Characterization of exponential distribution using extropy based on lower [formula omitted]-records and its application in testing exponentiality

Abstract

The study proposes a new test for testing the exponentiality in the distribution of the data observed on a random variable. The test for exponentiality has been constructed using a characterization result based on the extropy of lower k-record values. The empirical density and critical values of the newly proposed test statistic have been obtained in this work. The study also analyses the performance of the test statistic based on the power values computed using Monte-Carlo simulation methods and a comparison study with 16 competitor tests has been carried out. Moreover, the test procedure has been implemented on four real-life data sets to verify its performance in comparison to some of the well-known goodness-of-fit statistics. The present study discusses the importance and advantages of the proposed test procedure as well.