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Probability Distribution of Lifetimes: Uncensored

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Reliability and Survival Analysis

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Abstract

The survival patterns of different products, components of a system, or lifetimes of a human being or living organisms vary greatly. Hence, different failure time distributions are needed to characterize the diversity contained in the data. This chapter discusses some of the major lifetime distributions (exponential, Weibull, extreme value, normal, and lognormal) applied in reliability and survival analyses. These distributions are used here for analyzing uncensored data only.

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Notes

  1. 1.

    The detail on probability plots can be found in Blischke et al. (2011) and Murthy et al. (2004).

  2. 2.

    The detail on adjusted Anderson–Darling (AD*) can be found in Blischke et al. (2011) and Murthy et al. (2004).

References

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Author information

Authors and Affiliations

  1. Department of Statistics, University of Rajshahi, Rajshahi, Bangladesh

    Md. Rezaul Karim

  2. Institute of Statistical Research and Training, University of Dhaka, Dhaka, Bangladesh

    M. Ataharul Islam

Authors
  1. Md. Rezaul Karim
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  2. M. Ataharul Islam
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Corresponding author

Correspondence to Md. Rezaul Karim .

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© 2019 Springer Nature Singapore Pte Ltd.

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Karim, M.R., Islam, M.A. (2019). Probability Distribution of Lifetimes: Uncensored. In: Reliability and Survival Analysis. Springer, Singapore. https://doi.org/10.1007/978-981-13-9776-9_3

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