A general class of change point and change curve modeling for life time data

Annals of the Institute of Statistical Mathematics

Volumn 54, Issue 3, 2002, Pages 517-530

  Patra, Kaushik ^a   Dey, Dipak K ^b  

^a CENTER FOR BIOSTATISTICS IN AIDS RESEARCH   (United States)

^b UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Change point; Gibbs sampling; Hazard function; Posterior inference; Survival function

Indexed keywords

ASYMPTOTIC STABILITY; DATA REDUCTION; INTEGRAL EQUATIONS; MARKOV PROCESSES; MEDICAL APPLICATIONS; MONTE CARLO METHODS; PARAMETER ESTIMATION; POISSON DISTRIBUTION; PRINTED CIRCUIT BOARDS; PROBABILITY DENSITY FUNCTION; SAMPLING; WEIBULL DISTRIBUTION;

CHANGE CURVE MODELING; CHANGE POINT HAZARD RATE MODELS; GIBBS SAMPLING; HAZARD FUNCTION; POSTERIOR INFERENCE; SURVIVAL FUNCTION;

MATHEMATICAL MODELS;

EID: 12244295759     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022454909407     Document Type: Article

References (21)

1. Achcar, J. A. and Bolfarine, H. (1989). Constant hazard against a change point alternative: A Bayesian approach with censored data, Comm. Statist. Theory Methods, 18, 3801-3819.
2. Basu, A. P., Ghosh, J. K. and Joshi, S. N. (1988). On estimating change point in a failure rate, Statist. Decisions, 4, 239-252.
3. Carlin, B. P., Gelfand, A. E. and Smith, A. F. M. (1992). Hierarchical Bayesian analysis of change point problems, Applied Statistics, 41, 389-405.
4. Chen, M. H., Ibrahim, J. G. and Sinha, D. (1999). A Bayesian approach to survival data with a cure fraction, J. Amer. Statist. Assoc., 94, 909-919.
5. Chib, S. and Greenberg, E. (1995). Understanding the Metropolis-Hastings algorithm, Amer. Statist., 49, 327-335.
6. Diebolt, J. and P. Robert, (1994). Estimation of finite mixture distributions through Bayesian sampling, J. Roy. Statist. Soc. Ser. B, 56, 363-375.
7. Ebrahimi, N. (1991). On estimating change point in a mean residual life function, Sankhya Ser. A, 53, 209-219.
8. Ebrahimi, N., Gelfand, A. E., Ghosh, M. and Ghosh, S. K. (1998). Bayesian analysis of change point hazard rate problem (unpublished manuscript).
9. Gelfand, A. E. and Smith, A. F. M. (1990). Sampling based approaches to calculating marginal densities, J. Amer. Statist. Assoc., 85, 398-409.
10. Gelfand, A. E., Dey, D. K. and Chang, H. (1992). Model determination using predictive distributions with implementation via sampling-based methods, Bayesian Statistics 4 (eds. J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), 147-167, Oxford University Press, New York.
11. Ghosh, J. K., Joshi, S. N. and Mukhopadhyay, C. (1993). A Bayesian approach to the estimation of change-point in a hazard rate, Advances in Reliability (ed. A. P. Basu), 141-170, North-Holland, Amsterdam
12. Gray, R. (1994). A Bayesian analysis of institutional effects in a multicenter cancer clinical trial, Biometrics, 50, 244-253.
13. Loader, C. R. (1991) Inference for a hazard rate change point, Biometrika, 78, 749-757.
14. Marshall, A. W. and Olkin, I, (1997). A new method for adding a parameter to a family of distributions with application to the exponential and weibull families, Biometrika, 84, 641-652.
15. Meeker, W. Q. and LuValle, M. J. (1995). An accelerated life test model based on reliability kinetics, Technometrics, 37, 133-146.
16. Nguyen, H. T., Rogers, G. S. and Walker, E. A. (1984). Estimation in the change point hazard rate models, Biometrika, 71, 229-304.
17. Raftery, A. E. and Akman, V. E. 1986 Bayesian analysis of a Poisson process with a change point, Biometrika, 73, 85-89.
18. Sinha, D., Patra, K. and Dey, D. K. (1999). New Bayesian approaches for accelerated life test data, Tech. Report 99-21, Department of Statistics, University of Connecticut.
19. Sinha, D., Capozzoli, M. H. and Owen, J. (2000). New Bayesian approach to modeling accelerated life test data, Perspectives in Statistical Sciences (eds. Basu et al.) 276-289, Oxford University Press.
20. Stangl, D. (1995). Prediction and decision making using Bayesian hierarchical models, Statistics in Medicine, 14, 2173-2190.
21. Zucker, D. M. and Lakatos, E. (1997). Weighted log rank type statistics for comparing survival curves when there is a time lag in the effectiveness of a treatment, Biometrika, 77, 853-864.