The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
The Double Pareto-Lognormal Distribution—A New Parametric Model for Size Distributions
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 the distribution of the killed state of such a GBM with constant killing rate). A number of phenomena can be viewed as resulting from such a process (e.g., incomes, settlement sizes), which explains the good fit. Properties of the distribution are derived and estimation methods discussed. The distribution exhibits Paretian power-law) behaviour in both tails, and when plotted on logarithmic axes, its density exhibits hyperbolic-type behaviour.
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A Brief History of Generative Models for Power Law and Lognormal Distributions
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Metadata
- Authors
- Reed, W. J., & Jorgensen, M.
- Venue
- Communications in Statistics - Theory and Methods
- Publisher
- Informa UK Limited
- Published
- 2004-12-31
- Volume
- 33
- Issue
- 8
- Pages
- 1733-1753
- ISSN
- 0361-0926 (ISSN-L)
- 1532-415X
- OpenAlex
- W2057464142
- Cited by
- 437
- References
- 19
- FWCI
- 9.19
- Type
- journal article
- Language
- en
- Open access
- closed
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