On weighted measure of inaccuracy for doubly truncated random variables

TL;DR

This paper introduces a weighted interval inaccuracy measure for two-sided truncated random variables, extending previous measures to better analyze system reliability and failure characteristics within specific time intervals.

Contribution

It proposes a new weighted interval inaccuracy measure for two-sided truncated variables, generalizing recent dynamic measures and providing characterization results.

Findings

The measure helps analyze system failure between two time points.

Characterization results for the new measure are provided.

It extends existing inaccuracy measures to two-sided truncation.

Abstract

Recently, authors have studied weighted version of Kerridge inaccuracy measure for truncated distributions. In the present communication we introduce the notion of weighted interval inaccuracy measure for two-sided truncated random variables. In reliability theory and survival analysis, this measure may help to study the various characteristics of a system/component when it fails between two time points. Various aspects of weighted interval inaccuracy measure have been discussed and some characterization results have been provided. This new measure is a generalization of recent dynamic weighted inaccuracy measure.