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

References

• Ahmadi, K., F. Yousefzadeh, and M. Rezaei. 2016. Analysis of progressively type-I interval censored competing risks data for a class of an exponential distribution. Journal of Statistical Computation and Simulation 86 (18):3629–52.
   Web of Science ®Google Scholar
• Alawadhi, F. A., A. M. Sarhan, and D. C. Hamilton. 2016. Marshall-Olkin extended two-parameter bathtub-shaped lifetime distribution. Journal of Statistical Computation and Simulation 86 (18):3653–66.
   Web of Science ®Google Scholar
• Ashour, S. K., and M. M. A. Nassar. 2017. Inference for Weibull distribution under adaptive type-I progressive hybrid censored competing risks data. Communication in Statistics-Theory and Methods 46 (10):4756–73.
   Web of Science ®Google Scholar
• Balakrishnan, N., L. Bordes, and X. Zhao. 2010. Minimum-distance parametric estimation under progressive type-I censoring. IEEE Transactions on Reliability 59 (2):413–25.
   Web of Science ®Google Scholar
• Barmi, H. E., S. Kochar, and J. Tsimikas. 2006. Likelihood ratio tests for and against ordering of the cumulative incidence functions in multiple competing risks and discrete mark variable models. Journal of Statistical Planning and Inference 136 (5):1588–607.
   Web of Science ®Google Scholar
• Cheng, C., J. Chen, and Z. Li. 2010. A new algorithm for maximum likelihood estimation with progressive type-I interval censored data. Communications in Statistics-Simulation and Computation 39 (4):750–66.
   Web of Science ®Google Scholar
• Chen, Z. 2000. A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function. Statistics and Probability Letters 49:155–61.
   Web of Science ®Google Scholar
• Chen, D. G., and Y. L. Lio. 2010. Parameter estimations for generalized exponential distribution under progressive type-I interval censoring. Computational Statistics and Data Analysis 54 (6):1581–91.
   Web of Science ®Google Scholar
• Chen, T., S. Zheng, H. Luo, X. Liu, and J. Feng. 2016. Reliability analysis of multiple causes of failure in presence of independent competing risks. Quality and Reliability Engineering International 32 (2):363–72.
   Web of Science ®Google Scholar
• Cohen, A., and J. Clifford. 1963. Progressively censored samples in life testing. Technometrics 5 (3):327–39.
   Web of Science ®Google Scholar
• Dempster, A.P., N. M. Laird, and D. B. Rubin. 1977. Maximum likelihood estimation from incomplete data via the EM algorithm. Journal of the Royal Statistical Society, Series B 39:1–38.
   Google Scholar
• Efron, B. 1982. The jackknife, the bootstrap and other re-sampling plans. CBMS-NSF Regional Conference Series in Applied Mathematics, 38, SIAM, Philadelphia, PA.
   Google Scholar
• Gupta, R. C., M. E. Ghitany, and D. K. Al-Mutairi. 2010. Estimation of reliability from Marshall-Olkin extended Lomax distributions. Journal of Statistical Computation and Simulation 80 (8):937–47.
   Web of Science ®Google Scholar
• Haile, S. R., J.-H. Jeong, X. Chen, and Y. Cheng. 2016. A 3-parameter Gompertz distribution for survival data with competing risks, with an application to breast cancer data. Journal of Applied Statistics 43 (12):2239–53.
   Web of Science ®Google Scholar
• Hall, P. 1988. Theoretical comparison of bootstrap confidence intervals. Annals of Statistics 16 (3):927–53.
   Web of Science ®Google Scholar
• Luo, S., X. Su, M. Yi, and K. K. Hunt. 2015. Simultaneous inference of a misclassified outcome and competing risks failure time data. Journal of Applied Statistics 42 (5):1080–90.
   PubMed Web of Science ®Google Scholar
• Marshall, A. N., and I. Olkin. 1997. A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families. Biometrika 84 (3):641–52.
   Web of Science ®Google Scholar
• Nassar, M., and O. E. Abo-Kasem. 2017. Estimation of the inverse Weibull parameters under adaptive type-II progressive hybrid censoring scheme. Journal of Computational and Applied Mathematics 315:228–39.
   Web of Science ®Google Scholar
• Rao, G. S., M. E. Ghitany, and R. R. L. Kantam. 2009. Reliability test plans for Marshall-Olkin extended exponential distribution. Applied Mathematical Sciences 55 (3):2745–55.
   Google Scholar
• Singh, S., and Y. M. Tripathi. 2016. Estimating the parameters of an inverse Weibull distribution under progressive type-I interval censoring. Statistical Papers 1–36. doi:10.1007/s00362-016-0750-2.
   Web of Science ®Google Scholar
• Singh, S., U. Singh, and M. Kumar. 2013. Estimation of parameters of generalized inverted exponential distribution for progressive type-II censored sample with binomial removals. Journal of Probability and Statistics 4:1–12.
   Google Scholar
• Shi, Y., L. Jin, C. Wei, and H. Yue. 2013. Constant-stress accelerated life test with competing risks under progressive type-II hybrid censoring. Advanced Materials Research 712-715 :2080–83.
   Google Scholar
• Tomer, S. K., and M. S. Panwar. 2015. Estimation procedures for Maxwell distribution under type-I progressive hybrid censoring scheme. Journal of Statistical Computation and Simulation 85 (2):339–56.
   Web of Science ®Google Scholar
• Wu, M., and Y. Shi. 2016. Bayes estimation and expected termination time for the competing risks model from Gompertz distribution under progressively hybrid censoring with binomial removals. Journal of Computational and Applied Mathematics 300:420–31.
   Web of Science ®Google Scholar
• Wu, S., and S. Huang. 2014. Planning progressive type-I interval censoring life tests with competing risks. IEEE Transactions on Reliability 63 (2):511–22.
   Web of Science ®Google Scholar