SUMDIST: Stata module to calculate summary statistics for income distributions
Stephen P. Jenkins
sumdist estimates distributional summary statistics commonly used by income distribution analysts, complementing those available via pctile, xtile, and summarize, detail. For variable x and distribution function F(x), the statistics are (1) quantiles k=1,2,...,m-1, for m = # quantile groups; (2) the quantiles expressed as a percentage of median(x); (3) the quantile group share of x in total x (group income share, %); (4) the cumulative quantile group shares of total x (with cumulation in ascending order of x), i.e. the Lorenz ordinates L(p) at each p_k = F(x_k) for quantile points x_k; and (5) the generalised Lorenz ordinates at each p_k = F(x_k), i.e. GL(p_k) = mean(x)*L(p_k). See also svylorenz.
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