A quantile approach of Tsallis entropy for order statistics

The quantile-based entropy measures possess some unique properties than its distribution function approach. In this article, the concept of quantile based Tsallis entropy is extended for order statistics. We prove that the generalized quantile information between ith order statistics and parent random variable is distribution free. Also the quantile version of Tsallis entropy for residual lifetime has been derived and its monotonicity property is studied. Further some characterization results based on the Tsallis quantile entropy for residual and inactivity time for the series and parallel system have been studied.