Intrinsic time scaling in survival analysis: application to biological populations.
A method of dimensionless time-scaling based on extrinsic expectation of life at birth but intrinsic to a system generating a survival distribution is introduced. Such scaling allows the survival fraction function and its associated mortality function to serve as Green's functions for their generalized equivalents, i.e., a "population" function and a "death" function. The analytical mechanics of utilizing these concepts are formulated, applied to the classical Gompertz and Weibull survival models, and discussed with respect to biological relevance.
Eakin
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University of Texas System, Center for High Performance Computing, Balcones Research Center, Austin.
D000818:Animals; D004175:Diptera; D004331:Drosophila melanogaster; D008433:Mathematics; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics; D016019:Survival Analysis; D013995:Time