Weighted Cumulative Residual (Past) Inaccuracy For Minimum (Maximum) of Order Statistics

Abstract

In this paper, we propose a measure of weighted cumulative residual inaccuracy between survival function of the first-order statistic and parent survival function F̄ . We also consider weighted cumulative inaccuracy measure between distribution of the lastorder statistic and parent distribution F . For these concepts, we obtain some reliability properties and characterization results such as relationships with other functions, bounds, stochastic ordering and effect of linear transformation. Dynamic versions of these weighted measures are considered.