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We present an extension of the functional data analysis framework for univariate functions to the analysis of surfaces: functions of two variables. The spatial spline regression (SSR) approach developed can be used to model surfaces that…

统计方法学 · 统计学 2013-06-17 Hien D. Nguyen , Geoffrey J. McLachlan , Ian A. Wood

Motivated by recent data analyses in biomedical imaging studies, we consider a class of image-on-scalar regression models for imaging responses and scalar predictors. We propose using flexible multivariate splines over triangulations to…

统计方法学 · 统计学 2021-06-04 Shan Yu , Guannan Wang , Li Wang , Lijian Yang

Multivariate spatial disease mapping has become a pivotal part of everyday practice in social epidemiology. Despite the existence of several specifications for the relation between different outcomes, there is still a need for a new…

应用统计 · 统计学 2024-10-30 P. Escobar-Hernández , A. López-Quílez , F. Palmí-Perales , M. Marco

In modern spatial statistics, the structure of data that is collected has become more heterogeneous. Depending on the type of spatial data, different modeling strategies for spatial data are used. For example, a kriging approach for…

统计方法学 · 统计学 2019-06-04 Craig Wang , Reinhard Furrer

Spatial omics assays allow for the molecular characterisation of cells in their spatial context. Notably, the two main technological streams, imaging-based and high-throughput sequencing-based, can give rise to very different data…

定量方法 · 定量生物学 2025-06-26 Martin Emons , Samuel Gunz , Helena L. Crowell , Izaskun Mallona , Reinhard Furrer , Mark D. Robinson

In this work, we propose a new Bayesian spatial homogeneity pursuit method for survival data under the proportional hazards model to detect spatially clustered patterns in baseline hazard and regression coefficients. Specially, regression…

应用统计 · 统计学 2021-02-24 Lijiang Geng , Guanyu Hu

To detect a changed segment (so called epidemic changes) in a time series, variants of the CUSUM statistic are frequently used. However, they are sensitive to outliers in the data and do not perform well for heavy tailed data, especially…

统计理论 · 数学 2019-12-20 Alfredas Račkauskas , Martin Wendler

Recently, global pulsar timing arrays have released results from searching for a nano-Hertz gravitational wave background signal. Although there has not been any definite evidence of the presence of such a signal in residuals of pulsar…

广义相对论与量子宇宙学 · 物理学 2022-10-12 A. Samajdar , G. Shaifullah , A. Sesana , J. Antoniadis , M. Burgay , D. J. Champion , S. Chen , M. Kramer , J. W. McKee , M. B. Mickaliger , E. Van der Wateren

Functional data that are nonnegative and have a constrained integral can be considered as samples of one-dimensional density functions. Such data are ubiquitous. Due to the inherent constraints, densities do not live in a vector space and,…

统计理论 · 数学 2016-01-13 Alexander Petersen , Hans-Georg Müller

We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test…

统计理论 · 数学 2024-04-15 Qianqian Jiang , Wenbo Li , Zeng Li

We develop a test of normality for spatially indexed functions. The assumption of normality is common in spatial statistics, yet no significance tests, or other means of assessment, have been available for functional data. This paper aims…

统计方法学 · 统计学 2021-07-01 Thomas Kuenzer , Siegfried Hörmann , Piotr Kokoszka

Multivariate locally stationary functional time series provide a flexible framework for modeling complex data structures exhibiting both temporal and spatial dependencies while allowing for time-varying data generating mechanism. In this…

统计方法学 · 统计学 2025-01-15 Lujia Bai , Holger Dette , Weichi Wu

Efficient sampling of many-dimensional and multimodal density functions is a task of great interest in many research fields. We describe an algorithm that allows parallelizing inherently serial Markov chain Monte Carlo (MCMC) sampling by…

统计计算 · 统计学 2020-08-10 Vasyl Hafych , Philipp Eller , Oliver Schulz , Allen Caldwell

Accurate covariance matrices for two-point functions are critical for inferring cosmological parameters in likelihood analyses of large-scale structure surveys. Among various approaches to obtaining the covariance, analytic computation is…

宇宙学与河外天体物理 · 物理学 2021-02-23 Xiao Fang , Tim Eifler , Elisabeth Krause

Functional data describe a wide range of processes, such as growth curves and spectral absorption. In this study, we analyze air pollution data from the In-service Aircraft for a Global Observing System, focusing on the spatial interactions…

统计方法学 · 统计学 2024-11-14 Rita Fici , Gianluca Sottile , Luigi Augugliaro , Ernst-Jan Camiel Wit

There is an increasing focus on reducing inequalities in health outcomes in developing countries. Subnational variation is of particular interest, with geographic data used to understand the spatial risk of detrimental outcomes and to…

统计方法学 · 统计学 2020-12-22 Neal Marquez , Jon Wakefield

We present a new statistical method to analyze multichannel steady-state local field potentials (LFP) recorded within different sensory cortices of different rodent species. Our spatiotemporal multi-dimensional cluster statistics (MCS)…

In many experiments in the life sciences, several endpoints are recorded per subject. The analysis of such multivariate data is usually based on MANOVA models assuming multivariate normality and covariance homogeneity. These assumptions,…

应用统计 · 统计学 2017-12-06 Sarah Friedrich , Markus Pauly

To detect differences between the mean curves of two samples in longitudinal study or functional data analysis, we usually need to partition the temporal or spatial domain into several pre-determined sub-areas. In this paper we apply the…

统计方法学 · 统计学 2015-05-01 Peirong Xu , Youngjo Lee , Jian Qing Shi

Multi-voxel pattern analysis (MVPA) is a fruitful and increasingly popular complement to traditional univariate methods of analyzing neuroimaging data. We propose to replace the standard 'decoding' approach to searchlight-based MVPA,…

神经元与认知 · 定量生物学 2014-02-10 Carsten Allefeld , John-Dylan Haynes