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Table 1 Special cases of mixed generalized error distribution

From: Uncertainty modeling of wind power frequency regulation potential considering distributed characteristics of forecast errors

Shape parameter

k = 2, λ = 0

k = 2, λ ≠ 0

λ = 0, σ = 1

k ≠ 2, λ ≠ 0

Distribution type

Gaussian distribution

Skew Gaussian distribution

Standard GED

SGED