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This work presents the concept of kernel mean embedding and kernel probabilistic programming in the context of stochastic systems. We propose formulations to represent, compare, and propagate uncertainties for fairly general stochastic…

机器学习 · 统计学 2020-05-05 Jia-Jie Zhu , Krikamol Muandet , Moritz Diehl , Bernhard Schölkopf

This work is devoted to the development of a distributionally robust active fault diagnosis approach for a class of nonlinear systems, which takes into account any ambiguity in distribution information of the uncertain model parameters.…

最优化与控制 · 数学 2021-08-12 Ioannis Tzortzis , Marios M. Polycarpou

We propose a framework for determining whether the causal dependence of an outcome $Y$ on a covariate $X$ changes at a given time point, given confounders $\boldsymbol{Z}$. For instance, in financial markets, the effect of a market…

统计方法学 · 统计学 2026-05-08 Shakeel Gavioli-Akilagun , Kieran Wood , Francesco Quinzan

A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without…

数据分析、统计与概率 · 物理学 2012-09-19 N. D. Gagunashvili , M. Schmelling

A long-standing problem in the construction of asymptotically correct confidence bands for a regression function $m(x)=E[Y|X=x]$, where $Y$ is the response variable influenced by the covariate $X$, involves the situation where $Y$ values…

统计理论 · 数学 2018-12-10 Ali Al-Sharadqah , Majid Mojirsheibani

This article introduces a novel method for detecting distinctive structural changes in economic data, particularly within frequency distribution tables. The approach identifies significant shifts in the distribution of a variable over time…

应用统计 · 统计学 2025-09-04 Joanna Dębicka , Edyta Mazurek

This paper introduces kdiff, a novel kernel-based measure for estimating distances between instances of time series, random fields and other forms of structured data. This measure is based on the idea of matching distributions that only…

机器学习 · 统计学 2021-10-01 Srinjoy Das , Hrushikesh Mhaskar , Alexander Cloninger

New procedures for detecting a change in the cross-sectional mean of panel data are proposed. The procedures rely on estimating nuisance parameters using certain cross-sectional means across panels using a weighted least squares regression.…

统计方法学 · 统计学 2026-05-07 Charl Pretorius , Heinrich Roodt

Change-points in time series data are usually defined as the time instants at which changes in their properties occur. Detecting change-points is critical in a number of applications as diverse as detecting credit card and insurance frauds,…

信号处理 · 电气工程与系统科学 2021-09-10 André Ferrari , Cédric Richard , Anthony Bourrier , Ikram Bouchikhi

Functional data analysis has attracted considerable interest and is facing new challenges, one of which is the increasingly available data in a streaming manner. In this article we develop an online nonparametric method to dynamically…

统计方法学 · 统计学 2021-11-05 Ying Yang , Fang Yao

Analyzing the covariance structure of data is a fundamental task of statistics. While this task is simple for low-dimensional observations, it becomes challenging for more intricate objects, such as multivariate functions. Here, the…

统计方法学 · 统计学 2023-01-12 Holger Dette , Gauthier Dierickx , Tim Kutta

Considering a regression model, we address the question of testing the nullity of the regression function. The testing procedure is available when the variance of the observations is unknown and does not depend on any prior information on…

统计理论 · 数学 2019-04-08 Thi Thien Trang Bui

The high structural deficient rate poses serious risks to the operation of many bridges and buildings. To prevent critical damage and structural collapse, a quick structural health diagnosis tool is needed during normal operation or…

应用统计 · 统计学 2018-12-10 Yizheng Liao , Anne S. Kiremidjian , Ram Rajagopal , Chin-Hsuing Loh

The analysis of record-breaking events is of interest in fields such as climatology, hydrology or anthropology. In connection with the record occurrence, we propose three distribution-free statistics for the changepoint detection problem.…

统计方法学 · 统计学 2022-08-23 Jorge Castillo-Mateo

We develop methodology to detect structural breaks in the slope function of a concurrent functional linear regression model for functional time series in $C[0,1]$. Our test is based on a CUSUM process of regressor-weighted OLS residual…

统计方法学 · 统计学 2026-02-16 Rupsa Basu , Sven Otto

Elliptical distribution is a basic assumption underlying many multivariate statistical methods. For example, in sufficient dimension reduction and statistical graphical models, this assumption is routinely imposed to simplify the data…

统计理论 · 数学 2024-12-16 Yin Tang , Bing Li

We investigate properties of a bootstrap-based methodology for testing hypotheses about equality of certain characteristics of the distributions between different populations in the context of functional data. The suggested testing…

统计理论 · 数学 2016-09-29 Efstathios Paparoditis , Theofanis Sapatinas

This paper is concerned with estimation and inference for the location of a change point in the mean of independent high-dimensional data. Our change point location estimator maximizes a new U-statistic based objective function, and its…

统计方法学 · 统计学 2020-02-12 Runmin Wang , Xiaofeng Shao

This article studies global testing of the slope function in functional linear regression model in the framework of reproducing kernel Hilbert space. We propose a new testing statistic based on smoothness regularization estimators. The…

统计理论 · 数学 2021-10-13 Jianjun Xu , Wenquan Cui

In this paper we deal with the problem of testing for the equality of $k$ probability distributions defined on $(\mathcal{X},\mathcal{B})$, where $\mathcal{X}$ is a metric space and $\mathcal{B}$ is the corresponding Borel $\sigma$-field.…