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Biostatistics (2004), 5, 3, pp. 415-425
Biostatistics Vol. 5 No. 3 © Oxford University Press 2004; all rights reserved.

Analysis of survival data with cross-effects of survival functions

Vilijandas Bagdonavicius

Department of Mathematical Statistics, University of Vilnius, Naugarduko 24, Vilnius, Lithuania

Mohamed A. Hafdi

Mohammed V University of Rabat, Maroc

Mikhail Nikulin{dagger}

Statistique Mathématique et ses applications, IFR 99 Santé Publique, Victor Segalen University, Bordeaux, France and Steklov Mathematical Institute, RAN, Saint Petersburg, Russia
nikou{at}sm.u\|[hyphen]\|bordeaux2.fr

{dagger} To whom correspondence should be addressed.

We present a model and semiparametric estimation procedures for analyzis of survival data with cross-effects (CE) of survival functions. Finite sample properties of the estimators are analyzed by simulation. A goodness-of-fit test for the proportional hazards model against the CE model is proposed. The well known data concerning effects of chemotherapy and radiotherapy on the survival times of gastric cancer patients is analyzed as an example.

Keywords: CE model; Chemotherapy; Chi-squared type test; Cross-effects; Gastric cancer data; Gastrointestinal tumor; GPH model; Hougaard–Aalen model; Hsieh Model; PH model; Radiotherapy; Semiparametric likelihood; Survival


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