MATLAB: How to create a skewed distribution that is truncated

Question

Hello,

I am trying to make a right skewed truncated distribution with a mean of 75 and SD of 15 that does not produce values outside of 0 and 100.

I understand that you can truncate a normale distribution probability object with… t = truncate(pd,lower,upper)

Meanwhile, I know that you can also create a skewed distribution with: pearsrnd(mean,sd,skew,kurt,trials,col)

However, I am not sure how you create both a skewed distribution and extract values from it that also is truncated? Can anyone assist me with this?

Answer 1

(continuing from the comments under the question)

One solution is to just truncate the distribution yourself by producing the distribution, cutting out values beyond your bounds, and replacing them with a new draw of numbers from the same distribution. That process could be set up in a while-loop that ends when the number of accepted values reaches your specification. Note that this could bias your distribution as is discussed in the comments under the question.