An index of monotonicity and its estimation: a step beyond econometric applications of the Gini index

zbMath1416.62178MaRDI QIDQ2002952

Youri Davydov, Ričardas Zitikis

Publication date: 12 July 2019

Published in: Metron (Search for Journal in Brave)

zbMATH Keywords

asymptotic distributionconsistencyconcentration functionconvex functionkernel density estimationGini indexmonotone functionPietra index\(L_p\)-distanceindex of monotonicity

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Monotonic functions, generalizations (26A48) Reliability and life testing (62N05)

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Quantifying non-monotonicity of functions and the lack of positivity in signed measures ⋮ Decompositions by sources and by subpopulations of the pietra index: two applications to professional football teams in Italy ⋮ Estimating the index of increase via balancing deterministic and random data

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