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2008 | 6 | 1 | 1-6
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On the truncated Pareto distribution with applications

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The Pareto probability distribution is widely applied in different fields such us finance, physics, hydrology, geology and astronomy. This note deals with an application of the Pareto distribution to astrophysics and more precisely to the statistical analysis of masses of stars and of diameters of asteroids. In particular a comparison between the usual Pareto distribution and its truncated version is presented. Finally, a possible physical mechanism that produces Pareto tails for the distribution of the masses of stars is presented.
Wydawca

Czasopismo
Rocznik
Tom
6
Numer
1
Strony
1-6
Opis fizyczny
Daty
wydano
2008-03-01
online
2008-03-26
Twórcy
  • Dipartimento di Fisica Generale, Università degli Studi di Torino via P.Giuria 1, 10125, Torino, Italy, zaninetti@ph.unito.it
  • Dipartimento di Fisica Sperimentale, Università degli Studi di Torino via P.Giuria 1, 10125, Torino, Italy, ferraro@ph.unito.it
Bibliografia
  • [1] V. Pareto, Cours d’ economie politique (Rouge, Lausanne, 1896)
  • [2] M. Evans, N. Hastings, P. Peacock, Statistical Distributions, 3rd edition (John Wiley & Sons Inc, New York, 2000)
  • [3] A. Cohen, B. Whitten, Parameter Estimation in reliability and Life Span Models (Marcel Dekker, New York, 1988)
  • [4] D. Devoto, S. Martnez, Math. Geol. 30, 661 (1998) http://dx.doi.org/10.1023/A:1022391218233[Crossref]
  • [5] I. Aban, M. Meerschaert, A. Panorska, J. Am. Stat. Assoc. 101, 270 (2006) http://dx.doi.org/10.1198/016214505000000411[Crossref]
  • [6] K. Rehfeldt, J.M. Boggs, L.W. Gelhar, Water Resour. Res. 28, 3309 (1992) http://dx.doi.org/10.1029/92WR01758[Crossref]
  • [7] E.E. Salpeter, Astrophys. J. 121, 161 (1955) http://dx.doi.org/10.1086/145971[Crossref]
  • [8] P. Kroupa, Monthly Notices of the RAS 322, 231 (2001) http://dx.doi.org/10.1046/j.1365-8711.2001.04022.x[Crossref]
  • [9] K.R. Lang, Astrophysical formulae (Springer, New York, 1999)
  • [10] R. Schlickeiser, Cosmic ray astrophysics (Springer, Berlin, 2002) [WoS]
  • [11] E.M. Rossi, Nuovo Cimento C 28, 387 (2005)
  • [12] J.S. Bloom, D.A. Frail, R. Sari, Astron. J. 121, 2879 (2001) http://dx.doi.org/10.1086/321093[Crossref]
  • [13] M. Abramowitz, I.A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables (Dover, New York, 1965)
  • [14] D. von Seggern, CRC Standard Curves and Surfaces (CRC, New York, 1992)
  • [15] W.J. Thompson, Atlas for computing mathematical functions (Wiley-Interscience, New York, 1997)
  • [16] I. Gradshteyn, I. Ryzhik, Table of Integrals, Series, and Products (Academic Press, San Diego, 2000)
  • [17] A. Prudnikov, O. Brychkov, Y. Marichev, Integrals and Series (Gordon and Breach Science Publishers, Amsterdam, 1986)
  • [18] M. Masoom Ali, S. Nadarajah, Comput. Commun. 30, 1 (2006) http://dx.doi.org/10.1016/j.comcom.2006.07.003[Crossref]
  • [19] L. Zaninetti, Astronomische Nachrichten 326, 754 (2005) http://dx.doi.org/10.1002/asna.200510408[Crossref]
  • [20] L. Zaninetti, A. Cellino, V. Zappala, Astronom. Astrophys. 294, 270 (1995)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0008-2
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