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Some Estimation Techniques in Reliability and Survival Analysis Based on Record-Breaking Data

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Theory and Practice of Risk Assessment

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 136))

Abstract

In this paper we review some of the classical and Bayesian results on statistical inference from records that can be used in reliability and survival analysis. We focus on some important lifetime models, giving special attention to heavy-tailed distributions in order to consider applications of record-breaking data to the study of extreme events. Results on the estimation of the number of observations needed to attain a given number of records are also studied in depth. Numerical illustrations and results on the estimation of cost functions are included as well. This chapter can serve as a guide for people interested in making inferences in the fields of reliability and survival analysis when only record values are available.

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Acknowledgments

The authors thank the referees for their constructive suggestions, which helped to improve the presentation of the paper. Barranco-Chamorro’s research was supported by grant UJA2013/08/01.

Author information

Authors and Affiliations

  1. Departamento de Estadistica e I.O. Facultad de Matematicas, Universidad de Sevilla, Avd. Reina Mercedes s/n, 41012, Sevilla, Spain

    Inmaculada Barranco-Chamorro

  2. Department of Mathematics and Statistics, Florida International University, Miami, FL, 33199, USA

    Sneh Gulati

Authors
  1. Inmaculada Barranco-Chamorro
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  2. Sneh Gulati
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Corresponding author

Correspondence to Inmaculada Barranco-Chamorro .

Editor information

Editors and Affiliations

  1. Technological Educational Institute of Athens, Athens, Greece

    Christos P. Kitsos

  2. Universidade Aberta, Palácio Ceia, Lisbon, Portugal

    Teresa A. Oliveira

  3. Democritus University, Thrace, Germany

    Alexandros Rigas

  4. Florida International University, Miami, Florida, USA

    Sneh Gulati

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Barranco-Chamorro, I., Gulati, S. (2015). Some Estimation Techniques in Reliability and Survival Analysis Based on Record-Breaking Data. In: Kitsos, C., Oliveira, T., Rigas, A., Gulati, S. (eds) Theory and Practice of Risk Assessment. Springer Proceedings in Mathematics & Statistics, vol 136. Springer, Cham. https://doi.org/10.1007/978-3-319-18029-8_25

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