Characterization results based on non-additive entropy of order statistics

•We propose the measure of Tsallis entropy of order statistics and prove that it characterizes the underlying distribution function uniquely.•We study this measure for various distributions used in lifetime testing and survival analysis.•Also we define the measure of residual Tsallis entropy of order statistics and study some characterization results for it.

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 for that also.