Aggregation of independent Paretian random variables
- 1 June 1985
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 17 (2) , 465-469
- https://doi.org/10.2307/1427153
Abstract
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.Keywords
This publication has 5 references indexed in Scilit:
- A Dynamic Generalization of Zipf's Rank-Size RuleEnvironment and Planning A: Economy and Space, 1982
- Formulas and Theorems for the Special Functions of Mathematical PhysicsPublished by Springer Nature ,1966
- STATISTICAL DISCRIMINATION AMONG ALTERNATIVE HYPOTHESES AND SOME ECONOMIC REGULARITIES+Journal of Regional Science, 1964
- The Pareto-Levy Law and the Distribution of IncomeInternational Economic Review, 1960
- Handbuch der Laplace-TransformationPublished by Springer Nature ,1950