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Correlations between random variables play an important role in applications, e.g.\ in financial analysis. More precisely, accurate estimates of the correlation between financial returns are crucial in portfolio management. In particular,…

Methodology · Statistics 2014-01-31 Pedro Galeano , Dominik Wied

The quantification of the interannual component of variability in climatological time series is essential for the assessment and prediction of the El Ni\~{n}o - Southern Oscillation phenomenon. This is achieved by estimating the deviation…

Applications · Statistics 2025-11-14 Tommaso Proietti , Alessandro Giovannelli

The problem of detecting changes in firing patterns in neural data is studied. The problem is formulated as a quickest change detection problem. Important algorithms from the literature are reviewed. A new algorithmic technique is discussed…

Signal Processing · Electrical Eng. & Systems 2018-09-05 Taposh Banerjee , Stephen Allsop , Kay M. Tye , Demba Ba , Vahid Tarokh

We consider the impact that temporal correlations in the measurement statistics can have on the achievable precision in a sequential metrological protocol. In this setting, and for a single quantum probe, we establish that it is the…

Quantum Physics · Physics 2024-04-02 Eoin O'Connor , Steve Campbell , Gabriel T. Landi

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…

Methodology · Statistics 2021-05-25 Sakitha Ariyarathne , Harsha Gangammanavar , Raanju R. Sundararajan

Time series data from real-world systems often display non-stationary behavior, indicating varying statistical characteristics over time. This inherent variability poses significant challenges in deciphering the underlying structural…

Applications · Statistics 2024-05-07 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

This work develops techniques for the sequential detection and location estimation of transient changes in the volatility (standard deviation) of time series data. In particular, we introduce a class of change detection algorithms based on…

Systems and Control · Computer Science 2017-12-29 Alireza Ahrabian , Nazli Farajidavar , Clive Cheong-Took , Payam Barnaghi

This paper is devoted to testing time series that exhibit behavior related to two or more regimes with different statistical properties. Motivation of our study are two real data sets from plasma physics with observable two-regimes…

Mathematical Physics · Physics 2015-06-04 Janusz gajda , Grzegorz Sikora , Agnieszka Wyłomańska

Detecting recurrent weather patterns and understanding the transitions between such regimes are key to advancing our knowledge on the low-frequency variability of the atmosphere and have important implications in terms of weather and…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Sebastian Springer , Vera Melinda Galfi , Alessandro Laio , Valerio Lucarini

The coupled Arctic system is in rapid transition and is set to undergo further dramatic changes over the coming decades. These changes will lead most likely to an ice-free ocean in summer, expected before mid-century. The Arctic will become…

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

Machine Learning · Computer Science 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

This paper develops a novel change point identification method for high-dimensional data using random projections. By projecting high-dimensional time series into a one-dimensional space, we are able to leverage the rich literature for…

Methodology · Statistics 2026-03-04 Yi Xu , Yeonwoo Rho

This paper discusses change detection in SAR time-series. Firstly, several statistical properties of the coefficient of variation highlight its pertinence for change detection. Then several criteria are proposed. The coefficient of…

Data Analysis, Statistics and Probability · Physics 2020-05-19 Elise Colin Koeniguer , Jean-Marie Nicolas

Determining changes in global temperature and precipitation that may indicate climate change is complicated by annual variations. One approach for finding potential climate change indicators is to train a model that predicts the year from…

Atmospheric and Oceanic Physics · Physics 2022-12-09 Charles Anderson , Jason Stock

Statistically simulated time series of wave parameters are required for many coastal and offshore engineering applications, often at the resolution of approximately one hour. Various studies have relied on autoregressive moving-average…

Applications · Statistics 2018-10-31 Wiebke S. Jäger , Thomas Nagler , Claudia Czado , Robert T. McCall

An algorithm for determining stationary periods for time series of random sea waves is proposed in this work. This is a problem in which changes between stationary sea states are usually slow and segmentation procedures based on…

Methodology · Statistics 2015-06-22 Pedro C. Alvarez-Esteban , C. Euán , J. Ortega

Sequential change point detection for multivariate autocorrelated data is a very common problem in practice. However, when the sensing resources are limited, only a subset of variables from the multivariate system can be observed at each…

Machine Learning · Statistics 2024-04-02 Haijie Xu , Xiaochen Xian , Chen Zhang , Kaibo Liu

We introduce a method for decomposition of trend, cycle and seasonal components in spatio-temporal models and apply it to investigate the existence of climate changes in temperature and rainfall series. The method incorporates critical…

Applications · Statistics 2017-03-21 Marcio Poletti Laurini

Motivated by an example from remote sensing of gas emission sources, we derive two novel change point procedures for multivariate time series where, in contrast to classical change point literature, the changes are not required to be…

Methodology · Statistics 2020-04-07 Idris Eckley , Claudia Kirch , Silke Weber

Change-point detection and locally stationary time series modeling are two major approaches for the analysis of non-stationary data. The former aims to identify stationary phases by detecting abrupt changes in the dynamics of a time series…

Methodology · Statistics 2026-01-16 Wai Leong Ng , Xinyi Tang , Mun Lau Cheung , Jiacheng Gao , Chun Yip Yau , Holger Dette