Could you please help me with the following problem. In my analysis I would to use a distribution that is not symmetric, for example skewed normal. In Mathematica I found a function: SkewNormalDistribution(my,sigma,alpha) where alpha is a scale parameter, ie a skewness parameter. So, when I change alpha the distribution gets more and more skewed. However, when alpha changes, so does my and so does sigma. Hence if I use SkewNormalDistribution(0,1,0.5), then I will NOT get a distribution with mean 0 and SD 1. Is there a way to avoid this problem? I would like to get a skewed distribution with mean 0 and SD 1. I tried to substract mean from the distribution and to divide it by its SD, but it did not work.
Thank you very much for your time and consideration.