Summary
Stochastic models for income patterns are reviewed in the framework of continuous time and income variables. A mechanism leading to the logistic distribution is described, which provides a rationale for the model proposed by Champernowne in 1952.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aitchison, J. and Brown, J.A.C. (1957). The Lognormal Distribution. Cambridge University Press, Cambridge.
Atkinson, A.B. (1970). Journal of Economic Theory, 2, 244–63.
Champernowne, D.G. (1952). Econometrica, 20, 591–615.
Champemowne, D.G. (1953). Economic Journal, 63, 318–51.
Champernowne, D.G. (1973). The Distribution of Income. Cambridge University Press, Cambridge.
Cox, D.R. and Miller, H.D. (1965). The Theory of Stochastic Processes. Methuen, London.
Davis, H.T. (1947). The Theory of Econometrics. Principia, Bloomington.
Feller, W. (1966). An Introduction to Probability Theory, Vol. 2. Wiley, New York.
Fisk, P.R. (1961). Econometrica, 29, 171–85.
Gibrat, R. (1931). Les Inegalites Economiques. Paris.
Harrison, A.J. (1974). Inequality of Income and the Champernowne Distribution. Economics Department, University of Essex.
Ijiri, Y. and Simon, H. (1964). American Economic Review, 54, 77–89.
Ijiri, Y. and Simon, H. (1972). The relative strength of middle- sized firms and the curvature in firm-size distributions. Working Paper, Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh.
Kalecki, M. (1945). Econometrica, 13, 161–70.
Krishnaji, N. (1970). Econometrica, 38, 251–55.
Lydall, H.F. (1959). Econometrica, 27, 110–15.
Mandelbrot, B. (1961). International Economic Review, 1, 79–106.
Ord, J.K. (1972). Families of Frequency Distributions. Griffin, London.
Ord, J.K. (1975). The size of human settlements. (This volume)
Pareto, V. (1897). Cours d’Economie Politique. Lausanne.
Rutherford, R.S.G. (1955). Econometrica, 23, 277–94.
Sargan, J.D. (1957). Econometrica, 25, 568–90.
Steindl, J. (1964). Random Processes and the Growth of Firms. Griffin, London.
Stiglitz, J.E. (1969). Econometrica, 37, 382–97.
Wold, H.O.A. and Whittle, P. (1957). Econometrica, 25, 591–95.
Zipf, G.K. (1949). Human Behaviour and the Principle of Least Effort. Addison-Wesley, Cambridge, Mass.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 D. Reidel Publishing Company, Dordrecht-Holland
About this paper
Cite this paper
Ord, K. (1975). Statistical Models for Personal Income Distributions. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1845-6_13
Download citation
DOI: https://doi.org/10.1007/978-94-010-1845-6_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-1847-0
Online ISBN: 978-94-010-1845-6
eBook Packages: Springer Book Archive