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

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Approximation algorithm to symmetric alpha stable distribution with bi-region curve model by Kang WANG, Zhi-jiang XU, Li-min MENG

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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. …”
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Dual-station pseudo-Doppler localization method based on particle filtering with stable distribution noise by shuang QIUTian, zhe QIYin

Subjects: “…stable distribution noise…”
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A Covert α-Stable Noise-Based Extended Random Communication by Incorporating Multiple Inverse Systems by Areeb Ahmed, Zoran Bosnic

Subjects: “…α-stable distributions…”
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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.…”
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Blind speech signals separation based on Borel measure peaks for under-determined mixtures by GUO Wen-qiang1, QIU Tian-shuang1, ZHA Dai-feng1

Subjects: “…Alpha stable distributions…”
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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). …”
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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…”
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Elimination of pulse-noise from mixed-noise based on fractional lower order ICA by QIU Tian-shuang1, LI Bing1, ZHA Dai-feng2

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α-spectrum estimation method for ARMA SαS process based on FLOC by WANG Shou-yong1, ZHU Xiao-bo2

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Carrier frequency estimation method of time-frequency overlapped signals based on cyclic correntropy spectrum by Tianshuang QIU, Xing CHEN, Jitong MA, Jingchun LI, Rong LI

Subjects: “…Alpha-stable distribution…”
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Modified robust time delay estimation algorithm based on cyclostationarity in impulsive noise by Yang LIU, Tian-shuang QIU, Jing-chun LI

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Recognition method of digital modulation signals over non-Gaussian noise in cognitive radio by Ming-qian LIU, Bing-bing LI, Chao-feng CAO, Zhao LI

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Fractional time delay estimation algorithm based on the fractional lower order moment by LIU Wen-hong1, 2, QIU Tian-shuang1, HU Ting-ting1, LUAN Lian-yi3

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Novel method based on fractional lower-order correntropy-analogous statistics for parameter jointly estimation in bistatic MIMO radar by Li LI, Tian-shuang QIU, Ming-yan HE

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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. …”
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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.…”
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Constant modulus algorithm for blind equalization under impulsive noise environments by GUO Ying1, QIU Tian-shuang1, TANG Hong1, PARK Yong-wan2

“…The presence of α stable distributed ambient channel noise in wireless systems can degrade the per-formance of existing constamt modulus（CM） equalizers.The problem of blind equalization in noisy communication channels was investigated by addressing the negative effects of heavy-tailed noise to the original constant modulus algorithm based on a stochastic gradient descent（SGD-CMA）.Two modified algorithms were proposed.The first is robust CM algorithm based on SGD（SGD-RCMA） and the second is robust CM based on recursive least square（RLS-RCMA） novel methods are robust under both Gaussian and α stable distributed ambient noise environments.And compared to SGD-RCMA method,the RLS-RCMA method has a significantly faster convergence rate and more powerful ISI impressing ability.…”
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