Some characterizations of continuous symmetric distributions based on extropy of record values

Using different extropies of k record values various characterizations are provided for continuous symmetric distributions. The results are in addition to the results of Ahmadi (Stat Pap 62:2603–2626, 2021). These include cumulative residual (past) extropy, generalised cumulative residual (past) extropy, also some common Kerridge inaccuracy measures. Using inaccuracy extropy measures, it is demonstrated that continuous symmetric distributions are characterised by an equality of information in upper and lower k-records. The applicability of the suggested test is then demonstrated using three real data sets by observing the p-values of our test.