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The Double Pareto-Lognormal Distribution—A New Parametric Model for Size Distributions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Reed, William J. Jorgensen, Murray |
| Copyright Year | 2001 |
| Abstract | 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. |
| Starting Page | 1733 |
| Ending Page | 1753 |
| Page Count | 21 |
| File Format | PDF HTM / HTML |
| DOI | 10.1081/STA-120037438 |
| Alternate Webpage(s) | http://www.math.uvic.ca/faculty/reed/dPlN.3.pdf |
| Alternate Webpage(s) | http://www.math.uvic.ca/faculty/reed/dPlN.pdf |
| Alternate Webpage(s) | https://doi.org/10.1081/STA-120037438 |
| Volume Number | 33 |
| Journal | WWW 2001 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
