The Double Pareto-Lognormal Distribution—A New Parametric Model for Size Distributions
@article{Reed2001TheDP, title={The Double Pareto-Lognormal Distribution—A New Parametric Model for Size Distributions}, author={W. Reed and M. Jorgensen}, journal={Communications in Statistics - Theory and Methods}, year={2001}, volume={33}, pages={1733 - 1753} }
Abstract A family of probability densities, which has proved useful in modelling the size distributions of various phenomens, including incomes and earnings, human settlement sizes, oil-field volumes and particle sizes, is introduced. The distribution, named herein as the double Pareto-lognormal or dPlN distribution, arises as that of the state of a geometric Brownian motion (GBM), with lognormally distributed initial state, after an exponentially distributed length of time (or equivalently as… CONTINUE READING
Topics from this paper
384 Citations
Geometrically stopped Markovian random growth processes and Pareto tails
- Mathematics, Economics
- 2017
- 16
- Highly Influenced
- PDF
The accumulative law and its probability model: an extension of the Pareto distribution and the log-normal distribution
- Mathematics, Medicine
- Proceedings of the Royal Society A
- 2020
- 1
- PDF
On the parametric description of US city size distribution: New empirical evidence
- Mathematics
- 2014
- 2
- Highly Influenced
- PDF
References
SHOWING 1-10 OF 36 REFERENCES
Exponentially decreasing distributions for the logarithm of particle size
- Mathematics, Chemistry
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1977
- 941
Dynamic Models for File Sizes and Double Pareto Distributions
- Computer Science
- Internet Math.
- 2003
- 142
- PDF