This note analyzes some properties of the Pareto Type III distribution. A three-parameter version of the original two parameter distribution proposed by Pareto is introduced and both its density and characteristic function are derived. The analytic expression of the inverse distribution function is also obtained, together with an explicit expression of its moments of any order. Finally, a simple statistical exercise is proposed, designed to show the reliability of the Pareto Type III distribution in describing asymptotically dumped power-like behaviors.
On the Pareto Type III Distribution
giulio bottazzi
2022-01-01
Abstract
This note analyzes some properties of the Pareto Type III distribution. A three-parameter version of the original two parameter distribution proposed by Pareto is introduced and both its density and characteristic function are derived. The analytic expression of the inverse distribution function is also obtained, together with an explicit expression of its moments of any order. Finally, a simple statistical exercise is proposed, designed to show the reliability of the Pareto Type III distribution in describing asymptotically dumped power-like behaviors.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
fphy-10-807199.pdf
accesso aperto
Licenza:
PUBBLICO - Pubblico con Copyright
Dimensione
889.35 kB
Formato
Adobe PDF
|
889.35 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
