Varextropy of doubly truncated random variable

TL;DR

This paper introduces the concept of varextropy for doubly truncated random variables, explores its properties, and proposes estimators with simulation and application demonstrations.

Contribution

It is the first to define and analyze varextropy for doubly truncated variables, including properties, bounds, and estimation methods.

Findings

Derived bounds for interval varextropy.

Proposed and evaluated three estimators.

Applied estimators in a practical context.

Abstract

Recently, there has been growing attention to study uncertainty measures for doubly truncated random variables. In this paper, the concept of varextropy for doubly truncated random variables is introduced. The changes of this measure under linear transforms are investigated. Also, lower and upper bounds for the interval varextropy under some conditions are obtained and some other properties for this measure are proved. In the following, three estimators for the interval varextropy are proposed. A simulation study has been carried out to investigate the behavior of estimators. At the end, an application for these estimators is proposed.