Premium
The Consideration of Latency Periods in Cumulative Damage Models
Author(s) -
Rittgen W.,
Becker N.
Publication year - 1991
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.4710330420
Subject(s) - log normal distribution , econometrics , statistics , cumulative distribution function , latency (audio) , mathematics , statistical physics , computer science , physics , probability density function , telecommunications
The cumulative damage model as outlined in previous papers is unable to reproduce latency periods, particularly after short‐term exposures. A refinement being straightforward within the present frame of point process theory is proposed using displacement processes applied to the single damages. For the displacement distribution, the lognormal distribution has been suggested. As in the previous model, exact formula for the behaviour of the survival function after the onset and the cessation of an additional exposure can be derived. Qualitative examinations demonstrate that the thus extended model shows the relevant features known from reports on shortterm exposures. Fitting the model to data of follow‐up studies should provide a measure for the impact of an environmental exposure and the parameters for the distribution of the related latency period.