Arbeitspapier
On the Pareto Type III distribution
This note analyzes the distributional properties of Pareto Type III random variables. The orignal two parameters distribution proposed by Pareto is expanded in a three parameters version and both its density and characteristic function are derived. The analytic expression of the inverse distribution function is also obtained, together with a simple series expansion of its moments of any order. Finally, we propose a simple statistical exercise designed to show the increased reliability of the Pareto Type III distribution in describing asymptotically dumped power-like behaviors.
- Sprache
-
Englisch
- Erschienen in
-
Series: LEM Working Paper Series ; No. 2007/07
- Klassifikation
-
Wirtschaft
- Thema
-
Pareto Distribution
Fat Tails
Power Law Distribution
Zipf Law
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Bottazzi, Giulio
- Ereignis
-
Veröffentlichung
- (wer)
-
Scuola Superiore Sant'Anna, Laboratory of Economics and Management (LEM)
- (wo)
-
Pisa
- (wann)
-
2009
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Bottazzi, Giulio
- Scuola Superiore Sant'Anna, Laboratory of Economics and Management (LEM)
Entstanden
- 2009
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