Title of article :
Quantile Approach of Generalized Cumulative Residual Information Measure of Order (; )
Author/Authors :
Kumar, Vikas Department of Applied Sciences - UIET - M. D. University, india , Rani , Rekha Department of Applied Sciences - UIET - M. D. University, india , Singh, Nirdesh Department of Electrical Engineering - DCRUST - Murthal Sonipat, India
Abstract :
In this paper, we introduce the concept of quantile-based generalized cumulative residual entropy of order $(alpha,beta)$ for residual and past lifetimes and study their properties. Further we study the proposed information measure for series and parallel system when random variable are untruncated or truncated in nature and some characterization results are presented. At the end, we study generalized weighted dynamic cumulative residual entropy in terms of quantile function.
Keywords :
Generalized entropy , Cumulative residual entropy , Order statistics , Quantile function , Weighted entropy
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
