Modeling Multi-Dimensional Survival with Hazard Vector Fields

Traditional survival analysis deals with functions of one variable, "time." This paper explains the case of multiple and interacting aging metrics by introducing the notion of a hazard vector field This approach is shown to provide a more general framework than traditional survival analysis, including the ability to model multi-dimensional censored data~ A simple example illustrates how Green's Theorem in the plane applies to evaluate and even to theoretically optimize a course of action. One evident application is to the evaluation and promulgation of claim administration protocols. Keywords: survival, vector field, hazard, gradient, line integral