Minimum Hellinger distance estimation for randomized play the winner design

Journal of Statistical Planning and Inference

Volumn 136, Issue 6, 2006, Pages 1875-1910

  Cheng, An Lin ^a   Vidyashankar, Anand N ^b  

^a YALE UNIVERSITY   (United States)

^b Department of Molecular Biology and Genetics   (United States)

Author keywords

Break down point; Clinical trial; Hellinger distance; Influence function; Large deviations; Monte Carlo approximation; Multi type branching processes; Response adaptive randomization

Indexed keywords

EID: 32044450610     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2005.08.010     Document Type: Article

References (28)

1. K.B. Athreya S. Karlin Embedding of urn schemes into continuous time Markov Branching processes and related limit theorems Ann. Math. Statist. 39 1968 1801-1817
2. Athreya, K.B., Vidyashankar, A.N., 1995. Large deviation rates for supercritical and critical branching processes. Classical and Modern Branching Processes, The IMA Volumes in Mathematics and its Applications, vol. 84, pp. 1-18.
3. Z.D. Bai F. Hu W.F. Rosenberger Asymptotic properties of adaptive designs for clinical trials with delayed response Ann. Statist. 30 2002 122-139
4. A. Basu B.G. Lindsay Minimum disparity estimation for continuous models: efficiency, distribution and robustness Ann. Inst. Statist. Math. 46 1994 683-705
5. A. Basu S. Sarkar The trade-off between robustness and efficiency and the effect of model smoothing in minimum disparity inference J. Statist. Comput. Simulations 50 1994 173-185
6. A. Basu S. Sarkar A.N. Vidyashankar Minimum negative exponential disparity estimation on parametric models J. Statist. Plann. Inference 58 1997 349-370
7. R.J. Beran Minimum Hellinger distance estimates for parametric models Ann. Statist. 5 1977 445-463
8. K.L. Chung A Course in Probability Theory 1974 Academic Press New York
9. A. Cutler O.I. Cordero-Braña Minimum Hellinger distance estimation for finite mixture models J. Amer. Statist. Assoc. 91 1996 1716-1723
10. L. Devroye Non-Uniform Random Variate Generation 1986 Springer New York
11. L. Devroye A Course in Density Estimation 1987 Birkhauser Boston
12. A. Ivanova A play-the-winner-type urn design with reduced variability Metrika 58 2003 1-13
13. A. Ivanova W.F. Rosenberger S. Durham N. Flournoy A Birth and Death Urn for randomized clinical trials: Asymptotic methods Biostatistics 62 2000 104-118
14. D.J. Kupfer REM latency: A psychobiological marker for primary depressive disease Biol. Psych. 11 1976 159-174
15. B.G. Lindsay Efficiency verses robustness: The case for minimum Hellinger distance and related methods Ann. Statist. 22 1994 1081-1114
16. M. Markatou A. Basu B.G. Lindsay Weighted likelihood estimating equations: The discrete case with applications to logistic regression. Robust statistics and data analysis, II J. Statist. Plann. Inference 57 1997 215-232
17. V.F. Melfi C. Page Estimation after adaptive allocation J. Statist. Plann. Inference 87 2000 353-363
18. W.F. Rosenberger N. Flournoy S.D. Durham Asymptotic normality of maximum likelihood estimators from multiparameter response-driven designs J. Statist. Plann. Inference 60 1997 69-76
19. D.G. Simpson Minimum Hellinger distance estimation for the analysis of count data J. Amer. Statist. Assoc. 82 1987 802-807
20. D.G. Simpson Hellinger deviance tests: Efficiency, breakdown points, and examples J. Amer. Statist. Assoc. 84 1989 107-113
21. T.N. Sriram A.N. Vidyashankar Minimum Hellinger distance estimation for supercritical Galton-Watson processes Statist. Probab. Lett. 50 2000 331-342
22. R.N. Tamura D.D. Boos Minimum Hellinger distance estimation for multivariate location and covariance J. Amer. Statist. Assoc. 81 1986 223-229
23. R.N. Tamura D.E. Faries J.S. Anderson J.H. Heiligenstein A case study of an adaptive clinical trialin the treatment of out-patients with depressive disorder J. Amer. Statist. Assoc. 89 1994 768-776
24. Vidyashankar, A.N., 1994. Large deviation rates for branching processes in fixed and random environments, unpublished Ph.D. Thesis, Department of Mathematics and Statistics, Iowa State University, Ames, IA.
25. L.J. Wei The generalized Pólya's urn design for sequential medical trials Ann. Statist. 7 1979 291-296
26. L.J. Wei Exact two-sample permutation tests based on the randomized play-the-winner rule Biometrika 75 1988 603-606
27. L.J. Wei S.D. Durham The randomized play-the-winner rule in medical trials J. Amer. Statist. Assoc. 73 1978 840-843
28. M. Zelen Play the winner rule and the controlled clinical trial J. Amer. Statist. Assoc. 64 1969 131-146