Dynamic cumulative residual entropy generating function and its properties

Authors

S. Smitha, K E College Mannanam
Sudheesh K. Kattumannil, Indian Statistical Institute Chennai
E. P. Sreedevi, Cochin University of Sceince and Technology

Article Type

Research Article

Publication Title

Communications in Statistics Theory and Methods

Abstract

In this work, we study the properties of the cumulative residual entropy generating function (CREGF). We also discuss the non parametric estimation of CREGF. We 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, hazard rate, and mean residual life function. A new class of life distributions based on decreasing DCREGF is introduced. Finally, we develop a test for decreasing DCREGF and study its performance.

First Page

5890

Last Page

5909

DOI

10.1080/03610926.2023.2235448

Publication Date

1-1-2024

Recommended Citation

Smitha, S.; Kattumannil, Sudheesh K.; and Sreedevi, E. P., "Dynamic cumulative residual entropy generating function and its properties" (2024). Journal Articles. 4732.
https://digitalcommons.isical.ac.in/journal-articles/4732