Dynamic Cumulative Residual Entropy Generating Function and its properties
Statistics Theory
2022-11-11 v1 Statistics Theory
Abstract
In this work, we study the properties of cumulative residual entropy generating function. We then introduce dynamic cumulative residual entropy generating function (DCREGF). It is shown that the DCREGF determines the distribution uniquely. We study some characterization results using the relationship between DCREGF and hazard rate and mean residual life function. A new class of life distribution based on decreasing DCREGF is introduced. Finally we develop a test for decreasing DCREGF and study its performance.
Cite
@article{arxiv.2211.05484,
title = {Dynamic Cumulative Residual Entropy Generating Function and its properties},
author = {Smitha S. and Sudheesh K. K. and Sreedevi E. P.},
journal= {arXiv preprint arXiv:2211.05484},
year = {2022}
}