Order Properties Concerning Tsallis Residual Entropy

Abstract

With the help of Tsallis residual entropy, we introduce Tsallis quantile entropy order between two random variables. We give necessary and sufficient conditions, study closure and reversed closure properties under parallel and series operations and show that this order is preserved in the proportional hazard rate model, proportional reversed hazard rate model, proportional odds model and record values model.

Keywords

• Tsallis entropy
• Tsallis quantile entropy
• Tsallis residual entropy
• Tsallis quantile entropy order