Testing exponentiality using extropy of upper record values

TL;DR

This paper introduces a new statistical test for exponential distribution based on extropy of upper record values, with validation through simulations and real data applications.

Contribution

It presents a novel characterization of exponentiality using extropy of upper record values and develops a practical test with simulated critical values and power analysis.

Findings

Test statistic effectively distinguishes exponential distributions.

Simulation results show high test power.

Application to real data confirms practical usefulness.

Abstract

We are giving one characterization result of exponential distribution using extropy of nth upper k-record value. We introduce test statistics based on the proposed characterization result that will be used to test exponentially. The critical value and power of the test have been calculated using monte Carlo simulation. The test is applied to seven real-life data sets to verify its applicability in practice.