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ISSN 1352-2469 Distributional Analysis Research Programme Estimating Welfare Indices: Household Weights And Sample Design by Frank Cowell and Stephen Jenkins Discussion Paper Distributional Analysis Research Programme No. DARP 48 The Toyota Centre June 2000 Suntory and Toyota International Centres for Economics and Related Disciplines London School of Economics Houghton Street London WC2A 2AE

Estimating Welfare Indices: Household Weights And Sample Design

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weighteddatadp.dviEstimating Welfare Indices: Household Weights And Sample Design
by
Discussion Paper Distributional Analysis Research Programme No. DARP 48 The Toyota Centre June 2000 Suntory and Toyota International
Centres for Economics and Related Disciplines
London School of Economics Houghton Street
London WC2A 2AE
ABSTRACT
The techniques of simple random sampling are seldom appropriate in the empirical analysis of income distributions. Various types of weighting schemes are usually required either from the point of view of welfare-economic considerations (the mapping of household/family distributions into individual distributions) or from the point of view of sample design. The different types of weights have different implications for the sampling distribution of estimators of welfare indices.
Address for correspondence:
F. A. Cowell STICERD London School of Economics and Political Science Houghton Street, London, WC2A 2AE, UK.
Stephen Jenkins University of Essex Institute for Social and Economic Research Wivenhoe Park Colchester CO4 3SQ UK
Keywords: Welfare index, inequality, poverty, sample, inference. JEL Classifcation: C13, D63.
ACKNOWLEDGEMENT
This research was funded as part of a project on the “Structure of the Income Distribution” financed by the ESRC (grant R000231731). We gratefully acknowledge the intellectual input of Fiona Coulter who discussed in detail with us many of the issues in sections 4 to 6. We wish to thank Joanna Gomulka for comments on an earlier version of this paper and Ceema Namazie for computational assistance. Errors remain our own responsibility.
© Frank A. Cowell and Stephen Jenkins. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source.
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