In probability theory and statistics, the log-triangular distribution is a continuous probability distribution with lower limit a, mode c and upper limit b.

f(x,a,b,c) =   

2 * log(x/a)/(log(b/a) * log(c/a) for a less than x less or equal to c   

2 * log(b/x)/(log(b/a) * log(b/c) for c less than x less than b   

0 otherwise.

support 0 ⇐ x ⇐ Inf