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As machine learning continues to gain momentum in the neuroscience community, we witness the emergence of novel applications such as diagnostics, characterization, and treatment outcome prediction for psychiatric and neurological disorders,…

We investigate the nonparametric estimation for regression in a fixed-design setting when the errors are given by a field of dependent random variables. Sufficient conditions for kernel estimators to converge uniformly are obtained. These…

统计理论 · 数学 2007-06-13 Mohamed El Machkouri

Statistical models that include random effects are commonly used to analyze longitudinal and correlated data, often with strong and parametric assumptions about the random effects distribution. There is marked disagreement in the literature…

统计方法学 · 统计学 2012-01-11 Charles E. McCulloch , John M. Neuhaus

Hypothesis testing and other statistical inference procedures are most efficient when a reliable low-dimensional parametric family can be specified. We propose a method that learns such a family when one exists but its form is not known a…

统计方法学 · 统计学 2017-11-29 William Fithian , Daniel Ting

This article presents a neural network approach for estimating the covariance function of spatial Gaussian random fields defined in a portion of the Euclidean plane. Our proposal builds upon recent contributions, expanding from the purely…

统计方法学 · 统计学 2024-08-21 Alejandro Villazón , Alfredo Alegría , Xavier Emery

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

机器学习 · 统计学 2021-10-12 K. P. Chowdhury

An important aspect of large-scale structure data analysis is the presence of non-negligible theoretical uncertainties, which become increasingly important on small scales. We show how to incorporate these uncertainties in realistic power…

宇宙学与河外天体物理 · 物理学 2021-02-24 Anton Chudaykin , Mikhail M. Ivanov , Marko Simonović

In their recent "Cluster Failure" paper, Eklund and colleagues cast doubt on the accuracy of a widely used statistical test in functional neuroimaging. Here, we leverage nonparametric methods that control the false discovery rate to offer…

应用统计 · 统计学 2016-08-04 Daniel Kessler , Michael Angstadt , Chandra Sripada

Parametric resampling schemes have been recently introduced in complex network analysis with the aim of assessing the statistical significance of graph clustering and the robustness of community partitions. We propose here a method to…

物理与社会 · 物理学 2014-02-25 Fabrizio De Vico Fallani , Vincenzo Nicosia , Vito Latora , Mario Chavez

Normative modelling is an increasingly common statistical technique in neuroimaging that estimates population-level benchmarks in brain structure. It enables the quantification of individual deviations from expected distributions whilst…

神经元与认知 · 定量生物学 2025-10-21 Nida Alyas , Jonathan Horsley , Bethany Little , Peter N. Taylor , Yujiang Wang , Karoline Leiberg

A common method for deriving non-parametric tests is to reformulate a parametric test in terms of sample ranks. Despite being distribution free (even in finite samples), the resulting tests often display remarkable asymptotic power…

统计理论 · 数学 2022-08-10 Dan D. Erdmann-Pham , Jonathan Terhorst , Yun S. Song

The standard approach to the analysis of functional magnetic resonance imaging (FMRI) data applies various preprocessing steps to the original FMRI. These preprocessings lead to a general underestimation of residual variance in the…

应用统计 · 统计学 2018-09-20 Thomas Wilhelm Dieter Möbius

We consider the problem of finding anomalies in a $d$-dimensional field of independent random variables $\{Y_i\}_{i \in \left\{1,...,n\right\}^d}$, each distributed according to a one-dimensional natural exponential family $\mathcal F =…

概率论 · 数学 2019-03-26 Claudia König , Axel Munk , Frank Werner

The standard way to parameterize the distributions represented by a directed acyclic graph is to insert a parametric family for the conditional distribution of each random variable given its parents. We show that when one's goal is to test…

统计方法学 · 统计学 2013-02-08 James M. Robins , Larry A. Wasserman

Genomic imprinting and maternal effects are two epigenetic factors that have been increasingly explored for their roles in the etiology of complex diseases. This is part of a concerted effort to find the "missing heritability." Accordingly,…

应用统计 · 统计学 2013-04-18 Jingyuan Yang , Shili Lin

Random feature mapping (RFM) is a popular method for speeding up kernel methods at the cost of losing a little accuracy. We study kernel ridge regression with random feature mapping (RFM-KRR) and establish novel out-of-sample error upper…

机器学习 · 统计学 2019-09-26 Shusen Wang

In this paper, a practical estimation method for a regression model is proposed using semiparametric efficient score functions applicable to data with various shapes of errors. First, I derive semiparametric efficient score vectors for a…

统计方法学 · 统计学 2023-01-23 Mijeong Kim

We outline how modern likelihood theory, which provides essentially exact inferences in a variety of parametric statistical problems, may routinely be applied in practice. Although the likelihood procedures are based on analytical…

统计方法学 · 统计学 2009-06-23 Alessandra R. Brazzale , Anthony C. Davison

Generalized linear models and the quasi-likelihood method extend the ordinary regression models to accommodate more general conditional distributions of the response. Nonparametric methods need no explicit parametric specification, and the…

统计理论 · 数学 2009-11-23 Jianqing Fan , Yichao Wu , Yang Feng

The alignment of shapes has been a crucial step in statistical shape analysis, for example, in calculating mean shape, detecting locational differences between two shape populations, and classification. Procrustes alignment is the most…

统计方法学 · 统计学 2025-01-06 Mohsen Taheri , Jörn Schulz