title: A distribution of tumor size at detection and its limiting form.
abstract: A distribution of tumor size at detection is derived within the framework of a mechanistic model of carcinogenesis with the object of estimating biologically meaningful parameters of tumor latency. Its limiting form appears to be a generalization of the distribution that arises in the length-biased sampling from stationary point processes. The model renders the associated estimation problems tractable. The usefulness of the proposed approach is illustrated with an application to clinical data on premenopausal breast cancer.
authors.affiliation: Department of Statistics, Ohio State University, Columbus 43210-1247, USA.
authors.forename: A Y
authors.initials: AY
authors.lastname: Yakovlev
authors.forename: L G
authors.initials: LG
authors.lastname: Hanin
authors.forename: S T
authors.initials: ST
authors.lastname: Rachev
authors.forename: A D
authors.initials: AD
authors.lastname: Tsodikov
mesh_terms: D001943:Breast Neoplasms / Q000473:pathology*; D005260:Female; D006801:Humans; D016013:Likelihood Functions; D008954:Models, Biological; D017697:Premenopause