The entropy functions are useful tools to measure the uncertainty in a random variable. Dynamic Cumulative Residual Entropy (DCRE) introduced by Asadi and Zohrevand  as a useful dynamic measure of Cumulative Residual Entropy. They studied some properties and applications of these measures. In this paper, Dynamic Cumulative Residual Entropy is proposed based on order statistics and under conditions is showed a characterization result that Dynamic Cumulative Residual Entropy of order statistics can determine the distribution function uniquely. Then some properties for DCRE of order statistics is presented.
Digital Object Identifier (DOI)
"On Dynamic Cumulative Residual Entropy of Order Statistics,"
Journal of Statistics Applications & Probability: Vol. 5
, Article 15.
Available at: https://dc.naturalspublishing.com/jsap/vol5/iss3/15