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Some New Results on Residual Entropy

  • N. Unnikrishnan Nair
  • S. M. SunojEmail author
  • Rajesh Ganapathi
Research article
  • 14 Downloads

Abstract

In the present work we discuss some aspects of modelling lifetime data employing residual entropy. Classes of life distributions with bathtub-shaped residual quantile entropy are defined and some new models are presented. Some results on quantile-based stochastic orders are attempted. We also prove characterization of a class of distributions based on relationship between residual entropy and reliability functions.

Keywords

Residual entropy Life distributions Stochastic orders Characterization Reliability modelling 

Mathematics Subject Classification

62N05 94A17 

Notes

Acknowledgements

The authors wish to thank the referee for his/her constructive comments. The second and third authors wish to thank the support of the University Grants Commission (UGC), Government of India, under the Special Assistance Programme.

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Copyright information

© The Indian Society for Probability and Statistics (ISPS) 2019

Authors and Affiliations

  • N. Unnikrishnan Nair
    • 1
  • S. M. Sunoj
    • 1
    Email author
  • Rajesh Ganapathi
    • 1
  1. 1.Department of StatisticsCochin University of Science and TechnologyCochinIndia

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