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5 Results Found

  • Article
  • Open Access
7 Citations
3,582 Views
18 Pages

16 October 2021

In this paper, a new variational Bayesian-based Kalman filter (KF) is presented to solve the filtering problem for a linear system with unknown time-varying measurement loss probability (UTVMLP) and non-stationary heavy-tailed measurement noise (NSHT...

  • Article
  • Open Access
4 Citations
2,259 Views
25 Pages

17 January 2025

This paper introduces a novel robust Kalman filter designed to leverage symmetrical properties within the Pearson Type VII-Inverse Wishart (PVIW) distribution, enhancing state estimation accuracy in the presence of time-varying biases and non-station...

  • Article
  • Open Access
496 Views
32 Pages

18 November 2025

Bearings are among the most failure-prone components in rotating systems, making early fault detection crucial in industrial applications. While recent publications have focused on this issue, challenges remain, particularly in dealing with heavy-tai...

  • Article
  • Open Access
5 Citations
6,341 Views
21 Pages

17 December 2024

Multi-source heterogeneous information fusion based on the Global Navigation Satellite System (GNSS)/Inertial Navigation System (INS)/odometer is an important technical means to solve the problem of navigation and positioning in complex environments....

  • Feature Paper
  • Article
  • Open Access
655 Views
19 Pages

Detrended Cross-Correlations and Their Random Matrix Limit: An Example from the Cryptocurrency Market

  • Stanisław Drożdż,
  • Paweł Jarosz,
  • Jarosław Kwapień,
  • Maria Skupień and
  • Marcin Wątorek

6 December 2025

Correlations in complex systems are often obscured by nonstationarity, long-range memory, and heavy-tailed fluctuations, which limit the usefulness of traditional covariance-based analyses. To address these challenges, we construct scale- and fluctua...