Transformations that minimize the Gini index of a random variable and applications

Michael McAsey () and Libin Mou ()
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Michael McAsey: Bradley University
Libin Mou: Bradley University

The Journal of Economic Inequality, 2022, vol. 20, issue 2, No 10, 483-502

Abstract: Abstract Let X be a continuous or discrete random variable with values in [0,M] and consider all functions (here called transformations) q : [ 0 , M ] → [ 0 , ∞ ) $q:[0,M]\to [0,\infty )$ that are increasing and have given bounded rates B ≤ q ( v ) − q ( u ) v − u ≤ A $B \le \frac {q(v)-q(u)}{v-u} \le A$ for u

Keywords: Gini index; Minimization; Equitable taxation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10888-021-09508-4

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