Inference for constrained estimation of tumor size distributions

Biometrics

Volumn 64, Issue 4, 2008, Pages 1009-1017

  Ghosh, Debashis ^a   Banerjee, Moulinath ^b   Biswas, Pinaki ^c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c PFIZER INC   (United States)

Author keywords

Isotonic regression; Oncology; Pool adjacent violators algorithm; Profile likelihood; Semiparametric information bound; Smoothing splines

Indexed keywords

DIAGNOSIS; DISEASES; DISTRIBUTION FUNCTIONS; MAXIMUM LIKELIHOOD ESTIMATION; REGRESSION ANALYSIS; SAMPLING; TUMORS;

CONSTRAINED ESTIMATION; ISOTONIC REGRESSION; POOL-ADJACENT VIOLATOR ALGORITHM; PROFILE LIKELIHOOD; SCREENING PROGRAMS; SEMIPARAMETRIC; SEMIPARAMETRIC INFORMATION BOUND; SIZE-DISTRIBUTION; SMOOTHING SPLINE; TUMOR SIZE;

SIZE DISTRIBUTION;

CANCER; DISEASE TREATMENT; ESTIMATION METHOD; MAXIMUM LIKELIHOOD ANALYSIS; REGRESSION ANALYSIS; SMOOTHING; TUMOR;

ALGORITHM; ARTICLE; BREAST CANCER; CANCER SCREENING; HUMAN; LUNG ADENOCARCINOMA; LUNG SQUAMOUS CELL CARCINOMA; MATHEMATICAL COMPUTING; METASTASIS; REGRESSION ANALYSIS; SPUTUM CYTODIAGNOSIS; THORAX RADIOGRAPHY; TUMOR VOLUME;

EID: 56049086145     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2008.01001.x     Document Type: Article

References (24)

1. Amersi, F. and Hansen, N. M. (2006). The benefits and limitations of sentinel lymph node biopsy. Current Treatments and Options in Oncology 7, 141 151.
2. Ayer, M., Brunk, H. D., Ewing, G. M., Reid, W. T., and Silverman, E. (1955). An empirical distribution function for sampling with incomplete information. Annals of Mathematical Statistics 26, 641 647.
3. Banerjee, M. and Wellner, J. A. (2001). Likelihood ratio tests for monotone functions. Annals of Statistics 29, 1699 1731.
4. Delgado, M. A., Rodriguez-Poo, J. M., and Wolf, M. (2001). Subsampling inference in cube root asymptotics with an application to Manski's maximum score estimator. Economics Letters 73, 241 250.
5. Ghosh, D. (2006). Modelling tumor biology-progression relationships in screening trials. Statistics in Medicine 25, 1872 1884.
6. Ghosh, D. (2008). Proportional hazards regression for cancer studies. Biometrics 64, to appear.
7. Groeneboom, P. and Wellner, J. A. (1992). Information Bounds and Nonparametric Maximum Likelihood Estimation. Boston : Birkhäuser.
8. Groeneboom, P. and Wellner, J. A. (2001). Computing Chernoff's distribution. Journal of Computational and Graphical Statistics 10, 388 400.
9. Heckman, N. E. and Ramsay, J. O. (2000). Penalized regression with model-based penalties. Canadian Journal of Statistics 28, 241 258.
10. Jewell, N. P. and van der Laan, M. J. (2004). Case-control current status data. Biometrika 91, 529 541.
11. Keiding, N., Begtrup, K., Scheike, T. H., and Hasibeder, G. (1996). Estimation from current-status data in continuous time. Lifetime Data Analysis 2, 119 129.
12. Kimmel, M. and Flehinger, B. J. (1991). Nonparametric estimation of the size-metastasis relationship in solid cancers. Biometrics 47, 987 1004.
13. Lehmann, E. L. (1999). Elements of Large-Sample Theory. New York : Springer.
14. Murphy, S. A. and van der Vaart, A. W. (1997). Semiparametric likelihood ratio inference. Annals of Statistics 25, 1471 1509.
15. Murphy, S. A. and van der Vaart, A. W. (2000). On profile likelihood (with discussion). Journal of the American Statistical Association 95, 449 485.
16. Politis, D. N., Romano, J. P., and Wolf, M. (1999). Subsampling. New York : Springer-Verlag.
17. Ramsay, J. O. (1998). Estimating smooth monotone functions. Journal of the Royal Statistical Society, Series B 68, 365 375.
18. Robertson T., Wright F., and Dykstra R. (1988). Order Restricted Statistical Inference. New York : Wiley.
19. Scott, A. J. and Wild, C. J. 1997). Fitting regression models to case-control data by maximum likelihood. Biometrika 84, 57 71.
20. Staniswalis, J. G. and Thall, P. F. (2001). An explanation of generalized profile likelihoods. Statistics and Computing 11, 293 298.
21. Verschraegen, C., Vinh-Hung, V., Cserni, G., Gordon, R., Royce, M. E., Vlastos, G., Tai, P., and Storme, G. (2005). Modeling the effect of tumor size in early breast cancer. Annals of Surgery 241, 309 318.
22. Wahba, G. (1983). Bayesian confidence intervals for the cross validated smoothing spline. Journal of the Royal Statistical Society, Series B 45, 133 150.
23. Xu, J. L. and Prorok, P. C. (1997). Nonparametric estimation of solid cancer size at metastasis and probability of presenting with metastasis at detection. Biometrics 53, 579 591.
24. Xu, J. L. and Prorok, P. C. (1998). Estimating a distribution function of the tumor size at metastasis. Biometrics 54, 859 864.