Dear R-Experts,

I have an empirical dataset with 150 subjects for 24 observations.
In each observation, each subject can have a score in the range 0:3.

I made then a simple index making the sum of the values in each row,
so each subject have a score between 0 and 72.

I was thinking about what kind of theoretical distribution such an
index should have, so I try to make things random like:

data<-array(0,c(150,24))
data2<-array(0, c(150, 100))
for (prova in 1:100){
        for (i in 1:24){
                for (q in 1:150){
                        data[q,i]<-sample(0:3, 1)
                        }
                }
        for (riga in 1:150){
                data2[riga,prova]<-sum(data[riga,])
                }
        }

now here you can find the plotted theoretical values (black) against
the empirical ones (red):

http://www.digitaldust.it/papers/indice.png

How can I estimate the density of both distribution? because the red
one looks like a pareto distribution, but I am not an expert...

many thanks,
Simone

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