On weighted cumulative past (residual) inaccuracy for record values

Abstract

Abstract In this paper, we propose the weighted cumulative past (residual) inaccuracy for record values. For this concept, we obtain some properties and characterization results such as relationships with other reliability functions, bounds, stochastic ordering and effect of linear transformation. Dynamic versions of this weighted measure are considered. We also study a problem of estimating the weighted cumulative past inaccuracy by means of the empirical cumulative inaccuracy for lower record values.

Keywords

• Cumulative past (residual) inaccuracy
• Cumulative entropy
• Lower (upper) record values
• Weighted inaccuracy