RecordNumber
3934
Author
Kumar Vikas
Crop_Body
Vikas Kumar, Rekha Rani, and Nirdesh Singh
Title of Article
Quantile Approach of Generalized Cumulative Residual Information Measure of Order (; )
Title Of Journal
خبرنامه انجمن آمار ايران (JIRSS)
PublishInfo
تهران :انجمن آمار ايران
Publication Year
2020
Volum
19
Issue Number
2
Page
67-99
Keywords
Generalized Entropy , Cumulative Residual Entropy , Order Statistics , Quantile Function , Weighted Entropy
Abstract
In this paper, we introduce the concept of quantile-based generalized
cumulative residual entropy of order (; ) for residual and past lifetimes and study
their properties. Further, we study the proposed information measure for series and
parallel systems when random variables 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 functions.