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Generalized Gaussian distribution (GGD) includes specials cases when the shape parameter equals p = 1 and p = 2. It corresponds to Laplacian and Gaussian distributions respectively. For p → ∞, f ( x ) becomes a uniform distribution, and for p → 0, f ( x ) approaches an impulse function. Chapeau-Blondeau et al. [4] considered another special case p = 0.5. The article discusses more peaky case in which GGD p = 1/3.
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Robert Krupiński (2016) studied this question.
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