The extropy is a measure of information introduced as dual to entropy. It is a shift-independent information measure just as the entropy. We introduce here the notion of weighted extropy, a shiftdependent information measure which gives higher weights to larger values of random variables. We also study the weighted residual and past extropies as weighted versions of extropy for residual and past lifetimes. Bivariate versions extropy and weighted extropy are also described. Several examples are presented through out to illustrate all the concepts introduced here.
On weighted extropies / Balakrishnan, Narayanaswamy; Buono, Francesco; Longobardi, Maria. - In: COMMUNICATIONS IN STATISTICS. THEORY AND METHODS. - ISSN 0361-0926. - (2020). [10.1080/03610926.2020.1860222]
On weighted extropies
Francesco Buono;and Maria Longobardi
2020
Abstract
The extropy is a measure of information introduced as dual to entropy. It is a shift-independent information measure just as the entropy. We introduce here the notion of weighted extropy, a shiftdependent information measure which gives higher weights to larger values of random variables. We also study the weighted residual and past extropies as weighted versions of extropy for residual and past lifetimes. Bivariate versions extropy and weighted extropy are also described. Several examples are presented through out to illustrate all the concepts introduced here.| File | Dimensione | Formato | |
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