We have proposed measures of cumulative entropy and dynamic cumulative entropy based on order statistics and derived a characterization result that dynamic cumulative entropy of the ith order statistics determines the distribution function uniquely. Some properties of the measures proposed have also been studied.
Digital Object Identifier (DOI)
Thapliyal, Richa; Kumar, Vikas; and H.C.Taneja
"On Dynamic Cumulative Entropy of Order Statistics,"
Journal of Statistics Applications & Probability: Vol. 2
, Article 6.
Available at: https://dc.naturalspublishing.com/jsap/vol2/iss1/6