Clustering curves based on change point analysis : a nonparametric Bayesian approach

Statistica Sinica

Volumn 25, Issue 2, 2015, Pages 677-708

  Dass, Sarat C ^a   Lim, Chae Young ^b   Maiti, Tapabrata ^b   Zhang, Zhen ^c  

^a DEPARTMENT OF CHEMICAL ENGINEERING   (Malaysia)

^b MICHIGAN STATE UNIVERSITY   (United States)

^c UNIVERSITY OF CHICAGO   (United States)

Author keywords

Age adjusted mortality rates; Bayesian non parametrics; Change point analysis; Clustering; Conditional autoregressive Model (CAR); Dirichlet process priors; Markov Chain Monte Carlo methods

Indexed keywords

EID: 84971636990     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: 10.5705/ss.2012.308     Document Type: Article

References (14)

1. American Cancer Society (2010). Cancer Facts & Figures 2010. American Cancer Society, Atlanta, GA.
2. Carlin, B. P., Gelfand, A. E., and Smith, A. F. M. (1992). Hierarchical Bayesian analysis of changepoint problems. Appl. Statist. 41, 389-405.
3. Dass, S. C., Lim, C. and Maiti, T. (2011). Change point analysis of cancer mortality rates for US states using functional Dirichlet processes. Technical Report RM 690, Department of Statistics and Probability, Michigan State University.
4. Escobar, M. D. and West, M. (1998). Computing Nonparametric Hierarchical Models. In Prac- tical Nonparametric and Semiparametric Bayesian Statistics (Edited by D. Dey, P. Muller and D. Sinha).
5. Ferguson, T. (1973). A Bayesian analysis of some nonparametric problems. Ann. Statist. 1, 209-230.
6. Ferguson, T. (1974). Prior distributions on spaces of probability measures. Ann. Statist. 2, 615-629.
7. Ghosh, P., Basu, S. and Tiwari, R. C. (2009). Bayesian analsysis of cancer rates from SEER Program using parametric and semiparametric jointpoint regression models. J. Amer. Statist. Assoc. 104, 439-452.
8. Ghosh, P., Ghosh, K. and Tiwari, R. (2011). Bayesian approach to cancer-trend analysis using age-stratified Poisson regression models. Statist. Med. 30, 127-139.
9. Kim, H. J., Fay, M. P., Feuer, E. J., and Midthune, D. N. (2000). Permutation tests for joinpoint regression with applications to cancer rates. Statist. Med. 19, 335-351.
10. Kim, H. J., Fay, M. P., Yu, B., Barrett, M. J., and Feuer, E. J. (2004). Comparability of segmented line regression models. Biometrics 60, 1005-1014.
11. Ries, L. A. G., Eisner, M. P., Kosary, C. L., Hanley, B. F., Miller, B. A., Clegg, L. and Edwards, B. K. (2002). SEER Cancer Statistics Review. National Cancer Institute, Bethesda, MD. Available at http://seer.cancer.gov/csr/1973-19995.
12. Sethuraman, J. (1994). A constructive definition of Dirichlet priors. Statist. Sinica 4, 639-650.
13. Surveillance, Epidemiology, and End Results (SEER) Program (www.seer.cancer.gov) SEERStat Database, "Mortality - All COD, Aggregated With State, Total U.S. (1969- 2007) ", National Cancer Institute, DCCPS, Surveillance Research Program, Cancer Statistics Branch, released June 2010. Underlying mortality data provided by NCHS (www.cdc.gov/nchs).
14. Tiwari, R. C., Cronin, K. A., Davis, W., Feuer, E. J., Yu, B. and Chib, S. (2005). Bayesian model selection for joinpoint regression with application to age-adjusted cancer rates. J. Roy. Statist. Soc. Ser. C 54, 919-939.