We consider a non-additive generalization of the Shannon entropy measure using order statistics and show that this entropy measure characterizes the distribution function uniquely. Further we propose a residual non-additive entropy measure for order statistics and prove a characterization result...

We propose the measure of residual inaccuracy of order statistics and prove a characterization result for it. Further we characterize some specific lifetime distributions using residual inaccuracy of the first order statistics. We also discuss some properties of the proposed measure.