# Math Help - pareto

1. ## pareto

I want to generate a range of numbers that follow a Pareto distribution.
I want these numbers to assume a mean value of say 1000.

With the pareto distribution I need to specify my shape and location parameters (or alpha and beta depending on the terminology you would like to use).

In calculating my shape and location parameters, do I simply choose
1< shape <2 and then calculate my location value from
mean = (shape*location)/(location - 1)
or am i misunderstanding the approach ?

2. I've proved a lot of weird limit theorems for the basic Pareto, $px^{p-1}I(x>1)$

I had a graduate student run some simulations using matlab to show how to use those limit results.