1 | initial version |
Using the actual function I get a fine plot via:
sage: CDFlogn(x,nu,sigma) = 1/2*(1+erf((log(x)-nu)/(sigma*sqrt(2))))
sage: plot(CDFlogn(x,1.5,.6),0,10)
Launched png viewer for Graphics object consisting of 1 graphics primitive
sage: CDFlogn(x,1.5,.6)
1/2*erf(-0.833333333333333*sqrt(2)*(-log(x) + 1.50000000000000)) + 1/2
sage: CDFlogn(4,1.5,.6)
1/2*erf(-0.833333333333333*sqrt(2)*(-log(4) + 1.50000000000000)) + 1/2
sage: CDFlogn(4,1.5,.6).n()
0.424846794957399
For example: https://en.wikipedia.org/wiki/Log-normal_distribution#Cumulative_distribution_function