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Some reliability properties of extropy for residual and past lifetime random variables

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Abstract

In the present paper, we study the residual extropy using distribution function and quantile function approaches. We also investigate extropy in past lifetime in both approaches. Some characterizations and ageing properties of these extropy measures are proposed. Different stochastic orders based on the residual and past lifetime extropy are also presented.

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Acknowledgements

The first author is thankful to Kerala State Council for Science Technology and Environment (KSCSTE) for the financial support. The second author would like to thank the support of University Grants Commission, India, under the Special Assistance Programme.

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Correspondence to S. M. Sunoj.

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Krishnan, A.S., Sunoj, S.M. & Unnikrishnan Nair, N. Some reliability properties of extropy for residual and past lifetime random variables. J. Korean Stat. Soc. 49, 457–474 (2020). https://doi.org/10.1007/s42952-019-00023-x

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  • DOI: https://doi.org/10.1007/s42952-019-00023-x

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