user3624322 user3624322 - 3 months ago 23
R Question

Sampling from a pareto distribution in R - getting values below scale parameter

I am sampling from a Pareto distribution using rpareto from package actuar.

What I find strange is that I keep getting values below the defined scale parameter. I was under the impression they should all be above it.

tail <- rpareto(2,scale=y_0,shape=a_hat)

and I get in my vector values below y_0. Does anyone have an explanation?



Check the formulation used by the function in the ?rpareto help page. Perhaps they parameterized the distribution differently than you do. From the help page:

enter image description here

So they say that the returned values with be >0. The support does not depend on the parameters.

If you are comparing this to the version on wikipedia they are basically doing a translation of

y = x - scale