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Estimation of stress-strength reliability using discrete phase type distribution

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  • Joby K. Jose
  • Drisya M.
  • Manoharan M.

Abstract

In this paper, the stress-strength reliability of single and multi-component systems are estimated assuming discrete phase type distribution for stress and strength components. The systems with strength following mixture of discrete phase type distributions is also considered. Matrix based expressions are obtained for stress-strength reliability and its maximum likelihood estimate is obtained using EM algorithm. The numerical illustration using various special cases of discrete phase type distribution like geometric, negative binomial, generalized negative binomial and different mixtures of discrete distributions are also carried out.

Suggested Citation

  • Joby K. Jose & Drisya M. & Manoharan M., 2022. "Estimation of stress-strength reliability using discrete phase type distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(2), pages 368-386, January.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:2:p:368-386
    DOI: 10.1080/03610926.2020.1749663
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    Cited by:

    1. Li, Jingkui & Lu, Yuze & Liu, Xiaona & Jiang, Xiuhong, 2023. "Reliability analysis of cold-standby phased-mission system based on GO-FLOW methodology and the universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 233(C).

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