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Remarks on a model of competitive bidding for employment

Published online by Cambridge University Press:  14 July 2016

Anthony G. Pakes
Anthony G. Pakes*
Affiliation:
The University of Western Australia
*
∗ Postal address: Department of Mathematics, The University of Western Australia, Nedlands, WA 6009, Australia.
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Abstract

Arnold and Laguna introduced a model for income distributions in which the income of the present generation of individuals has the same distribution as the minimum of a random number Nn of independent copies of some random variable and {Nn} is independent. The present paper gives a fairly complete analysis of this model and a number of extensions of it.

Keywords

INCOME DISTRIBUTIONSBRANCHING PROCESSSAMPLE EXTREMES
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 2 , June 1983 , pp. 349 - 357
Copyright
Copyright © Applied Probability Trust 1983 

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References

[1] Arnold, B. C. (1982) Pareto Distributions.Google Scholar
[2] Arnold, B. C. and Laguna, L. (1976) A stochastic mechanism leading to asymptotically Paretian distributions. Business and Economics Sect., Proc. Amer. Statist. Assoc., 208–210.Google Scholar
[3] Athreya, K. B. and Ney, P. E. (1972) Branching Processes. Springer-Verlag, Berlin.CrossRefGoogle Scholar
[4] Cohn, H. (1982) On a property related to a convergence in probability and some applications to branching processes. Stoch. Proc. Appl. 12 Google Scholar
[5] Dubuc, S. (1971a) La densité de la loi-limite d'un processus en cascade expansif. Z. Wahrscheinlichkeitsth. 19, 281–290.CrossRefGoogle Scholar
[6] Dubuc, S. (1976) Problèmes relatifs a l'itération de fonctions suggérés par les processus en cascade. Ann. Inst. Fourier 21, 171–251.CrossRefGoogle Scholar
[7] Galambos, J. (1978) The Asymptotic Theory of Extreme Order Statistics. Wiley, New York.Google Scholar
[8] Goettge, R. T. (1975) Limit theorems for the supercritical Galton–Watson process in varying environments. Math. Biosci. 28, 171–190.Google Scholar
[9] Johnson, N. L. and Kotz, S. (1970) Continuous Univariate Distributions—I. Houghton-Mifflin, Boston.Google Scholar
[10] Seneta, E. (1974) Regularly varying functions in the theory of simple branching processes. Adv. Appl. Prob. 6, 408–420.Google Scholar
[11] Seneta, E. (1976) Regularly Varying Functions. Lecture Notes in Mathematics 508, Springer-Verlag, Berlin.CrossRefGoogle Scholar