Estimation of extropy function in the presence of measurement error

In scientific analyses, datasets commonly incorporate measurement errors. Disregarding these errors can introduce bias to the estimates and compromise the accuracy of the conclusions drawn. In this context, we focus on estimating the extropy function while accounting for measurement errors. Two distinct estimators for the extropy function are put forth, and their asymptotic properties are derived. To assess the accuracy of these estimators, a simulation study is conducted. Furthermore, the precision of the estimators is validated through an examination of real data.