The fractional-diffusion equation and a new distribution to model positively skewed data with heavy tails

Shanoja R. Naik and Bovas Abraham

Statistics & Probability Letters, 2013, vol. 83, issue 7, 1759-1769

Abstract: We introduce a new distribution useful for positively skewed dataset with heavy tails and refer to it as the “Wright distribution”. Properties involving moments, skewness and kurtosis are studied. Simulation study and derivation of the density function using fractional calculus method are reported.

Keywords: Fraction derivative; H-function; Laplace transform; Likelihood estimator; Mittag-Leffler function; Moment estimator (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.03.021

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