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Further results involving percentile inactivity time order and its inference

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Abstract

This paper studies a family of stochastic orders of random variables defined via the comparison of their percentile inactivity time functions. Some interpretations of these stochastic orders are given, and various properties of them are derived. The relationships to other stochastic orders are also studied. The estimator of the percentile inactivity time is introduced. Finally, some applications in reliability theory and finance are described.

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Acknowledgments

The author would like to express their sincere gratitude to the anonymous the editor, the associate editor, and the referees for their very constructive and valuable comments and suggestions that add to the quality of the manuscript and increase its readability.

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  1. Department of Statistics, Mathematics, & Insurance, College of Commerce, Benha University, Benha, Egypt

    Mervat Mahdy

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  1. Mervat Mahdy
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Correspondence to Mervat Mahdy.

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Mahdy, M. Further results involving percentile inactivity time order and its inference. METRON 72, 269–282 (2014). https://doi.org/10.1007/s40300-013-0017-9

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  • DOI: https://doi.org/10.1007/s40300-013-0017-9

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