On the stability of one characterization of the stable distributions by Olga Yanushkevichiene, Romanas Yanushkevichius

“…The idea of using linear combinations of random variables to cha­racterize the stable distributions has been extended by P. Levy. We investigate the stability of this characterization. …”
Get full text

U-Statistic for Multivariate Stable Distributions by Mahdi Teimouri, Saeid Rezakhah, Adel Mohammadpour

Get full text

Data-Driven Iterative Vibration Signal Enhancement Strategy Using Alpha Stable Distribution by Grzegorz Żak, Agnieszka Wyłomańska, Radosław Zimroz

“…Procedure incorporates application of the time-frequency decomposition, α-stable distribution based signal modeling, and stability parameter in the time domain as a stoppage criterion for iterative part of the procedure. …”
Get full text

A Covert α-Stable Noise-Based Extended Random Communication by Incorporating Multiple Inverse Systems by Areeb Ahmed, Zoran Bosnic

Subjects: “…α-stable distributions…”
Get full text

Alpha Stable Distribution Based Morphological Filter for Bearing and Gear Fault Diagnosis in Nuclear Power Plant by Xinghui Zhang, Jianshe Kang, Lei Xiao, Jianmin Zhao

“…The length of structuring element (SE) of dilation-erosion gradient filter is optimized by alpha stable distribution. Method experimental verification confirmed that parameter alpha is superior compared to kurtosis since it can reflect the form of entire signal and it cannot be influenced by noise similar to impulse.…”
Get full text

A Fault Diagnosis Method for Rolling Bearings Based on Feature Fusion of Multifractal Detrended Fluctuation Analysis and Alpha Stable Distribution by Qing Xiong, Weihua Zhang, Tianwei Lu, Guiming Mei, Shulin Liang

“…Firstly, Multifractal Detrended Fluctuation Analysis (MFDFA) was used to compute five MFDFA features while five Alpha Stable Distribution (ASD) features were obtained by fitting the distribution to the vibration signals of each status and calculating the Probability Density Function (PDF). …”
Get full text

Phased Fractional Low-Order Moment-Based Doppler Shift Estimation in the Presence of Interference Signals and Impulsive Noise by Bo Ni, Mengjia Wang, Jiacheng Zhang, Ying Zhang, Tao Liu

Subjects: “…alpha-stable distribution…”
Get full text

Modeling Anomalous Transport of Cosmic Rays in the Heliosphere Using a Fractional Fokker–Planck Equation by José Luis Díaz Palencia

“…We derive analytical solutions using the Adomian Decomposition Method and express them in terms of Mittag-Leffler functions and Lévy stable distributions. The model parameters, including the fractional orders <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> and the entropic index <i>q</i>, are estimated by a short comparison between theoretical predictions and observational data from cosmic ray experiments. …”
Get full text

Lévy walk of pions in heavy-ion collisions by Dániel Kincses, Márton Nagy, Máté Csanád

“…Utilising Monte-Carlo simulations of high-energy collisions, we show that the chain of processes ending in a final state pion has a step length distribution leading to Lévy-stable distributions. Subsequently, we show that simulated pion freeze-out distributions indeed exhibit heavy tails and can be described by a three-dimensional elliptically contoured symmetric Lévy-stable distribution.…”
Get full text

Robust Cyclic MUSIC Algorithm for Finding Directions in Impulsive Noise Environment by Sen Li, Xiaojing Chen, Rongxi He

“…This paper addresses the issue of direction finding of a cyclostationary signal under impulsive noise environments modeled by α-stable distribution. Since α-stable distribution does not have finite second-order statistics, the conventional cyclic correlation-based signal-selective direction finding algorithms do not work effectively. …”
Get full text

Geological characteristics and main enrichment controlling factors of coalbed methane in Nanchuan area, southeastern Sichuan Basin by Xipeng HE, Kaiming WANG, Wei LUO, Yuqiao GAO, Nana LIU, Tao GUO, Yatong ZHOU, Didi WU

“…The results show that: (1) The main coal seams of the Longtan Formation exhibit stable distribution (thickness of 2.8 to 5.7 m), good coal body structure (mainly primary structural coal), high vitrinite content (average content of 79.7%), high degree of thermal evolution (average Ro of 1.9%), and low ash yield rate (average of 14.3 %). …”
Get full text