A weighted version of an inaccuracy measure in record statistics using the concept of extropy

In this paper, we introduce a new approach to measure the weighted inaccuracy by utilizing extropy to compare distributions between the nth upper (lower) record value and the parent random variable. We examine the properties of this measure and investigate a characterization problem related to the proposed extropy inaccuracy measure. Additionally, we analyze specific lifetime distribution functions and derive some of their properties. Also, the problem of estimation of this measure is considered and the efficiency is compared in terms of bias and mean squared error. Also, a real dataset with small sample size is given to fit an optimal model to the data by using our estimation of this proposed inaccuracy measure based on the lower record values.