Aggregation of independent Paretian random variables

Bertrand Roehner, Peter Winiwarter
1985 Advances in Applied Probability  
Empirical Paretian distributions play an important role in urban demography, size distributions of firms and income distributions; hence the addition of Paretian random variables is of interest. First, we give the asymptotic behavior (for large values of the variable) of the density function of a sum of n independently distributed Paretian variables. We then obtain the limiting distribution of an infinite sum of (i.i.d) Paretian variables and link our results with the theory of stable distributions.
more » ... of stable distributions.
doi:10.2307/1427153 fatcat:tfbyni4vjrdwfcjkijeniutg44