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Some New Results on Residual Entropy

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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.

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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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Correspondence to S. M. Sunoj.

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Nair, N.U., Sunoj, S.M. & Ganapathi, R. Some New Results on Residual Entropy. J Indian Soc Probab Stat 20, 185–199 (2019). https://doi.org/10.1007/s41096-019-00067-6

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  • DOI: https://doi.org/10.1007/s41096-019-00067-6

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