A theory of multidimensional poverty measures for ordinal variables with endogenous weights
We build multidimensional fuzzy versions of the headcount and the Foster-Greer- Thorbecke poverty indexes comprised of ordinal variables. To do that, we de ne ordinal expectation and ordinal variance for ordinal variables and extend Theils theory of dual variability to ordinal categorical variables, which allows us to make the weights of our multidimensional fuzzy poverty measures endogenous.
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