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.