Dear Prof. Antonio Trujillo-Ortiz,
Thanks for your quick reply. It was helpful. Now I understand. We need to get the LN-mean and LN-standard-deviation in order to get the mean ('mu') and standard deviation ('sqrt(si2)' ) from LNRVs.
Thank you very much/Muchos gracias,
Thanks for your interest of this m-file. As you know, we only generated the Matlab computational algorithm from the original published paper. If you have any mathematical or statistical fundamentals inquiry you must refer to the author(s). I give you the Dr. Norbert Henze's email address
However, we don't need the lognormal cdf (logncdf) neither the mean and variance of the lognormal distribution (longnstat) functions. For the used mean (mu) and variance (si2), which are the Henze-Zirkler mean and variance, must, as the author establish, to be converted to the lognormal Henze-Zirkler mean and variance. As you can see, using the provied Iris data example. The mean(mu)=0.7635 and variance(si2)=0.0112. With a Henze-Zirkler lognormal mean: -0.279408 and Henze-Zirkler lognormal variance: 0.1379069. But, if you try to use te mu and si2 values by the longnstat function, you get the incorrect lognormal values of 2.1459 and 5.7768e-004, respecively.
Prof. Antonio Trujillo-Ortiz