Inequality-Weighted Extropy Inaccuracy Measure Based on Record Values

This paper introduces a new measure of inequality-weighted extropy inaccuracy based on record values. The measure bridges information theory and economic inequality analysis by incorporating classical inequality indices such as the Gini coefficient as weighting functions. Theoretical properties of the proposed measure, including non-positivity, symmetry, and decomposition, are investigated. A characterization theorem based on this measure is presented, showing that if the weighted measure is the same for all record values, then the underlying distributions are identical up to a location shift. A dynamic version of the measure for residual income analysis is also introduced. Finally, nonparametric kernel-based estimator of the proposed measure of inaccuracy is developed.

کلیدواژه ها:

Extropy ، Record values ، Income inequality indices ، Inaccuracy measure ، Nonparametric estimation