Residual extropy of k-record values

By Jitto Jose, E. I. Abdul Sathar. Statistics and Probability Letters, 2019

62 citations recorded by the source corpus.

Abstract Recently, extropy was defined as an alternative measure of uncertainity to that of entropy. But in measuring uncertainity about remaining lifetime of a component entropy was not much useful and hence residual entropy was formulated. Analogous to residual entropy, residual extropy was defined and used to study about the uncertainity of remaining life of a unit. In this paper, we defined the residual extropy of k -records arising from any continuous distribution in terms of residual extropy of k -records arising from uniform distribution. We also obtain lower bound for residual extropy of upper and lower k -records arising from any continuous probability distribution. Further, we discuss the monotone property of residual extropy of both upper and lower k -records.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6993f9735d6d59c6f29db6ded8fd64acb09b17d7