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Intrinsic time scaling in survival analysis: Application to biological populations

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Abstract

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.

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  1. Balcones Research Center, University of Texas System, Center for High Performance Computing, Department of Applications Research and Development, 1.154CMS, 10100 Burnet Road, 78758-4497, Austin, TX, U.S.A.

    T. Eakin

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Eakin, T. Intrinsic time scaling in survival analysis: Application to biological populations. Bltn Mathcal Biology 56, 1121–1141 (1994). https://doi.org/10.1007/BF02460289

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  • DOI: https://doi.org/10.1007/BF02460289

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