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Statistical analysis of competing risks model from Marshall–Olkin extended Chen distribution under adaptive progressively interval censoring with random removals

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  • Xuchao Bai
  • Yimin Shi
  • Yiming Liu
  • Hon Keung Tony Ng
  • Bin Liu

Abstract

In this paper, a new censoring scheme named by adaptive progressively interval censoring scheme is introduced. The competing risks data come from Marshall–Olkin extended Chen distribution under the new censoring scheme with random removals. We obtain the maximum likelihood estimators of the unknown parameters and the reliability function by using the EM algorithm based on the failure data. In addition, the bootstrap percentile confidence intervals and bootstrap-t confidence intervals of the unknown parameters are obtained. To test the equality of the competing risks model, the likelihood ratio tests are performed. Then, Monte Carlo simulation is conducted to evaluate the performance of the estimators under different sample sizes and removal schemes. Finally, a real data set is analyzed for illustration purpose.

Suggested Citation

  • Xuchao Bai & Yimin Shi & Yiming Liu & Hon Keung Tony Ng & Bin Liu, 2019. "Statistical analysis of competing risks model from Marshall–Olkin extended Chen distribution under adaptive progressively interval censoring with random removals," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(15), pages 3683-3702, August.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:15:p:3683-3702
    DOI: 10.1080/03610926.2018.1481973
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