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International Conference Series on Soft Methods in Probability and Statistics

SMPS 2018: Uncertainty Modelling in Data Science pp 1–8Cite as

Imprecise Statistical Inference for Accelerated Life Testing Data: Imprecision Related to Log-Rank Test

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 832))

Abstract

In this paper we consider an imprecise predictive inference method for accelerated life testing. The method is largely nonparametric, with a basic parametric function to link different stress levels. We discuss in detail how we use the log-rank test to provide adequate imprecision for the link function parameter.

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References

  1. Augustin, T., Coolen, F., de Cooman, G., Troffaes, M.: Introduction to Imprecise Probabilities. Wiley, Chichester (2014)

    Book  Google Scholar 

  2. Coolen, F.: Nonparametric predictive inference. In: International Encyclopedia of Statistical Science, pp. 968–970. Springer, Berlin (2011)

    Chapter  Google Scholar 

  3. Gehan, E.: A generalized Wilcoxon test for comparing arbitrarily singly-censored samples. Biometrika 52, 203–224 (1965)

    Article  MathSciNet  Google Scholar 

  4. Mantel, N.: Evaluation of survival data and two new rank order statistics arising in its consideration. Cancer Chemother. Rep. 50, 163–170 (1966)

    Google Scholar 

  5. Nelson, W.: Accelerated Testing: Statistical Models, Test Plans, and Data Analysis. Wiley, New Jersey (1990)

    Book  Google Scholar 

  6. Peto, R., Peto, J.: Asymptotically efficient rank invariant test procedures. J. R. Stat. Soc. Ser. A 135, 185–207 (1972)

    Article  Google Scholar 

  7. Benavoli, A., Mangili, F., Corani, G., Zaffalon, M., Ruggeri, F.: A Bayesian Wilcoxon signed-rank test based on the Dirichlet process. In: Proceedings of the 30th International Conference on Machine Learning (ICML 2014), pp. 1–9 (2014)

    Google Scholar 

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Acknowledgements

Abdullah A.H. Ahmadini gratefully acknowledges the financial support received from Jazan University in Saudi Arabia and the Saudi Arabian Cultural Bureau (SACB) in London for pursuing his Ph.D. at Durham University. The authors thank two reviewers of this paper for supportive comments and suggestions.

Author information

Authors and Affiliations

  1. Department of Mathematics Science, Durham University, Durham, UK

    Abdullah A. H. Ahmadini & Frank P. A. Coolen

  2. Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia

    Abdullah A. H. Ahmadini

Authors
  1. Abdullah A. H. Ahmadini
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  2. Frank P. A. Coolen
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Corresponding author

Correspondence to Abdullah A. H. Ahmadini .

Editor information

Editors and Affiliations

  1. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Sébastien Destercke

  2. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Thierry Denoeux

  3. Department of Statistics and Operational Research and Mathematics Didactics, University of Oviedo, Oviedo, Asturias, Spain

    María Ángeles Gil

  4. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

  5. Department of Stochastic Methods, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Olgierd Hryniewicz

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Ahmadini, A.A.H., Coolen, F.P.A. (2019). Imprecise Statistical Inference for Accelerated Life Testing Data: Imprecision Related to Log-Rank Test. In: Destercke, S., Denoeux, T., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Uncertainty Modelling in Data Science. SMPS 2018. Advances in Intelligent Systems and Computing, vol 832. Springer, Cham. https://doi.org/10.1007/978-3-319-97547-4_1

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