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Statistical Inference of the Competing Risks Model with Modified Weibull Distribution Under Adaptive Type-II Progressive Hybrid Censoring

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Stochastic Models in Reliability, Network Security and System Safety (JHC80 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1102))

Abstract

This paper considers the statistical inference of competing risks model with modified Weibull distribution which not only covers the increasing and decreasing hazard rate function, and also represents a bathtub-shaped hazard rate behavior. Based on the adaptive Type-II progressive hybrid censored data, the maximum likelihood estimations of the unknown parameters are obtained, and then the Bayes approach, combined Gibbs sampling method, is also considered with gamma priors of the scale parameters and vague priors for the shape parameters. Finally, two data sets with a real data set and a Monte Carlo simulate data set are analyzed to investigate the performance of the purposed methods.

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Acknowledgments

This works was supported by the National Natural Science Foundation of China (71571144, 71401134, 11501433, 71171164, 70471057) and the Program of International Cooperation and Exchanges in Science and Technology Funded by Shaanxi Provience (2016KW-033).

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Authors and Affiliations

  1. Northwestern Polytechnical University, Xi’an, 710072, China

    Wang Yan & Shi Yimin

  2. Xi’an Polytechnic University, Xi’an, 710048, China

    Wang Yan

Authors
  1. Wang Yan
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  2. Shi Yimin
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Correspondence to Wang Yan .

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Editors and Affiliations

  1. School of Economics and Management, Beijing University of Technology, Beijing, China

    Quan-Lin Li

  2. School of Management Science and Engineering, Central University of Finance and Economics, Beijing, China

    Jinting Wang

  3. School of Economics and Management, Beijing University of Technology, Beijing, China

    Hai-Bo Yu

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Yan, W., Yimin, S. (2019). Statistical Inference of the Competing Risks Model with Modified Weibull Distribution Under Adaptive Type-II Progressive Hybrid Censoring. In: Li, QL., Wang, J., Yu, HB. (eds) Stochastic Models in Reliability, Network Security and System Safety. JHC80 2019. Communications in Computer and Information Science, vol 1102. Springer, Singapore. https://doi.org/10.1007/978-981-15-0864-6_15

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  • DOI: https://doi.org/10.1007/978-981-15-0864-6_15

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0863-9

  • Online ISBN: 978-981-15-0864-6

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