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On Competing Risks with Masked Failures

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Mathematical and Statistical Applications in Life Sciences and Engineering

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Abstract

Competing risks data arise when the study units are exposed to several risks at the same time but it is assumed that the eventual failure of a unit is due to only one of these risks, which is called the “cause of failure”. Statistical inference procedures when the time to failure and the cause of failure are observed for each unit are well documented. In some applications, it is possible that the cause of failure is either missing or masked for some units. In this article, we review some statistical inference procedures used when the cause of failure is missing or masked for some units.

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Acknowledgements

We thank Prof. J. V. Deshpande and Prof. Sangita Kulathinal for several fruitful discussions.

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Authors and Affiliations

  1. Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 7, S. J. S. Sansanwal Marg, New Delhi, 110016, India

    Isha Dewan

  2. Department of Mathematics, Indian Institute of Science Education and Research (IISER), Dr. Homi Bhabha Road, Pashan, Pune, 411008, India

    Uttara Naik-Nimbalkar

Authors
  1. Isha Dewan
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  2. Uttara Naik-Nimbalkar
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Correspondence to Isha Dewan .

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Editors and Affiliations

  1. Department of Pure Mathematics, University of Calcutta, Kolkata, West Bengal, India

    Avishek Adhikari

  2. IMBIC, Kolkata, West Bengal, India

    Mahima Ranjan Adhikari

  3. Department of Mathematics and Statistics, Concordia University, Montreal, Québec, Canada

    Yogendra Prasad Chaubey

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Dewan, I., Naik-Nimbalkar, U. (2017). On Competing Risks with Masked Failures. In: Adhikari, A., Adhikari, M., Chaubey, Y. (eds) Mathematical and Statistical Applications in Life Sciences and Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-5370-2_13

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