2008•Electronics LettersRequires access

Bi-parameter CGM model for approximation of α-stable PDF

X.T. Li, Jun Sun, Lianwen Jin, Mingjia Liu

Abstract

Alpha stable distribution has no closed-form expression for the probability density function. Presented is a very concise approximate model for symmetric α-stable (SαS) distribution, which is basically a simplified version of the Cauchy-Gaussian mixture (CGM). The proposed model enjoys the advantages of good fitness and analytical tractability.

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Key concepts: Cauchy distribution, Applied mathematics, Mathematics, Probability density function, Expression (computer science), Gaussian, Stable distribution, Distribution (mathematics)