Further properties and new applications of the nested Dirichlet distribution

Computational Statistics and Data Analysis

Volumn 54, Issue 2, 2010, Pages 394-405

  Tian, Guo Liang ^a   Tang, Man Lai ^b   Yuen, Kam Chuen ^a   Ng, Kai Wang ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BREAST CANCER; CANCER DIAGNOSIS; CATEGORICAL DATA; CONDITIONAL DISTRIBUTION; DIRICHLET DISTRIBUTIONS; DIVERSE APPLICATIONS; NEW APPLICATIONS;

RADIO RECEIVERS;

RADIO BROADCASTING;

EID: 70350571187     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2009.08.022     Document Type: Article

References (30)

1. Balakrishnan N., and Nevzorov V.B. A Primer on Statistical Distributions (2003), John Wiley and Sons, New York
2. Broemeling L.D. Bayesian Biostatistics and Diagnostic Medicine (2007), Chapman & Hall/CRC, Boca Raton
3. Cox D.R. The analysis of exponentially distributed lifetimes with two types of failures. Journal of the Royal Statistical Society, B 21 (1959) 411-421
4. Davis T.P., and Lawrence A.J. The likelihood for competing risks survival analysis. Scandinavian Journal of Statistics 16 (1989) 23-30
5. Dickey J.M., Jiang J.M., and Kadane J.B. Bayesian methods for censored categorical data. Journal of the American Statistical Association 82 (1987) 773-781
6. Dykstra R., Kochar S., and Robertson T. Statistical inference for uniform stochastic ordering in several populations. The Annales of Statistics 19 (1991) 870-888
7. Dykstra R., Kochar S., and Robertson T. Restricted tests for testing independence of time to failure and cause of failure in a competing-risks model. The Canadian Journal of Statistics 26 1 (1998) 57-68
8. Edwards J. A Treatise on the Integral Calculus vol. II (1922), Macmillan, New York
9. Fang K.T., Kotz S., and Ng K.W. Symmetric Multivariate and Related Distributions (1990), Chapman and Hall, London
10. Gupta R.D., and Richards D.St.P. Multivariate Liouville distributions. Journal of Multivariate Analysis 23 (1987) 233-256
11. Gupta R.D., and Richards D.St.P. The Dirichlet distributions and polynomial regression. Journal of Multivariate Analysis 32 (1990) 95-102
12. Gupta R.D., and Richards D.St.P. Multivariate Liouville distributions, II. Probability and Mathematical Statistics 12 (1991) 291-309
13. Gupta R.D., and Richards D.St.P. Multivariate Liouville distributions, III. Journal of Multivariate Analysis 43 (1992) 29-57
14. Gupta R.D., and Richards D.St.P. The history of the Dirichlet and Liouville distributions. International Statistical Review 69 3 (2001) 433-446
15. Hellmich M., Abrams K.R., Jones D.R., and Lambert P.C. A Bayesian approach to a general regression model for ROC curves. Medical Decision Making 18 (1998) 436-443
16. Kadane J.B. Juries hearing death penalty cases: Statistical analysis of a legal procedure. Journal of the American Statistical Association 78 (1983) 544-552
17. Marshall A.W., and Olkin I. Inequalities: Theory of Majorization and Its Applications (1979), Academic Press, New York
18. Medenhall W., and Hader R.J. Estimation of parameters of mixed exponentially distributed failure time distributions from censored life test data. Biometrika 45 (1958) 504-520
19. Ng K.W., Tang M.L., Tan M., and Tian G.L. Grouped Dirichlet distribution: A new tool for incomplete categorical data analysis. Journal of Multivariate Analysis 99 3 (2008) 490-509
20. Ng K.W., Tang M.L., Tian G.L., and Tan M. The nested Dirichlet distribution and incomplete categorical data analysis. Statistica Sinica 19 1 (2009) 251-271
21. Peng F., and Hall W.J. Bayesian analysis of ROC curves using Markov Chain Monte Carlo methods. Medical Decision Making 16 (1996) 404-411
22. Pepe M.S. The Statistical Evaluation of Medical Tests for Classification and Prediction (2003), Oxford University Press, New York
23. Prentice R.L., Kalbfleisch J.D., Peterson A.V., Flournoy N., Farewell V.T., and Breslow N.E. The analysis of failure times in the presence of competing risks. Biometrics 34 (1978) 541-554
24. Rubin D.B. Inference and missing data. Biometrika 63 (1976) 581-592
25. Sivazlian B.D. On a multivariate extension of gamma and beta distributions. SIAM Journal of Applied Mathematics 41 (1981) 205-209
26. Sivazlian B.D. A class of multivariate distributions. Australian Journal of Statistics 23 (1981) 251-255
27. Tang M.L., Ng K.W., Tian G.L., and Tan M. On improved EM algorithm and confidence interval construction for incomplete r × c tables. Computational Statistics and Data Analysis 51 6 (2007) 2919-2933
28. Thomas S., and George S. A review of Dirichlet distribution and its generalizations. Journal of the Indian Society for Probability & Statistics 8 (2004) 72-91
29. Tian G.L., Ng K.W., and Geng Z. Bayesian computation for contingency tables with incomplete cell-counts. Statistica Sinica 13 (2003) 189-206
30. Zhou X.H., Obuchowski N.A., and McClish D.K. Statistical Methods in Diagnostic Medicine (2002), John Wiley and Sons, New York