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Relative distribution analysis in Stata

Ben Jann

No 37, University of Bern Social Sciences Working Papers from University of Bern, Department of Social Sciences

Abstract: In this paper I discuss the method of relative distribution analysis and present Stata software implementing various elements of the methodology. The relative distribution is the distribution of the relative ranks that the outcomes from one distribution take on in another distribution. The methodology can be used, for example, to compare the distribution of wages between men and women. Another example would be the analysis of changes in the distribution of earnings over time. Of interest are the relative cumulative distribution (relative CDF), the relative density (relative PDF), as well as summary measures such as the median relative polarization (MRP). The presented software can be used to estimate these quantities and also provides functionality such as location-and-shape decompositions or covariate balancing. Statistical inference is implemented in terms of influence functions and supports estimation for complex samples.

Keywords: relative distribution; relative density; median relative polarization; divergence; reweighting; influence functions (search for similar items in EconPapers)
JEL-codes: C01 C21 C46 C87 (search for similar items in EconPapers)
Pages: 69 pages
Date: 2020-09-18, Revised 2021-06-21
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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https://boris.unibe.ch/146596/29/jann-2020-reldist.pdf Revised version (application/pdf)

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