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On the Parametric Approach to Survival Data Analysis I. Radiobiological Applications
Author(s) -
Kadyrova N. O.,
Yakovlev A. Yu.
Publication year - 1985
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.4710270417
Subject(s) - parametric statistics , renewal theory , mathematics , basis (linear algebra) , distribution (mathematics) , statistical physics , counting process , set (abstract data type) , extension (predicate logic) , process (computing) , homogeneous , data set , life span , statistics , computer science , mathematical analysis , physics , geometry , programming language , operating system , gerontology , medicine
Acute radiation injury and postirradiation recovery have been formalized in terms of a Markovian homogeneous process of the random walk with a finite set of states, two absorbing barriers and continuous time. The distribution of time for such a process to reach (for the first time) the upper absorbing barrier was earlier obtained by SAATY (1961) and within the proposed model it coincides with the life span distribution for irradiated animals. The possibilities of finding the maximum likelihood estimates of unknown parameters are investigated by means of simulating experiments performed with a computer assistance. On the basis of simulation results the applicability of the proposed distribution for the purposes of survival data analysis is discussed. Extension of the model to accomodate two (or more) radiation syndromes is presented.