# Some Results on Cumulative Residual Inaccuracy Measure of k-Record Values

## TL;DR

This paper extends a statistical measure called cumulative residual inaccuracy to k-record values and explores its properties and applications.

## Contribution

The novelty lies in extending the cumulative residual inaccuracy measure to k-record values and analyzing its properties and stochastic ordering.

## Key findings

- The cumulative residual inaccuracy measure is extended to k-record values.
- Properties of the proposed measure are examined.
- The measure is identified for several distributions relevant to science and engineering.

## Abstract

Herein, we consider the significance of cumulative residual entropy (CRE) and its numerous generalizations. This article presents an extension of the cumulative residual inaccuracy to k-record values. We examine certain properties of this measure. Additionally, we investigate some stochastic ordering and identify the proposed measure for several distributions that frequently arise in various realistic scenarios and have applications across multiple fields of science and engineering.