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Logistic (Sech-squared) Distribution¶
A special case of the Generalized Logistic distribution with c=1. Defined for x>0
f(x)=exp(−x)[1+exp(−x)]2F(x)=11+exp(−x)G(q)=−log(1/q−1)
μ=γ+ψ0(1)=0μ2=π26+ψ1(1)=π23γ1=ψ2(c)+2ζ(3)μ3/22=0γ2=(π415+ψ3(c))μ22=65md=log1=0mn=−log(2−1)=0
h[X]=1.
Implementation: scipy.stats.logistic