A new Bayes estimate of the change point in the hazard function. (English) Zbl 1161.62341
Summary: An efficient estimate for the change point in the hazard function is obtained. This is based on a Bayesian estimator which uses equations concerning the parameters of a recently proposed hazard function. It is found through a simulation study that the proposed estimator is more efficient than the traditional estimators in many cases. Furthermore, experimental results that use data of breast cancer patients and some lymphoma data show that the proposed estimator is also practical in applications.
MSC:
| 62F15 | Bayesian inference |
| 62N02 | Estimation in survival analysis and censored data |
| 62F10 | Point estimation |
| 65C60 | Computational problems in statistics (MSC2010) |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
References:
| [1] | Achcar, J. A.; Loibel, S., Constant hazard function models with a change point: a Bayesian analysis using Markov Chain Monte Carlo methods, Biometrical J., 40, 543-555 (1998) · Zbl 0911.62022 |
| [2] | Basu, A.P., Ghosh, J.K., Joshi, S.N., 1988. On estimating change point in a failure rate. Statistical Decision Theory and Related Topics IV, vol. 2. Springer, Berlin, pp. 239-252.; Basu, A.P., Ghosh, J.K., Joshi, S.N., 1988. On estimating change point in a failure rate. Statistical Decision Theory and Related Topics IV, vol. 2. Springer, Berlin, pp. 239-252. · Zbl 0713.62097 |
| [3] | Ghosh, J. K.; Joshi, S. N., On the asymptotic distribution of an estimate of the change point in a failure rate, Comm. Statist. Theory Methods, 21, 3571-3588 (1992) · Zbl 0776.62017 |
| [4] | Ghosh, J. K.; Joshi, S. N.; Mukhopadhyay, C., A Bayesian approach to the estimation of change point in a hazard rate. Advances in Reliability (1993), Elsevier Science Publications: Elsevier Science Publications Amsterdam, pp. 141-170 |
| [5] | Ghosh, J. K.; Joshi, S. N.; Mukhopadhyay, C., Asymptotics of Bayesian approach to estimating change-point in a hazard rate, Comm. Statist. Theory Methods, 25, 3147-3166 (1996) · Zbl 0870.62023 |
| [6] | Ghosal, S.; Ghosh, J. K.; Samanta, T., Approximation of the posterior distribution in a change-point problem, Ann. Inst. Statist. Math., 51, 479-497 (1999) · Zbl 0938.62023 |
| [7] | Gijbels, I.; Gurler, U., Estimation of a change point in a hazard function based on censored data, Lifetime Data Anal., 9, 395-411 (2003) · Zbl 1038.62091 |
| [8] | Matthews, D. E.; Farewell, V. T.; Pyke, R., Asymptotic score-statistic processes and tests for constant hazard rate against a change point alternative, Ann. Statist., 13, 583-591 (1985) · Zbl 0576.62032 |
| [9] | Nguyen, H. T.; Rogers, G. S.; Walker, E. A., Estimation in change point hazard rate models, Biometrika, 71, 299-304 (1984) · Zbl 0561.62092 |
| [10] | Sertkaya, D.; Sozer, M. T., A Bayesian approach to the constant hazard model with a change point and an application to breast cancer data, Hacettepe J. Math. Statist., 32, 33-41 (2003) · Zbl 1136.62400 |
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