On the truncated Pareto distribution with applications

• Authors: Lorenzo Zaninetti , Mario Ferraro
• Languages of publication: EN

Abstracts

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.

Keywords

EN

statistical distributions; asteroids-meteoroids; stars: luminosity and mass functions

Discipline

• 95.75.-z: Observation and data reduction techniques; computer modeling and simulation
• 96.30.Ys: Asteroids, meteoroids
• 97.10.Xq: Luminosity and mass functions

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 1
• Pages: 1-6

Dates

published

1 - 3 - 2008

online

26 - 3 - 2008

Contributors

author

Lorenzo Zaninetti

• Dipartimento di Fisica Generale, Università degli Studi di Torino via P.Giuria 1, 10125, Torino, Italy

author

Mario Ferraro

• Dipartimento di Fisica Sperimentale, Università degli Studi di Torino via P.Giuria 1, 10125, Torino, Italy

References

• [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)

Identifiers

DOI

10.2478/s11534-008-0008-2