Long-run Behavior of Macroeconomic Models with Heterogeneous Agents: Asymptotic Behavior of One- and Two-Parameter Poisson-Dirichlet Distributions
This paper discusses a symptotic behavior of one-and two-parameter Poisson-Dirichlet models, that is, Ewens models and its two parameter extensions by Pitman, and show that their a symptotic behavior arevery different. The paper shows asymptotic properties of a class of one-and two-parameter Poisson-Dirichlet distribution models are drastically different. Convergence behavioris expressedin termsof generalized Mittag-Leffler distributions in the statistics literature. The coefficients of variations of suitably normalized number of clusters andof clusters of specific sizesdo not vanish in the two-parameter version, but they do in one-parameter Ewens models.
|Date of creation:||May 2006|
|Contact details of provider:|| Postal: Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033|
Web page: http://www.cirje.e.u-tokyo.ac.jp/index.html
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- De Fabritiis, Gianni & Riccaboni, Massimo & Pammolli, Fabio, 2003.
"On Size and Growth of Business Firms,"
15866, University Library of Munich, Germany.
- De Fabritiis, G. & Pammolli, F. & Riccaboni, M., 2003. "On size and growth of business firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 38-44.
- Zhi-Feng Huang, Sorin Solomon*, 2001.
"Power, Levy, Exponential and Gaussian Regimes in Autocatalytic Financial Systems,"
Computing in Economics and Finance 2001
12, Society for Computational Economics.
- Zhi-Feng Huang & Sorin Solomon, 2000. "Power, Levy, Exponential and Gaussian Regimes in Autocatalytic Financial Systems," Papers cond-mat/0008026, arXiv.org.
When requesting a correction, please mention this item's handle: RePEc:tky:fseres:2006cf425. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CIRJE administrative office)
If references are entirely missing, you can add them using this form.