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Structural Stability of the Joint Distribution of Income and Wealth

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Author Info
Michal Paluch ()
Abstract

This paper analyzes the change over time in the distribution of households' income and financial wealth in Great Britain. Empirical analysis based on the British Family Resources Survey data from the period 1996-2001 examines whether the sequence of these distribution is structurally stable in the sense related to Malinvaud (1993). In order to do this, we look for the local time-invariance of a distribution derived after applying simple transformations like scaling or standardizing to the original distribution. In our study we make use of adaptive bandwidth univariate and bivariate kernel density estimation to identify the changes in shapes of the aforementioned distributions and to perform a nonparametric density time-invariance test as proposed by Li (1996). Our main result is that accounting only for the changes in the vector of means of the original distribution is not sufficient to obtain the desired local time-invariance. In fact, this can be achieved by accounting for changes in the vector of means and dispersion parameters of the original distribution.

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File URL: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonedp/bgse16_2004.pdf
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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse16_2004.

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Length: 20
Date of creation: Aug 2004
Date of revision: Dec 2007
Handle: RePEc:bon:bonedp:bgse16_2004

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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Related research
Keywords: distribution of income and wealth structural stability time-invariance of a distribution

References listed on IDEAS
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  1. Hildenbrand, W. & Kneip, A., 1999. "Demand aggregation under structural stability," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 81-109, February. [Downloadable!] (restricted)
  2. Malinvaud, Edmond, 1993. "A framework for aggregation theories," Ricerche Economiche, Elsevier, vol. 47(2), pages 107-135, June. [Downloadable!] (restricted)
  3. Gottschalk, Peter & Smeeding, Timothy M., 2000. "Empirical evidence on income inequality in industrialized countries," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 5, pages 261-307 Elsevier. [Downloadable!] (restricted)
  4. Quah, Danny T, 1997. " Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," Journal of Economic Growth, Springer, vol. 2(1), pages 27-59, March. [Downloadable!] (restricted)
  5. Werner Hildenbrand & Alois Kneip, 2004. "Aggregate Behavior and Microdata," Bonn Econ Discussion Papers bgse3_2004, University of Bonn, Germany, revised Jun 2004. [Downloadable!]
  6. Hildenbrand, Werner, Alois Kneip, and Klaus Utikal, 1998. "A non parametric analysis of distributions of household income and attributes," Discussion Paper Serie A 575, University of Bonn, Germany. [Downloadable!]
  7. Quah, Danny, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," CEPR Discussion Papers 1586, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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