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A Simple Survival Model for Combined Action of Two Damaging Agents
Author(s) -
Tanushev M.,
Myasnikova E. M.,
Yakovlev A. Yu.
Publication year - 1987
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710290117
Subject(s) - a priori and a posteriori , simple (philosophy) , mathematics , parametric statistics , life span , basis (linear algebra) , parametric model , probabilistic logic , action (physics) , statistics , medicine , physics , philosophy , geometry , epistemology , quantum mechanics , gerontology
The aim of this study was mathematical formalization of the development of two damage processes in response to the combined action of two different damaging agents. The model allows to obtain the parametric family of distributions for the life‐span when the organism's death is due to joint effect of two damage processes. Differing by their probabilistic meaning the notions of a priori ( M ( t )) and a posteriori ( M ( y )) conditional mean contributions of each damage process to the final effect of combined injury are introduced. The formulas permitting to compute the M and M values on the basis of survival data parametric analysis are given.