1,848
Views
2
CrossRef citations to date
0
Altmetric
Articles

Competing risks analysis for dependent causes using Marshall-Olkin bivariate generalized lifetime family

& ORCID Icon
Pages 1212-1240 | Received 17 Sep 2021, Accepted 14 Jun 2022, Published online: 04 Jul 2022

References

  • Aarset, M. V. 1987. How to identify a bathtub hazard rate. IEEE Transactions on Reliability R-36 (1):106–8. doi:10.1109/TR.1987.5222310.
  • Chaturvedi, A., and G. S. Khumukcham. 2006. Bayesian estimation procedures for a family of lifetime distributions under squared-error and entropy losses. Metron 64 (2):179–98.
  • Barlow, R. E, and F. Proschan. 1975. Statistical theory of reliability and life testing: Probability models. Technical report, Florida State Univ., Tallahassee.
  • Basu, A., and J. Ghosh. 1978. Identifiability of the multinormal and other distributions under competing risks model. Journal of Multivariate Analysis 8 (3):413–29. doi:10.1016/0047-259X(78)90064-7.
  • Berger, J. O., and J. M. Bernardo. 1992. On the development of the reference prior method. Bayesian Statistics 4 (4):35–60.
  • Byar, D. P., and S. B. Green. 1980. The choice of treatment for cancer patients based on covariate information. Bulletin du Cancer 67 (4):477–90.
  • Cai, J., Y. Shi, and B. Liu. 2017. Analysis of incomplete data in the presence of dependent competing risks from marshall–olkin bivariate weibull distribution under progressive hybrid censoring. Communications in Statistics - Theory and Methods 46 (13):6497–511. doi:10.1080/03610926.2015.1129420.
  • Chen, M. H. Q. M. Shao, and J. G. Ibrahim. 2000. Monte Carlo methods in Bayesian computation. New York: Springer-Verlag.
  • Crowder, M. 1991. On the identifiability crisis in competing risks analysis. Scandinavian Journal of Statistics 18 (3):223–33.
  • Feizjavadian, S., and R. Hashemi. 2015. Analysis of dependent competing risks in the presence of progressive hybrid censoring using Marshall–Olkin bivariate Weibull distribution. Computational Statistics & Data Analysis 82:19–34. doi:10.1016/j.csda.2014.08.002.
  • Ghosh, J, and R. Mukerjee. 1992. Noninformative priors (with discussion). In Bayesian statistics, Vol. 4, ed. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford: Oxford University Press, 195–210.
  • Guan, Q., Y. Tang, and A. Xu. 2013. Objective bayesian analysis for bivariate Marshall–Olkin exponential distribution. Computational Statistics & Data Analysis 64:299–313. doi:10.1016/j.csda.2013.03.021.
  • Hanagal, D. D., and B. Kale. 1992. Large sample tests for testing symmetry and independence in some bivariate exponential models. Communications in Statistics - Theory and Methods 21 (9):2625–43. doi:10.1080/03610929208830934.
  • Kundu, D., and A. K. Gupta. 2013. Bayes estimation for the Marshall–Olkin bivariate Weibull distribution. Computational Statistics & Data Analysis 57 (1):271–81. doi:10.1016/j.csda.2012.06.002.
  • Kundu, D., N. Kannan, and N. Balakrishnan. 2003. Analysis of progressively censored competing risks data. Handbook of Statistics 23:331–48. doi:10.1016/S0169-7161(03)23018-2.
  • Kuo, L., and T. Y. Yang. 2000. Bayesian reliability modeling for masked system lifetime data. Statistics & Probability Letters 47 (3):229–41. doi:10.1016/S0167-7152(99)00160-1.
  • Lawless, J. F. 2003. Statistical models and methods for lifetime data. 2nd ed. New York: John Wiley and Sons Inc.
  • Lindqvist, B. H., and G. Skogsrud. 2008. Modeling of dependent competing risks by first passage times of wiener processes. IIE Transactions 41 (1):72–80. doi:10.1080/07408170802322697.
  • Marshall, A. W., and I. Olkin. 1967. A multivariate exponential distribution. Journal of the American Statistical Association 62 (317):30–44. doi:10.1080/01621459.1967.10482885.
  • Miyakawa, M. 1984. Analysis of incomplete data in competing risks model. IEEE Transactions on Reliability R-33 (4):293–6. doi:10.1109/TR.1984.5221828.
  • Moeschberger, M. 1974. Life tests under dependent competing causes of failure. Technometrics 16 (1):39–47. doi:10.1080/00401706.1974.10489147.
  • Moore, A. H., and J. E. Bilikam. 1978. Bayesian estimation of parameters of life distributions and reliability from type ii censored samples. IEEE Transactions on Reliability R-27 (1):64–7. doi:10.1109/TR.1978.5220246.
  • Proschan, F, and P. Sullo. 1973. Estimating the parameters of a certain multivariate exponential distribution. Technical report, Dept of Statistics, Florida State University, Tallahassee.
  • Shen, Y., and A. Xu. 2018. On the dependent competing risks using Marshall–Olkin bivariate Weibull model: Parameter estimation with different methods. Communications in Statistics - Theory and Methods 47 (22):5558–72. doi:10.1080/03610926.2017.1397170.
  • Sinha, S. K. 1986. Reliability and life testing. New Delhi: Wiley Eastern Ltd.
  • Tomer, S. K., A. K. Singh, and M. Panwar. 2014. Bayesian analysis of masked series system lifetime data from a family of lifetime distributions. International Journal of System Assurance Engineering and Management 5 (4):495–502. doi:10.1007/s13198-013-0191-4.
  • Tsiatis, A. 1975. A nonidentifiability aspect of the problem of competing risks. Proceedings of the National Academy of Sciences of the United States of America 72 (1):20–2. doi:10.1073/pnas.72.1.20.
  • Wada, C. Y., P. K. Sen, and S. E. Shimakura. 1996. A bivariate exponential model with covariates in competing risk data. Calcutta Statistical Association Bulletin 46 (3-4):197–210. doi:10.1177/0008068319960305.
  • Wang, C.-P., and M. Ghosh. 2003. Bayesian analysis of bivariate competing risks models with covariates. Journal of Statistical Planning and Inference 115 (2):441–59. doi:10.1016/S0378-3758(02)00177-5.
  • Xu, A., and S. Zhou. 2017. Bayesian analysis of series system with dependent causes of failure. Statistical Theory and Related Fields 1 (1):128–40. doi:10.1080/24754269.2017.1348708.

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.