Semiparametric efficient estimation of survival distributions in two-stage randomisation designs in clinical trials with censored data

Biometrika

Volumn 93, Issue 1, 2006, Pages 163-177

  Wahed, Abdus S ^a   Tsiatis, Anastasios A ^b  

^a UNIVERSITY OF PITTSBURGH GRADUATE SCHOOL OF PUBLIC HEALTH   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Censoring; Influence function; Inverse probability weighted estimator; Potential outcome; Regular asymptotically linear estimator; Two stage design

Indexed keywords

EID: 33644973742     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/93.1.163     Document Type: Article

References (11)

1. JOSS, R. A., ALBERTO, P., BLEHER, E. A., LUDWIG, C., SIEGENTHALER, P., MARTINELLI, G., SAUTER, C., SCHATZMANN, E. & SENN, H. J. (1994). Combined-modality treatment of small-cell lung cancer: randomized comparison of three induction chemotherapies followed by maintenance chemotherapy with or without radiotherapy to the chest. Swiss group for clinical cancer research (sakk), Ann. Oncol. 5, 921-8.
2. LUENBERGER, D. G. (1969). Optimization by Vector Space Methods. New York: John Wiley & Sons, Inc.
3. LUNCEFORD, J. K., DAVIDIAN, M. & TSIATIS, A. A. (2002). Estimation of survival distributions of treatment policies in two-stage randomization designs in clinical trials. Biometrics 58, 48-57.
4. NEWEY, W. K. (1990). Semiparametric efficiency bounds. J. Appl. Economet. 5, 99-135.
5. ROBINS, J. M. & ROTNITZKY, A. (1992). Recovery of information and adjustment for dependent censoring using surrogate markers. In Aids Epidemiology: Methodological Issues, Ed. N. P. Jewell, K. Dietz and V. T. Farewell, pp. 297-331. Boston: Birkhauser.
6. ROBINS, J. M., ROTNITZKY, A. & ZHAO, L. P. (1994). Estimation of regression coefficients when some regressors are not always observed. J. Am. Statist. Assoc. 89, 846-66.
7. STONE, R. M., BERG, D. T., GEORGE, S. L., DODGE, R. K., PACIUCCI, P. A., SCHULMAN, P., LEE, E. J., MOORE, J. O., POWELL, B. L. & SCHIFFER, C. A. (1995). Granulocyte-macrophage colony-stimulating factor after initial chemotherapy for elderly patients with primary acute myelogenous leukemia. New Engl. J. Med. 332, 1671-7.
8. THALL, P. F., SUNG, H.-G. & ESTEY, E. H. (2002). Selecting therapeutic strategies based on efficacy and death in multi-course clinical trials. J. Am. Statist. Assoc. 97, 29-39.
9. TUMMARELLO, D., MARI, D., GRAZIANO, F., ISIDORI, P., CETTO, G., PASINI, F., SANTO, A. & CELLERINO, R. (1994). A randomized, controlled phase iii study of cyclophosphamide, doxorubicin and vincristine with etposide (cav-e) or teniposide (cav-t), followed by recombinant a-interferon maintenance therapy or observation, in small cell lung carcinoma patients with complete responses. Anticancer Res. 14, 2221-8.
10. VAN DER LAAN, M. J. & HUBBARD, A. (1999). Locally efficient estimation of the quality adjusted lifetime distribution with right-censored data and covariates. Biometrics 55, 530-6.
11. WAHED, A. S. & TSIATIS, A. A. (2004). Optimal estimator for the survival distribution and related quantities for treatment policies in two-stage randomization designs in clinical trials. Biometrics 60, 124-33.