Analysis and applications of the residual varentropy of random lifetimes
Statistics Theory
2020-03-25 v1 Information Theory
math.IT
Probability
Statistics Theory
Abstract
In reliability theory and survival analysis, the residual entropy is known as a measure suitable to describe the dynamic information content in stochastic systems conditional on survival. Aiming to analyze the variability of such information content, in this paper we introduce the variance of the residual lifetimes, "residual varentropy" in short. After a theoretical investigation of some properties of the residual varentropy, we illustrate certain applications related to the proportional hazards model and the first-passage times of an Ornstein-Uhlenbeck jump-diffusion process.
Keywords
Cite
@article{arxiv.2003.04932,
title = {Analysis and applications of the residual varentropy of random lifetimes},
author = {Antonio Di Crescenzo and Luca Paolillo},
journal= {arXiv preprint arXiv:2003.04932},
year = {2020}
}
Comments
20 pages, 9 figures, to appear on "Probability in the Engineering and Informational Sciences"