Dynamic Cumulative Residual and Past Inaccuracy Measures

Abstract

In this paper, we have developed measures of dynamic cumulative residual and past inaccuracy. We have studied characterization results under proportional hazard model in case of dynamic cumulative residual inaccuracy and under proportional reversed hazard model in case of dynamic cumulative past inaccuracy measure. We have characterized certain specific lifetime distributions using the measures proposed. Some generalized results have also been considered.

Keywords

• Shannon entropy; Cumulative residual entropy; Cumulative inaccuracy measure; Mean residual life function; Proportional hazard model.