Weighted extensions of generalized cumulative residual entropy and their applications. Issue 21 (1st November 2020)

• Record Type: Journal Article
• Authors: Tahmasebi, Saeid
• Is Part Of: Communications in statistics. Volume 49:Issue 21(2020)
• Page Start: 5196
• Page End: 5219
• Publication Date: 2020-11-01
• Subjects: Generalized cumulative residual entropy -- weighted mean residual lifetime -- residual lifetime -- upper record values; 62N05 -- 62B10 -- 94A17; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1615094
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: In this paper, we consider weighted extensions of generalized cumulative residual entropy and its dynamic(residual) version. Our results include linear transformations, stochastic ordering, bounds, aging class properties and some relationships with other reliability concepts. We also define the conditional weighted generalized cumulative residual entropy and discuss some properties of its. For these concepts, we obtain some characterization results under some assumptions. Finally, we provide an estimator of the new information measure using empirical approach. In addition, we study large sample properties of this estimator.