Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2306

 Title: Study on Robustness of Strehler-Mildvan Model Authors: Atanasov, Dimitar Keywords: Robust StatisticsStatistics Issue Date: 2004 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 16, No 1, (2004), 5p-11p Abstract: 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. Description: 2000 Mathematics Subject Classi cation: 62F35, 62F15 URI: http://hdl.handle.net/10525/2306 ISSN: 0204-9805 Appears in Collections: 2004 Volume 16

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