172
Views
4
CrossRef citations to date
0
Altmetric
Articles

Estimation of lifetime parameters of the modified extended exponential distribution with application to a mechanical model

, & ORCID Icon
Pages 7005-7018 | Received 05 May 2019, Accepted 05 Sep 2020, Published online: 15 Sep 2020

References

  • Abu Bakar, A. A., S. Nadarajah, Z. A. Absl K. Adzhar, and I. Mohamed. 2016. Gendist: An R package for generated probability distribution models. PLoS ONE 11 (6):e0156537. doi:10.1371/journal.pone.0156537.
  • Ahmed, A. E. 2015. Estimation of some lifetime parameters of generalized Gompertz distribution under (Prog -II- C) data. Applied Mathematical Modelling 39 (18):5567–78. doi:10.1016/j.apm.2015.01.023.
  • Bakar, S. A., S. Nadarajah, and N. Ngataman. 2020. A family of density-hazard distributions for insurance losses. Communications in Statistics-Simulation and Computation. Advance online publication. doi:10.1080/03610918.2020.1784430.
  • Bakar, S. A., S. Nadarajah, and Z. A. K. Adzhar. 2018. Loss modeling using Burr mixtures. Empirical Economics 54 (4):1503–16.
  • Balakrishnan, N. 2007. Progressive censoring methodology: An appraisal (with discussions). Test 16 (2):211–96. doi:10.1007/s11749-007-0061-y.
  • Balakrishnan, N., and R. Aggarwala. 2000. Progressive censoring – theory, methods, and applications. Boston, MA: Birkhauser.
  • Brazauskas, V., and A. Kleefeld. 2011. Folded and log-folded-t distributions as models for insurance loss data. Scandinavian Actuarial Journal 1:59–74.
  • El-Damcese, M. A., and D. A. Ramadan. 2015. Studies on properties and estimation problems for modified extension of exponential distribution. International Journal of Computer Applications 125 (4):21–28. doi:10.5120/ijca2015905891.
  • EL-Sagheer, R. M. 2018. Estimation of parameters of Weibull–Gamma distribution based on progressively censored data. Statistical Papers 59 (2):725–57. doi:10.1007/s00362-016-0787-2.
  • Gómez-Déniz, E., and E. Calderín-Ojeda. 2015. Modelling insurance data with the Pareto ArcTan distribution. ASTIN Bulletin: The Journal of the IAA 45 (3):639–60.
  • Greene, W. H. 2000. Econometric analysis. 4th ed. New York: Prentice Hall.
  • Grün, B., and T. Miljkovic. 2019. Extending composite loss models using a general framework of advanced computational tools. Scandinavian Actuarial Journal 8:642–60.
  • Gupta, R. D., and D. Kundu. 1999. Generalized exponential distributions. Australian and New Zealand Journal of Statistics 41 (2):173–88. doi:10.1111/1467-842X.00072.
  • Lawless, J. F. 1982. Statistical models and methods for lifetime data. New York: John Wiley and Sons.
  • Miljkovic, T., and B. Grün. 2016. Modeling loss data using mixtures of distributions. Insurance: Mathematics and Economics 70:387–96.
  • Nadarajah, S., and S. A. A. Bakar. 2015. New folded models for the log-transformed Norwegian fire claim data. Communications in Statistics - Theory and Methods 44 (20):4408–40. doi:10.1080/03610926.2013.793348.
  • Nadarajah, S., and S. A. A. Bakar. 2016. An exponentiated geometric distribution. Applied Mathematical Modelling 40 (13–14):6775–84. doi:10.1016/j.apm.2015.11.010.
  • Nadarajah, S., and S. A. Bakar. 2014. New composite models for the Danish fire insurance data. Scandinavian Actuarial Journal 2:180–87.
  • Nadarajah, S., and S. Kotz. 2007. A class of generalized models for shadowed fading channels. Wireless Personal Communications 43:1113–20.
  • Suprawhardana, M. S., and S. Prayoto. 1999. Total time on test plot analysis for mechanical components of the RSG-GAS reactor. Atom Indones 25 (2):155–61.
  • Willmot, G. E., and X. S. Lin. 2001. Lundberg approximations for compound distributions with insurance applications. New York: Springer.
  • Wu, C.-W., M.-H. Shu, and Y.-N. Chang. 2018. Variable-sampling plans based on lifetime-performance index under exponential distribution with censoring and its extensions. Applied Mathematical Modelling 55:81–93. doi:10.1016/j.apm.2017.10.027.
  • Xu, T.-Q., and Y.-P. Chen. 2014. Two-sided M-Bayesian credible limits of reliability parameters in the case of zero-failure data for exponential distribution. Applied Mathematical Modelling 38 (9–10):2586–600. doi:10.1016/j.apm.2013.10.054.

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:

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:

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.