• DOI:10.1081/STA-120037438
Corpus ID: 13906086

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}
}

W. Reed, M. Jorgensen

Published 2001

Mathematics, Computer Science

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… CONTINUE READING

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