Abstract:
In this work, we propose cumulative residual Fisher information and relative cumulative residual Fisher information measures and establish some of their properties. We fi...Show MoreMetadata
Abstract:
In this work, we propose cumulative residual Fisher information and relative cumulative residual Fisher information measures and establish some of their properties. We first show that these cumulative Fisher measures can be expressed based on the hazard function. We then define extended versions of cumulative residual entropy and cumulative residual Fisher information measures based on the Jensen inequality. We also discuss connections between these information measures based on a new version of de Bruijn's identity for survival functions.
Published in: IEEE Transactions on Information Theory ( Volume: 67, Issue: 10, October 2021)