On proportional odds relevation transform and its applications

Abstract

In this article, we introduce the concept of proportional odds relevation transform. Various reliability properties and some results based on information measures are provided. Important stochastic orders and aging concepts are discussed. Quantile-based definition and its importance are presented. A new lifetime distribution called proportional odds relevated exponential is introduced and discussed its applications with two real datasets.

Keywords:

• Relevation transform
• proportional odds model
• hazard rate
• mean residual life
• aging properties
• stochastic orders

Acknowledgements

We wish to thank the anonymous referees for several constructive comments.

Additional information

Funding

The first author is thankful to University of Calicut for the financial support under Seed Money Research Grant Scheme.