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Reliability and Survival Analyses: Concepts and Definitions

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Abstract

Both reliability and survival analyses are the specialized fields of mathematical statistics and are developed to deal with the special type of time-to-event random variables. Reliability analysis includes methods related to assessment and prediction of successful operation or performance of products. Nowadays, products are appearing on the market with the assurance that they will perform satisfactorily over its designed useful life. This assurance depends on the reliability of the product. On the other hand, survival analysis includes statistical methods for analyzing the time until the occurrence of an event of interest, where the event can be death, disease occurrence, disease recurrence, recovery, or other experience of interest. This chapter introduces the basic concepts and definitions of some terms used extensively in reliability and survival analyses. It also discusses the importance of reliability and survival analyses and presents the outline of the book.

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Notes

  1. 1.

    Sections of the chapter draw from the co-author’s (Md. Rezaul Karim) previous published work, reused here with permissions (Blischke et al. 2011).

  2. 2.

    Other important terms will be explained in the respective chapters.

  3. 3.

    Sometimes, the survival time refers to how long a specific object survived or will survive.

  4. 4.

    The detail on censored data is given in Chap. 4.

  5. 5.

    This excludes situations arising from preventive maintenance or any other intentional shutdown period during which the system is unable to perform its required function.

  6. 6.

    See Blischke and Murthy (2000) for more details.

  7. 7.

    Mean time to failure is described in Chap. 2.

  8. 8.

    Pisani et al. (2002) mentioned three sources of site-specific survival data.

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Correspondence to Md. Rezaul Karim .

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Karim, M.R., Islam, M.A. (2019). Reliability and Survival Analyses: Concepts and Definitions. In: Reliability and Survival Analysis. Springer, Singapore. https://doi.org/10.1007/978-981-13-9776-9_1

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