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As big data continues to grow, statistical inference for multivariate functional data (MFD) has become crucial. Although recent advancements have been made in testing the equality of mean functions, research on testing linear hypotheses for…

统计方法学 · 统计学 2025-04-07 Tianming Zhu

Time-varying random objects have been increasingly encountered in modern data analysis. Moreover, in a substantial number of these applications, periodic behaviour of the random objects has been observed. We develop a novel procedure to…

统计方法学 · 统计学 2025-08-27 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Non-stationarity of the rate or variance of events is a well-known problem in the description and analysis of time series of events, such as neuronal spike trains. A multiple filter test (MFT) for rate homogeneity has been proposed earlier…

应用统计 · 统计学 2018-10-03 Stefan Albert , Michael Messer , Julia Schiemann , Jochen Roeper , Gaby Schneider

We introduce estimation and test procedures through divergence optimization for discrete or continuous parametric models. This approach is based on a new dual representation for divergences. We treat point estimation and tests for simple…

统计理论 · 数学 2008-12-02 Michel Broniatowski , Amor Keziou

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

统计理论 · 数学 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

Given a finite sequence of graphs, e.g., coming from technological, biological, and social networks, the paper proposes a methodology to identify possible changes in stationarity in the stochastic process generating the graphs. In order to…

机器学习 · 统计学 2021-02-11 Daniele Zambon , Cesare Alippi , Lorenzo Livi

Classical change point analysis aims at (1) detecting abrupt changes in the mean of a possibly non-stationary time series and at (2) identifying regions where the mean exhibits a piecewise constant behavior. In many applications however, it…

统计理论 · 数学 2020-02-17 Axel Bücher , Holger Dette , Florian Heinrichs

This manuscript makes two contributions to the field of change-point detection. In a generalchange-point setting, we provide a generic algorithm for aggregating local homogeneity testsinto an estimator of change-points in a time series.…

统计理论 · 数学 2022-12-09 Emmanuel Pilliat , Alexandra Carpentier , Nicolas Verzelen

In this paper, we present a change point detection method for detecting change points in multivariate nonstationary wind speed time series. The change point method identifies changes in the covariance structure and decomposes the…

统计方法学 · 统计学 2021-05-25 Sakitha Ariyarathne , Harsha Gangammanavar , Raanju R. Sundararajan

Piecewise Deterministic Markov Processes (PDMPs) are studied in a general framework. First, different constructions are proven to be equivalent. Second, we introduce a coupling between two PDMPs following the same differential flow which…

概率论 · 数学 2021-08-03 Alain Durmus , Arnaud Guillin , Pierre Monmarché

Consider a Poisson point process with unknown support boundary curve $g$, which forms a prototype of an irregular statistical model. We address the problem of estimating non-linear functionals of the form $\int \Phi(g(x))\,dx$. Following a…

统计理论 · 数学 2019-02-13 Markus Reiß , Martin Wahl

We tackle the change-point problem with data belonging to a general set. We build a penalty for choosing the number of change-points in the kernel-based method of Harchaoui and Capp{\'e} (2007). This penalty generalizes the one proposed by…

统计理论 · 数学 2019-03-15 Sylvain Arlot , Alain Celisse , Zaid Harchaoui

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

统计理论 · 数学 2024-10-01 Ramkrishna Jyoti Samanta

In this article, we propose a new method for the fundamental task of testing for dependence between two groups of variables. The response densities under the null hypothesis of independence and the alternative hypothesis of dependence are…

统计方法学 · 统计学 2015-01-29 Yimin Kao , Brian J Reich , Howard D Bondell

A novel method is proposed for detecting changes in the covariance structure of moderate dimensional time series. This non-linear test statistic has a number of useful properties. Most importantly, it is independent of the underlying…

统计方法学 · 统计学 2021-08-18 Sean Ryan , Rebecca Killick

We consider offline detection of a single changepoint in binary and count time-series. We compare exact tests based on the cumulative sum (CUSUM) and the likelihood ratio (LR) statistics, and a new proposal that combines exact two-sample…

统计方法学 · 统计学 2020-08-21 Shyamal K. De , Soumendu Sundar Mukherjee

Estimation of genewise variance arises from two important applications in microarray data analysis: selecting significantly differentially expressed genes and validation tests for normalization of microarray data. We approach the problem by…

统计理论 · 数学 2010-11-11 Jianqing Fan , Yang Feng , Yue S. Niu

This paper proposes a class of origin-smooth approximators of indicators underlying the sum-of-negative-part statistic for testing multiple inequalities. The need for simulation or bootstrap to obtain test critical values is thereby…

统计方法学 · 统计学 2012-06-27 Le-Yu Chen , Jerzy Szroeter

In this paper, I propose a general algorithm for multiple change point analysis via multivariate distribution-free nonparametric testing based on the concept of ranks that are defined by measure transportation. Multivariate ranks and the…

统计方法学 · 统计学 2021-11-09 Amanda Ng