title: A random effects model for multistate survival analysis with application to bone marrow transplants.
abstract: We present an extension of the non-homogeneous Markov model for a bone marrow transplant recovery process which allows for possible associations between the transition intensities. The associations between intensities are modeled by a correlated gamma frailty model. Based on a parametric model for the conditional transition intensities, we obtain estimates of the model parameters. We use these estimates to make predictions of patient's eventual prognosis given the current medical history of the patient. Estimates of the uncertainty in our predictions are obtained by a modified bootstrap technique.
authors.affiliation: Department of Mathematics, University of the Pacific, 3601 Pacific Avenue, Stockton, CA 95211, USA. mbhattacharyya@uop.edu
authors.forename: Mouchumi
authors.initials: M
authors.lastname: Bhattacharyya
authors.forename: John P
authors.initials: JP
authors.lastname: Klein
mesh_terms: D016026:Bone Marrow Transplantation; D005260:Female; D006086:Graft vs Host Disease; D006801:Humans; D015464:Leukemia, Myelogenous, Chronic, BCR-ABL Positive / Q000628:therapy; D008297:Male; D008390:Markov Chains; D008954:Models, Biological; D011336:Probability; D012008:Recurrence; D016019:Survival Analysis