Weighted entropies and their estimations. Issue 5 (3rd May 2020)

• Record Type: Journal Article
• Authors: Nourbakhsh, Mohammadreza; Yari, Gholamhossein; Mehrali, Yaser
• Is Part Of: Communications in statistics. Volume 49:Issue 5(2020)
• Page Start: 1142
• Page End: 1158
• Publication Date: 2020-05-03
• Subjects: Cumulative entropy -- Empirical cumulative entropy -- Lifetime distributions -- Proportional reversed hazard rate model -- Uncertainty measure; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2016.1140776
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: In this article, some new results and inequalities of dynamic failure entropy (DFE) defined by the author Abbasnejad in 2011 will be obtained. Then weighted versions of failure and survival entropies of order β introduced and some properties and inequalities based on these uncertainty measures found. Then weighted DFE will be introduced and some properties investigated. Finally, empirical cumulative entropy is applied to estimate new information measures.