Study on Robustness of Strehler-Mildvan Model

2000 Mathematics Subject Classi cation: 62F35, 62F15

The probability that a device will work properly after a certain period of time can be studied using the Strehler-Mildvan model. Let us suppose that the functionality of a device depends on an unknown parameter X, which decreases progressively in time. The device stops working if X goes below a certain given value. We can use the method of maximum likelihood to estimate the parameters of the model and to estimate the probability of proper work at a future moment using the survival function. This model can be modified in order its robust performance to be improved. We will consider the breakdown properties of the model using the WLTE(k) Estimators and the theory of d-fullness of the set of subcompact functions.

Research partially supported by contracts: PRO-ENBIS: GTC1-2001-43031