The First Exit Time Theory Applied to Life Table Data: The Health State Function of a Population and Other Characteristics |
| |
Authors: | Christos H Skiadas Charilaos Skiadas |
| |
Institution: | 1. ManLab, Department of Production Engineering and Management , Technical University of Crete , Chania , Crete , Greece skiadas@cmsim.net;3. Department of Mathematics and Computer Science , Hanover College , Hanover , Indiana , USA |
| |
Abstract: | In this article, we summarize the main parts of the first exit time theory developed in connection to the life table data and the resulting theoretical and applied issues. New tools arise from the development of this theory and especially the Health State Function and some important characteristics of this function. We provide both simple and complex models and propose a methodology for reconstructing the health state function from the provided first exit time density distribution (for the appropriate computer program, see http://www.cmsim.net). In the simpler case, this theory is applied for the reconstruction of the so-called Inverse-Gaussian function. |
| |
Keywords: | Demographic analysis First exit time probability density function Health State Function Hitting time model Inverse Gaussian Life Table Data Stochastic modeling |
|
|