activity
20242026
most citedTwo-dimensional Brownian motion with dependent components: turning angle analysis

3 citations · 7 across the 14 of their papers we have counts for

collaborators

14 papers

stat.ME2026

Real-time and adaptive anomaly detection algorithm for cyclostationary models

Justyna Witulska, Tomasz Barszcz, Ireneusz Jabłoński +1

This article introduces PeriodicCALM, an effective real-time anomaly detection framework designed for cyclostationary data streams. While classical cyclostationary processes featur…

stat.ME2026

A systematic framework for the identification and statistical quantification of impulsivity in condition monitoring signals

Aleksandra Grzesiek, Justyna Witulska, Daniel Kuzio +3

This article proposes a comprehensive framework for the identification and statistical quantification of impulsive behavior in signals, with a primary focus on condition monitoring…

stat.AP2026

Real-time anomaly detection in base station testbeds via scalable kernel density estimation framework

Justyna Witulska, Marcin Szczukiewicz, Artur Tabaka +4

Large-scale testing infrastructures are critical for validating telecommunication systems, yet their growing complexity makes efficient resource utilization and anomaly detection i…

cond-mat.stat-mech2026

Turning angle analysis reveals hidden anisotropies in intracellular transport

Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska +1

Molecular motion within living cells provides a window into the physical principles underlying intracellular organization and transport. Yet a fundamental limitation remains: measu…

stat.ME2026★ 2 cited

Testing and estimation of the index of stability of univariate and bivariate symmetric stable distributions via modified Greenwood statistic

Katarzyna Skowronek, Marek Arendarczyk, Anna K. Panorska +2

We propose a testing and estimation methodology for univariate and bivariate symmatric -stable distributions using a modified version of the Greenwood statistic. Originally desi…

stat.ME2026★ 2 cited

Fractional lower-order covariance-based measures for cyclostationary time series with heavy-tailed distributions: application to dependence testing and model order identification

Wojciech Żuławiński, Agnieszka Wyłomańska

This article introduces new methods for the analysis of cyclostationary time series with infinite variance. Traditional cyclostationary analysis, based on periodically correlated (…

stat.ME2025

Robust variance estimators in application to segmentation of measurement data distorted by impulsive and non-Gaussian noise

Justyna Witulska, Anna Zaleska, Natalia Kremzer-Osiadacz +2

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotati…

eess.SP2025

A procedure for assessing of machine health index data prediction quality

Daniel Kuzio, Radosław Zimroz, Agnieszka Wyłomańska

The paper discusses the challenge of evaluating the prognosis quality of machine health index (HI) data. Many existing solutions in machine health forecasting involve visually asse…

eess.SP2025

Non-negative tensor factorization-based dependence map analysis for local damage detection in presence of non-Gaussian noise

Anna Michalak, Justyna Hebda-Sobkowicz, Anil Kumar +3

The time-frequency map (TFM) is frequently used in condition monitoring, necessitating further processing to select an informative frequency band (IFB) or directly detect damage. H…

math.PR2024

Riemann-Liouville fractional Brownian motion with random Hurst exponent

Hubert Woszczek, Agnieszka Wylomanska, Aleksei Chechkin

We examine two stochastic processes with random parameters, which in their basic versions (i.e., when the parameters are fixed) are Gaussian and display long range dependence and a…

cond-mat.stat-mech2024★ 3 cited

Two-dimensional Brownian motion with dependent components: turning angle analysis

Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomanska +2

Brownian motion in one or more dimensions is extensively used as a stochastic process to model natural and engineering signals, as well as financial data. Most works dealing with m…

stat.ME2024

Conditional correlation estimation and serial dependence identification

Kewin Pączek, Damian Jelito, Marcin Pitera +1

It has been recently shown in Jaworski, P., Jelito, D. and Pitera, M. (2024), 'A note on the equivalence between the conditional uncorrelation and the independence of random variab…

math.PR2024

Scaled Brownian motion with random anomalous diffusion exponent

Hubert Woszczek, Aleksei Chechkin, Agnieszka Wylomanska

The scaled Brownian motion (SBM) is regarded as one of the paradigmatic random processes, featuring the anomalous diffusion property characterized by the diffusion exponent. It is…

cond-mat.stat-mech2024

Langevin equation in heterogeneous landscapes: how to choose the interpretation

Adrian Pacheco-Pozo, Michał Balcerek, Agnieszka Wyłomańska +3

The Langevin equation is a common tool to model diffusion at a single-particle level. In non-homogeneous environments, such as aqueous two-phase systems or biological condensates w…