The two-parameter Ewens distribution: A finitary approach

Journal of Economic Interaction and Coordination

Volumn 2, Issue 2, 2007, Pages 147-161

  Garibaldi, U ^a   Costantini, D ^a   Viarengo, P ^b  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35748958696     PISSN: 1860711X     EISSN: 18607128     Source Type: Journal    
DOI: 10.1007/s11403-007-0022-2     Document Type: Article

References (22)

1. Aoki M (1996) New approaches to macroeconomic modeling: evolutionary stochastic dynamics, multiple equilibria, and externalities as field effects. Cambridge University Press, New York
2. Aoki M (2000) Cluster size distributions of economic agents of many types in a market. J Math Anal Appl 249:32-52
3. Aoki M (2002) Modeling aggregate behavior and fluctuations in economics. Cambridge University Press, Cambridge, UK
4. Aoki M, Yoshikawa H (2007) Reconstructing macroeconomics: a perspective form statistical physics and combinatorial stochastic processes. Cambridge University Press, New York
5. Axtell RL (1999) The emergence of firms in a population of agents: local increasing returns. and power law size distribution, Working paper no 3, Brooking Institutions
6. Axtell RL (2001) Zipf distribution of U.S. firm sizes. Science 293:1818-1820
7. Costantini D, Garibaldi U (2004) The Ehrenfest model: from model to theory. Synthese 1398:107-142
8. Ehrenfest P, Ehrenfest T (1907) Ueber zwei bekannte Einwaende gegen Boltzmanns H-Theorem. Phys Zeitschrift 8(1):311-316
9. Ewens WJ (1972) The sampling theory of selectively neutral alleles. Theor Popul Biol 3:87-112
10. Garibaldi U, Penco MA, Viarengo P (2003a) An exact physical approach for market participation models. In: Cowan R, Jonard N (eds) Heterogeneous agents, interactions and economic performance, Lecture Notes in Economics and Mathematical Systems, vol 521, Springer, Heidelberg
11. Garibaldi U, Costantini D, Viarengo P (2003b) A finite characterization of Ewens sampling formula. Adv Complex Syst 7(2):265-284
12. Garibaldi U, Costantini D, Viarengo P (2005) A finitary characterization of Ewens sampling formula. In: Lux T, Reitz S, Samanidou E (eds) Nonlinear dynamics and eterogeneous interacting agents. Lecture Notes in Economics and Mathematical Systems Series, pp 221-236, Springer, Berlin
13. Gibrat R (1931) Les inegalities economique:. la loi dell'effet proportionnel. Libraire du Recueil Sirey, Paris
14. Hansen B, Pitman J (2000) Prediction rules for exchangeable sequences related to species sampling. Statist Prob Lett 46:251-256
15. Hoppe FM (1987) The sampling theory of neutral alleles and an urn model in population genetics. J Math Biol 25(2):123-159
16. Karlin S, Taylor HM (1981) A second course in stochastic processes. Academic, New York
17. Kingman JFC (1978) The representation of partition structures. J Lond Math Soc 18:374-380
18. Newman MEJ (2005) Power laws, Pareto distributions and Zipf's law, arXiv:cond-mat/0412004 v2
19. Pitman J (1992) The two-parameter generalization of Ewens' random partition structure, Tech Rep No 345, Department of Statistics, Berkeley University
20. Pitman J, Yor M (1996) The two-parameter Poisson-Dirichlet distribution derived by a stable subordinator. Ann Prob 28:855-900
21. Zabell S (1992) Predicting the unpredictable. Synthese 90:205-232
22. Zabell S (1996) The continuum of inductive methods revisited. In: Earman J, Norton J (eds) The cosmos of science. University Pittsburgh Press University Konstanz