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This research introduces a novel approach to resampling periodically correlated (PC) time series using bandpass filters for frequency separation called the Variable Bandpass Periodic Block Bootstrap (VBPBB) and then examines the significant…

Methodology · Statistics 2025-07-10 Edward Valachovic

The Variable Bandpass Periodic Block Bootstrap(VBPBB) is an innovative method for time series with periodically correlated(PC) components. This method applies bandpass filters to extract specific PC components from datasets, effectively…

Methodology · Statistics 2025-09-25 Yanan Sun , Eric Rose , Kai Zhang , Edward Valachovic

Air quality is a critical component of environmental health. Monitoring and analysis of particulate matter with a diameter of 2.5 micrometers or smaller (PM2.5) plays a pivotal role in understanding air quality changes. This study focuses…

Applications · Statistics 2025-07-10 Yanan Sun , Edward Valachovic

Incomplete time-series data compromise statistical inference, particularly when the underlying process exhibits periodic structure (e.g., annual or monthly cycles). Conventional imputation procedures rarely account for such temporal…

Applications · Statistics 2025-12-22 Asmaa Ahmad , Eric J Rose , Michael Roy , Edward Valachovic

Missing data is a pervasive issue in statistical analyses, affecting the reliability and validity of research across diverse scientific disciplines. Failure to adequately address missing data can lead to biased estimates and consequently…

Methodology · Statistics 2025-05-06 Asmaa Ahmad , Eric J Rose , Michael Roy , Edward Valachovic

Electric generation and consumption are an essential component of contemporary living, influencing diverse facets of our daily routines, convenience, and economic progress. There is a high demand for characterizing the periodic pattern of…

Applications · Statistics 2024-04-08 Jie Yao , Edward Valachovic

Time series with multiple periodically correlated components is a complex problem with comparatively limited prior research. Most existing time series models are designed to accommodate simple periodically correlated components and tend to…

Methodology · Statistics 2025-09-29 Jie Yao , Kai Zhang , Eric Rose , Edward Valachovic

Microbial ecology serves as a foundation for a wide range of scientific and biomedical studies. Rapidly-evolving high-throughput sequencing technology enables the comprehensive search for microbial biomarkers using longitudinal experiments.…

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

We present a novel multi-scale embedding scheme that links conventional QM/MM embedding and bootstrap embedding (BE) to allow simulations of large chemical systems on limited quantum devices. We also propose a mixed-basis BE scheme that…

Designing control inputs for a system that involves dynamical responses in multiple timescales is nontrivial. This paper proposes a parameterized time-warping function to enable a non-uniformly sampling along a prediction horizon given some…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Zehui Lu , Shaoshuai Mou

Existing frequency domain methods for bootstrapping time series have a limited range. Consider for instance the class of spectral mean statistics (also called integrated periodograms) which includes many important statistics in time series…

Methodology · Statistics 2018-06-19 Marco Meyer , Efstathios Paparoditis , Jens-Peter Kreiss

Multivariate time series present many challenges, especially when they are high dimensional. The paper's focus is twofold. First, we address the subject of consistently estimating the autocovariance sequence; this is a sequence of matrices…

Statistics Theory · Mathematics 2015-06-03 Carsten Jentsch , Dimitris N. Politis

Bayesian inference using Markov Chain Monte Carlo (MCMC) on large datasets has developed rapidly in recent years. However, the underlying methods are generally limited to relatively simple settings where the data have specific forms of…

Methodology · Statistics 2020-02-18 Robert Salomone , Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

Bootstrap methods for estimating the long-run covariance of stationary functional time series are considered. We introduce a versatile bootstrap method that relies on functional principal component analysis, where principal component scores…

Computation · Statistics 2016-10-05 Han Lin Shang

Periodic structures are ubiquitous in quantum many-body systems and quantum field theories, ranging from lattice models, compact spaces, to topological phenomena. However, previous bootstrap studies encountered technical challenges even for…

High Energy Physics - Theory · Physics 2025-07-04 Zhijian Huang , Wenliang Li

This paper proposes a belief propagation (BP)-based algorithm for sequential detection and estimation of multipath component (MPC) parameters based on radio signals. Under dynamic channel conditions with moving transmitter/receiver, the…

Information Theory · Computer Science 2022-05-24 Xuhong Li , Erik Leitinger , Alexander Venus , Fredrik Tufvesson

In contemporary data-driven environments, the generation and processing of multivariate time series data is an omnipresent challenge, often complicated by time delays between different time series. These delays, originating from a multitude…

Machine Learning · Computer Science 2024-08-26 Jiajie Wang , Zhiyuan Jerry Lin , Wen Chen

Quantitative analysis of the dynamics of tiny cellular and sub-cellular structures, known as particles, in time-lapse cell microscopy sequences requires the development of a reliable multi-target tracking method capable of tracking numerous…

Computer Vision and Pattern Recognition · Computer Science 2015-07-24 Seyed Hamid Rezatofighi , Stephen Gould , Ba Tuong Vo , Ba-Ngu Vo , Katarina Mele , Richard Hartley

For many relevant statistics of multivariate time series, no valid frequency domain bootstrap procedures exist. This is mainly due to the fact that the distribution of such statistics depends on the fourth-order moment structure of the…

Methodology · Statistics 2021-02-04 Marco Meyer , Efstathios Paparoditis
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