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Change detection in heterogeneous multitemporal satellite images is an emerging and challenging topic in remote sensing. In particular, one of the main challenges is to tackle the problem in an unsupervised manner. In this paper we propose…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Luigi T. Luppino , Filippo M. Bianchi , Gabriele Moser , Stian N. Anfinsen

An important aspect of modeling spatially-referenced data is appropriately specifying the covariance function of the random field. A practitioner working with spatial data is presented a number of choices regarding the structure of the…

Methodology · Statistics 2015-11-06 Zachary D. Weller , Jennifer A. Hoeting

Precision matrices play important roles in many practical applications. Motivated by temporally dependent multivariate data in modern social and scientific studies, we consider the statistical inference of precision matrices for…

Methodology · Statistics 2018-12-21 Jinyuan Chang , Yumou Qiu , Qiwei Yao , Tao Zou

Spatial boundaries, such as ecological transitions or climatic regime interfaces, capture steep environmental gradients, and shifts in their structure can signal emerging environmental changes. Quantifying uncertainty in spatial boundary…

Applications · Statistics 2025-12-18 Stephen Tivenan , Indranil Sahoo , Yanjun Qian

This paper investigates the (in)-consistency of various bootstrap methods for making inference on a change-point in time in the Cox model with right censored survival data. A criterion is established for the consistency of any bootstrap…

Methodology · Statistics 2013-08-01 Gongjun Xu , Bodhisattva Sen , Zhiliang Ying

Structural Bias (SB) is an important type of algorithmic deficiency within iterative optimisation heuristics. However, methods for detecting structural bias have not yet fully matured, and recent studies have uncovered many interesting…

Methodology · Statistics 2021-05-11 Diederick Vermetten , Anna V. Kononova , Fabio Caraffini , Hao Wang , Thomas Bäck

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…

Methodology · Statistics 2025-01-15 Lujia Bai , Holger Dette , Weichi Wu

For a spatiotemporal process $\{X_j(s,t) | ~s \in S~,~t \in T \}_{j =1, \ldots , n} $, where $S$ denotes the set of spatial locations and $T$ the time domain, we consider the problem of testing for a change in the sequence of mean…

Statistics Theory · Mathematics 2022-03-10 Holger Dette , Pascal Quanz

We consider the problem of goodness-of-fit testing for a model that has at least one unknown parameter that cannot be eliminated by transformation. Examples of such problems can be as simple as testing whether a sample consists of…

Methodology · Statistics 2021-04-28 Sean van der Merwe

We study sequential change-point detection for spatio-temporal point processes, where actionable detection requires not only identifying when a distributional change occurs but also localizing where it manifests in space. While classical…

Methodology · Statistics 2026-02-05 Wenbin Zhou , Liyan Xie , Shixiang Zhu

We propose a novel algorithm for testing the hypothesis of nonstationarity in complex-valued signals. The implementation uses both the bootstrap and the Fast Fourier Transform such that the algorithm can be efficiently implemented in…

Virtually all the emergent properties of a complex system are rooted in the non-homogeneous nature of the behaviours of its elements and of the interactions among them. However, the fact that heterogeneity and correlations can appear…

Physics and Society · Physics 2020-11-13 Aleix Bassolas , Vincenzo Nicosia

Temporal dependence and the resulting autocovariances in time series data can introduce bias into ANOVA test statistics, thereby affecting their size and power. This manuscript accounts for temporal dependence in ANOVA and develops a test…

Statistics Theory · Mathematics 2025-09-12 Yunyi Zhang

A model-free bootstrap procedure for a general class of stationary time series is introduced. The theoretical framework is established, showing asymptotic validity of bootstrap confidence intervals for many statistics of interest. In…

Statistics Theory · Mathematics 2020-01-01 Yiren Wang , Dimitris N. Politis

In this paper we investigate how the bootstrap can be applied to time series regressions when the volatility of the innovations is random and non-stationary. The volatility of many economic and financial time series displays persistent…

Econometrics · Economics 2021-01-12 H. Peter Boswijk , Giuseppe Cavaliere , Anders Rahbek , Iliyan Georgiev

In spite of considerable practical importance, current algorithmic fairness literature lacks technical methods to account for underlying geographic dependency while evaluating or mitigating bias issues for spatial data. We initiate the…

Applications · Statistics 2022-01-31 Subhabrata Majumdar , Cheryl Flynn , Ritwik Mitra

Recent advances in local models for point processes have highlighted the need for flexible methodologies to account for the spatial heterogeneity of external covariates influencing process intensity. In this work, we introduce tessellated…

Methodology · Statistics 2025-04-11 Nicoletta D'Angelo

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…

Methodology · Statistics 2021-08-18 Sean Ryan , Rebecca Killick

In this paper, we propose an easy-to-implement residual-based specification testing procedure for detecting structural changes in factor models, which is powerful against both smooth and abrupt structural changes with unknown break dates.…

Econometrics · Economics 2025-01-22 Bin Peng , Liangjun Su , Yayi Yan

We propose a new nonparametric procedure for the detection and estimation of multiple structural breaks in the autocovariance function of a multivariate (second- order) piecewise stationary process, which also identifies the components of…

Statistics Theory · Mathematics 2013-09-06 Philip Preuß , Ruprecht Puchstein , Holger Dette