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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- 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.
Other important terms will be explained in the respective chapters.
- 3.
Sometimes, the survival time refers to how long a specific object survived or will survive.
- 4.
The detail on censored data is given in Chap. 4.
- 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.
See Blischke and Murthy (2000) for more details.
- 7.
Mean time to failure is described in Chap. 2.
- 8.
Pisani et al. (2002) mentioned three sources of site-specific survival data.
References
Blischke WR, Murthy DNP (2000) Reliability. Wiley, New York
Blischke WR, Karim MR, Murthy DNP (2011) Warranty data collection and analysis. Springer, London Limited
Dhillon BS (2007) Applied reliability and quality: fundamentals, methods and procedures. Springer, London Limited
IEC 50 (191) (1990) International electrotechnical vocabulary (IEV) Chapter 191- Dependability and quality of service. In: International electrotechnical commission, Geneva
Ireson WG (1996) Reliability information collection and analysis (Chapter 10). In: Ireson WG, Coombs CF, Moss RY(eds) Handbook of reliability engineering and management, 2nd edn, New York, McGraw Hill
ISO 8402 (1986) Quality vocabulary. International Standards Organization, Geneva
ISO 8402 (1994) Quality Vocabulary. International Standards Organization, Geneva
Jewell NP, Kimber AC, Lee MLT, Whitmore GA (eds) (1996) Lifetime data: models in reliability and survival analysis. Springer, US
Kenett RS, Baker E (2010) Process improvement and CMMI® for systems and software. CRC Press
Klein JP, Moeschberger ML (2003) Survival analysis: techniques for censored and truncated data, 2nd edn. Springer
Kleinbaum DG, Klein M (2012) Survival analysis: a self-learning text, 3rd edn. Springer, New York
Klinger DJ, Nakada Y, Menendez MA (1990) AT&T reliability manual. Van Nostrand-Reinhold, New York
Lawless JF (1982) Statistical models and methods for lifetime data. Wiley, New York
Meeker WQ, Escobar LA (1998) Statistical methods for reliability data. Wiley, New York
MIL-HDBK-217E (1986) Reliability prediction for electronic equipment. Available from naval publications and forms center, 5801 Tabor Ave, Philadelphia, PA 19120
Moore DF (2016) Applied survival analysis using R. Springer, Berlin
Nieuwhof GWE (1984) The concept of failure in reliability engineering. Reliab Eng 7:53–59
NIST (2019) Engineering statistics handbook, NIST/SEMATECH e-Handbook of statistical methods. http://www.itl.nist.gov/div898/handbook/index.htm. Accessed May 23, 2019
Pisani P, Bray F, Parkin DM (2002) Estimates of the world-wide prevalence of cancer for 25 sites in the adult population. Int J Cancer 97:72–81
Rausand M, Oien K (1996) The basic concept of failure analysis. Reliab Eng Sys Saf 53:73–83
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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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DOI: https://doi.org/10.1007/978-981-13-9776-9_1
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