# 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={William J. Reed and Murray Jorgensen},
journal={Communications in Statistics - Theory and Methods},
year={2001},
volume={33},
pages={1733 - 1753}
}
• Published 31 December 2004
• Mathematics
• Communications in Statistics - Theory and Methods
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…
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