Data sets
data set 1 (data_set1.mat) alpha-stablePAR(1)_download
Sample trajectories of the two-dimensional α-stable PAR(1) time series
Sample trajectories of the three-dimensional α-stable PAR(1) time series
cite: Giri, P., Grzesiek, A., Żuławiński, W. et al. The modified Yule-Walker method for multidimensional infinite-variance periodic autoregressive model of order 1. J. Korean Stat. Soc. (2022). https://doi.org/10.1007/s42952-022-00191-3
data set 2 (data_set2.mat) alpha-stablePAR(1)_download
Sample trajectories of {Yt} time series and empirical variances Yt of for each calculated from 100000 trajectories for different values of Gaussian additive noise variance in the case Phi (1) of coefficients
cite: Wojciech Żuławiński, Aleksandra Grzesiek, Radosław Zimroz, Agnieszka Wyłomańska, Identification and validation of periodic autoregressive model with additive noise: finite-variance case, Journal of Computational and Applied Mathematics, Volume 427, 2023, 115131, https://doi.org/10.1016/j.cam.2023.115131
data set 3 – not available due to NDA
cite: Wodecki, J.; Krot, P.; Wróblewski, A.; Chudy, K.; Zimroz, R. Condition Monitoring of Horizontal Sieving Screens—A Case Study of Inertial Vibrator Bearing Failure in Calcium Carbonate Production Plant. Materials 2023, 16, 1533. https://doi.org/10.3390/ma16041533
dataset 4: available on Prognostics Center of Excellence – Data Repository, https://ti.arc.nasa.gov/tech/dash/groups/pcoe/prognostic-data-repository/
Fig. 32. Life time failure data of bearing (IMS data set)
Fig. 34. Vibration data of file number 534
cite : Anil Kumar, Yaakoub Berrouche, Radoslaw Zimroz, Govind Vashishtha, Sumika Chauhan, C.P. Gandhi, Hesheng Tang, Jiawei Xiang, Non-parametric Ensemble Empirical Mode Decomposition for extracting weak features to identify bearing defects, Measurement, Volume 211, 2023, 112615, https://doi.org/10.1016/j.measurement.2023.112615.
Software