laura Beggel , Xudong Sun , Fabian Scheipl , Bernd Bischl

The advent of high resolution imaging has made data on surface shape widespread. Methods for the analysis of shape based on landmarks are well established but high resolution data require a functional approach. The starting point is a…

计算机视觉与模式识别 · 计算机科学 2020-03-20 Stanislav Katina , Liberty Vittert , Adrian W. Bowman