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Variance Estimation for Richness Measures

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  • Michal Brzezinski

Abstract

Richness indices are distributional statistics used tomeasure incomes, earnings or wealth of the rich. This paper uses a linearization method to derive the sampling variances for recently introduced two classes of distributionally-sensitive richness measures, when estimated from survey data. The results are derived for both absolute and relative richness lines. The approach used allows easily to take into account the effects of complex sampling design. The variance formulae are illustrated with a comparison of wealth richness in Canada, Sweden, the United Kingdom and the United States.

Suggested Citation

  • Michal Brzezinski, 2011. "Variance Estimation for Richness Measures," LWS Working papers 11, LIS Cross-National Data Center in Luxembourg.
    • Handle: RePEc:lis:lwswps:11
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    More about this item

    Keywords

    richness; affluence; distributional indices; variance estimation; statistical inference;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

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