Comparisons of stationary distributions of linear models
In this note, I compare stationary distributions of the linear model Xn+1=anXn+bn, where an and bn are non-negative random variables. I show that an increase of the variability of an and/or bn causes a less equal stationary distribution in terms of the Lorenz dominance. The result is useful in studies of wealth and income distributions.
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References listed on IDEAS
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- Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011.
"The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents,"
Econometric Society, vol. 79(1), pages 123-157, 01.
- Jess Benhabib & Alberto Bisin, 2009. "The distribution of wealth and fiscal policy in economies with finitely lived agents," NBER Working Papers 14730, National Bureau of Economic Research, Inc.
- Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-39, November.
- Davies, James B, 1986. "Does Redistribution Reduce Inequality?," Journal of Labor Economics, University of Chicago Press, vol. 4(4), pages 538-59, October.
- Becker, Gary S & Tomes, Nigel, 1979. "An Equilibrium Theory of the Distribution of Income and Intergenerational Mobility," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1153-89, December.
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