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Some results on the relative ordering of two frailty models

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Abstract

In this paper, relative behavior of two frailty models with different frailty variables and a common baseline variable are considered. We show that, under some conditions on frailty variables, the ratio of the hazard rate (mean residual life) functions of two frailty models is increasing. Finally, some applications are examined to validate the obtained results.

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Acknowledgments

The authors are grateful to three anonymous referees for making some useful comments on an earlier version of this manuscript. The authors would also like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for funding this Research Group (No. RG-1435-036). This work also was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).

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Author notes

  1. M. Kayid

    Present address: Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, 41522, Egypt

Authors and Affiliations

  1. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabia

    M. Kayid

  2. Department of Statistics, Faculty of Mathematics and Computing, Higher Education Complex of Bam, Kerman, Iran

    S. Izadkhah

  3. School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, P. R. China

    Ming J. Zuo

  4. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, T6G 1H9, Canada

    Ming J. Zuo

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  1. M. Kayid
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  2. S. Izadkhah
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  3. Ming J. Zuo
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Correspondence to M. Kayid.

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Kayid, M., Izadkhah, S. & Zuo, M.J. Some results on the relative ordering of two frailty models. Stat Papers 58, 287–301 (2017). https://doi.org/10.1007/s00362-015-0697-8

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