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Johnson SB Distribution¶
Defined for x∈(0,1) with two shape parameters a and b>0.
f(x;a,b)=bx(1−x)ϕ(a+blogx1−x)F(x;a,b)=Φ(a+blogx1−x)G(q;a,b)=11+exp[−1b(Φ−1(q)−a)]
Implementation: scipy.stats.johnsonsb