Zobrazeno 1 - 10
of 984
pro vyhledávání: '"Wyłomańska A"'
The molecular motion in heterogeneous media displays anomalous diffusion by the mean-squared displacement $\langle X^2(t) \rangle = 2 D t^\alpha$. Motivated by experiments reporting populations of the anomalous diffusion parameters $\alpha$ and $D$,
Externí odkaz:
http://arxiv.org/abs/2410.18133
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 anomalous diffusion behavior, characterized by the Hurst exponent. Our
Externí odkaz:
http://arxiv.org/abs/2410.11546
Publikováno v:
Measurement 218 (2023) 113148
The problem of local damage diagnosis (based on the detection of impulsive and periodic signals) is discussed. Both features should be checked, as fault frequency must be linked to the true value calculated for a given machine and speed. The precise
Externí odkaz:
http://arxiv.org/abs/2409.15492
Autor:
Balcerek, Michał, Pacheco-Pozo, Adrian, Wyłomanska, Agnieszka, Burnecki, Krzysztof, Krapf, Diego
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 multidimensional Brownian motion consider the different dimensions as i
Externí odkaz:
http://arxiv.org/abs/2407.06374
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 variables', Electronic Journal of Statistics 18(1), that one can characteris
Externí odkaz:
http://arxiv.org/abs/2406.14650
In this paper, we explore the modified Greenwood statistic, which, in contrast to the classical Greenwood statistic, is properly defined for random samples from any distribution. The classical Greenwood statistic, extensively examined in the existing
Externí odkaz:
http://arxiv.org/abs/2405.11834
We present a novel data-oriented statistical framework that assesses the presumed Gaussian dependence structure in a pairwise setting. This refers to both multivariate normality and normal copula goodness-of-fit testing. The proposed test clusters th
Externí odkaz:
http://arxiv.org/abs/2404.12696
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 a Gaussian, self-similar process with independent increments, which ha
Externí odkaz:
http://arxiv.org/abs/2403.20206
Publikováno v:
IEEE Transactions on Industrial Informatics ( Volume: 20, Issue: 2, February 2024)
Local damage of bearings can be detected as a weak cyclic and impulsive component in a highly noisy measured signal. A key problem is how to extract the signal of interest (SOI) from the raw signal, i.e., how to identify and design an optimal filter.
Externí odkaz:
http://arxiv.org/abs/2403.12564
Publikováno v:
Mechanical Systems and Signal Processing Volume 198, 1 September 2023, 110430
In this study, a novel non-negative tensor factorization (NTF)-based method for vibration-based local damage detection in rolling element bearings is proposed. As the diagnostic signal registered from a faulty machine is non-stationary, the time-freq
Externí odkaz:
http://arxiv.org/abs/2403.12554