Simulation dataset by given mean, max, min

[Defense]

Thanks

[Rick_SAS]

I'm glad you got a response that answers your question. You should select the best response (not your own) as The Solution.

After thinking about this problem, I wrote a short article that shows that you can also solve the problem by using a Beta distribution. The problem does not have a unique solution, so you need to add an additional constraint if you want uniqueness.

See the article, "Simulate from a bounded distribution that has a specified mean."

[sbxkoenk]

Simulating data with given (raw) moments, like mean -- variance -- covariance ...
Here's how you can do that !

Creating Synthetic Data with SAS/OR
By Jared Erickson on Operations Research with SAS May 17, 2017
https://blogs.sas.com/content/operations/2017/05/17/creating-synthetic-data-sasor/

Koen

[Rick_SAS]

I respectfully disagree. That method (constrained optimization) is not a good way to simulate data.