Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 52, 2023 - Issue 1
Submit an article Journal homepage
209
Views
4
CrossRef citations to date
0
Altmetric
Articles

Reliability of a system under a new mixed shock model

Ali DoostmoradiDepartment of statistics, Shahid Chamran University of Ahvaz, Ahvaz, IranORCID Iconhttps://orcid.org/0000-0002-3642-7482View further author information
ORCID Icon,
Mohammad Reza AkhoondDepartment of statistics, Shahid Chamran University of Ahvaz, Ahvaz, IranCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-7872-2773View further author information
ORCID Icon &
Mohammad Reza ZadkaramiDepartment of statistics, Shahid Chamran University of Ahvaz, Ahvaz, IranORCID Iconhttps://orcid.org/0000-0002-8495-6549View further author information
ORCID Icon
Pages 156-169 | Received 05 Mar 2020, Accepted 25 Mar 2021, Published online: 27 Apr 2021

References

  • Bai, J. M., Z. G. Zhang, and Z. H. Li. 2014. Lifetime properties of a cumulative shock model with a cluster structure. Annals of Operations Research 212 (1):21–41. doi:10.1007/s10479-012-1255-6.
  • Bozbulut, A. R., and S. Eryilmaz. 2020. Generalized extreme shock models and their applications. Communications in Statistics - Simulation and Computation 49 (1):110–20. doi:10.1080/03610918.2018.1476699.
  • Cha, J. H., and M. Finkelstein. 2011. On new classes of extreme shock models and some generalizations. Journal of Applied Probability 48 (1):258–70. doi:10.1239/jap/1300198148.
  • Eryilmaz, S. 2013. On the lifetime behavior of a discrete time shock model. Journal of Computational and Applied Mathematics 237 (1):384–88. doi:10.1016/j.cam.2012.06.008.
  • Eryilmaz, S. 2015a. Assessment of a multi-state system under a shock model. Applied Mathematics and Computation 269:1–8. doi:10.1016/j.amc.2015.06.129.
  • Eryilmaz, S. 2015b. Discrete time shock models in a Markovian environment. IEEE Transactions on Reliability 65 (1):141–46. doi:10.1109/TR.2015.2427800.
  • Eryılmaz, S. 2012. Generalized δ-shock model via runs. Statistics & Probability Letters 82 (2):326–31. doi:10.1016/j.spl.2011.10.022.
  • Eryilmaz, S., and K. Bayramoglu. 2014. Life behavior of δ -shock models for uniformly distributed interarrival times. Statistical Papers 55 (3):841–52. doi:10.1007/s00362-013-0530-1.
  • Eryilmaz, S., and M. Tekin. 2019. Reliability evaluation of a system under a mixed shock model. Journal of Computational and Applied Mathematics 352:255–61. doi:10.1016/j.cam.2018.12.011.
  • Lorvand, H., A. Nematollahi, and M. H. Poursaeed. 2020a. Life distribution properties of a new δ-shock model. Communications in Statistics-Theory and Methods 49 (12):3010–25. doi:10.1080/03610926.2019.1584316.
  • Lorvand, H., A. Nematollahi, and M. H. Poursaeed. 2020b. On the life distribution behavior of the generalized mixed δ-shock models for the multi-state systems. Iranian Journal of Science and Technology, Transactions A: Science 44 (3):839–50. doi:10.1007/s40995-020-00884-6.
  • Mallor, F., and E. Omey. 2001. Shocks, runs and random sums. Journal of Applied Probability 38 (2):438–48. doi:10.1239/jap/996986754.
  • Montoro-Cazorla, D., and R. Pérez-Ocón. 2015. A reliability system under cumulative shocks governed by a BMAP. Applied Mathematical Modelling 39 (23-24):7620–29. doi:10.1016/j.apm.2015.03.066.
  • Parvardeh, A., and N. Balakrishnan. 2015. On mixed δ-shock models. Statistics & Probability Letters 102:51–60. doi:10.1016/j.spl.2015.04.006.
  • Poursaeed, M. H. 2020. On δ-shock model in a multi-state system. Communications in Statistics-Theory and Methods 49 (7):1761–67. doi:10.1080/03610926.2019.1565784.
  • Shanthikumar, J. G., and U. Sumita. 1983. General shock models associated with correlated renewal sequences. Journal of Applied Probability 20 (3):600–14. doi:10.2307/3213896.
  • Wang, G. J., and R. Peng. 2017. A generalised δ-shock model with two types of shocks. International Journal of Systems Science: Operations & Logistics 4 (4):372–83.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.