STOCHASTIC EQUIVALENCE SCALES IN LOG-NORMAL DISTRIBUTIONS OF EXPENDITURES

• Authors: Stanisław Maciej Kot
• Languages of publication: EN

Abstracts

EN

In the paper, the properties of the stochastic equivalence scales (SES) are analysed when expenditure distributions are log-normal. The SES provides the equivalent distribution of expenditures when the population of households is heterogeneous with respect to such attributes as household size, demographic composition, etc. For log-normal expenditure distributions, the non-parametric SES deflators are proportional to the ration of geometric means in compared distributions. The statistical analysis of expenditure distributions for Poland in the years 2005-2010 shows that these deflators perform quite well.

Keywords

EN

equivalence scales expenditure distributions; log-normal distribution

• Publisher: Katedra Ekonometrii i Statystyki, Szkoła Główna Gospodarstwa Wiejskiego w Warszawie
• Journal: Metody Ilościowe w Badaniach Ekonomicznych
• Year: 2013
• Volume: 14
• Issue: 1
• Pages: 276-282

Dates

published

2013

Contributors

author

Stanisław Maciej Kot

• Department of Economic Sciences, Gdansk University of Technology

References

• Blackorby, C. and Donaldson D. (1993) Adult-equivalence scales and the economic implementation of interpersonal comparisons of well-being. Choice and Welfare, 10: 335-361.
• Blundell, R.W., Duncan, A. and Pendakur K. (1998) Semiparametric estimation of consumer demand. Journal of Applied Econometrics, 13: 435-461.
• Blundell, R.W. and Lewbel, A. (1991). The information content of equivalence scales. Journal of Econometrics 150: 49-68.
• Buhmann, B., Rainwater, L., Schmaus, G. and Smeeding, T. (1988) Equivalence scales, well-being, inequality, and poverty: Sensitivity estimates across ten countries using the Luxembourg Income Study (LIS) Database. Review of Income and Wealth, 34:
• 115-142.
• Coulter, F.A.E., Cowell, F.A. and Jenkins, S.P. (1992a) Differences in needs and assessment of income distributions. Bulletin of Economic Research, 44: 77-124.
• Coulter, F.A.E., Cowell, F.A. and Jenkins, S.P. (1992b) Equivalence scale relativities and the extent of inequality and poverty. Economic Journal, 102: 1067-1082.
• Davidson, R. (2008) Stochastic dominance. In S.N. Durlauf and L. E. Blume (eds), The New Palgrave Dictionary of Economics. Second Edition. Palgrave Macmillan.
• Dickens, R., Fry, V. and Pashardes, P. (1993) Nonlinearities, aggregation and equivalence scales. Economic Journal, 103: 359-368.
• Ebert, U. and Moyes, P. (2003) Equivalence scales reconsidered. Econometrica 71:
• 319-343.
• Gozalo, P. (1997) Nonparametric bootstrap analysis with implementation to demographic effects in demand functions. Journal of Econometrics, 81: 357-393.
• Jäntti, M. and Danziger, S. (2000) Poverty in advanced countries. In A.B. Atkinson and F. Bourguignon (eds). Handbook of Income Distribution. Amsterdam: North-Holland.
• Jones, A. and O’Donnell, O (1995).Equivalence scales and the costs of disability. Journal of Public Economics, 56: 273-289.
• Kleiber, C. Kotz, S. (2003) Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken NJ, Wiley &Sons.
• Kot, S.M. (2012) Ku stochastycznemu paradygmatowi ekonomii dobrobytu, Kraków, Impuls.
• Lewbel, A. (1997) Consumer demand systems and household equivalence scales. In M.H. Pesaran and P. Schmidt (eds). Handbook of Applied Econometrics, Volume II: Microeconomics. Oxford: Blackwell Publishers Ltd.
• McDonald J.B. and Y.J. Xu (1995) A generalization of the beta distribution with applications. Journal of Econometrics, 66: 133-152.
• Muellbauer J. (1977) Testing the Barten model of household consumption effects
• and the cost of children. Economic Journal 87: 460-487.
• Pashardes, P. (1995) Equivalence scales in a rank-3 demand system. Journal of Public Economics, 58: 143-158.
• Pendakur, K. (1999) Estimates and tests of base-independent equivalence scales. Journal of Econometrics, 88: 1-40.
• Pollak, R.A. and Wales, T.J. (1979) Welfare comparisons and equivalence scales. American Economic Review, 69: 216-221.
• Pollak, R.A. and Wales, T.J. (1992) Demand System Specification and Estimation. London: Oxford University Press.
• Slesnick, D. (1998) Empirical approaches to the measurement of welfare. Journal of Economic Literature 36: 2108-2165.