Weighted Renyi's entropy for lifetime distributions. Issue 14 (18th July 2017)

• Record Type: Journal Article
• Authors: Nourbakhsh, Mohammadreza; Yari, Gholamhoseein
• Is Part Of: Communications in statistics. Volume 46:Issue 14(2017)
• Page Start: 7085
• Page End: 7098
• Publication Date: 2017-07-18
• Subjects: Length-biased measure -- Lifetime distributions -- Past lifetime -- Renyi's entropy -- Residual lifetime.; 62N03 -- 62N05 -- 62N86; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1148729
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Recently, Di Crescenzo and Longobardi (2006 ) have studied "length-biased" shift-dependent information measure and its dynamic versions. On the other hand, Renyi's entropy plays a vital role in the literature of information theory that is a generalization of Shannon's entropy. In this article, the concepts of weighted Renyi's entropy, weighted residual Renyi's entropy, and weighted past Renyi's entropy are introduced and their properties are discussed.