On the Change Points of Mean Residual Life and Fail ure Rate for Some Extended Weibull Distributions
نویسندگان
چکیده
The lifetime distribution of many complex systems e xhibits bathtub-shaped failure rate (BFR). In this paper, we investigate the association between the m ean residual life (MRL) and failure rate (FR) of BFR distributions, especially with respect to their change points. Some generalizations of Weibull distribution that can be used to model bathtub-shap ed failure rate are used. The sensitivity of the ch ange points to the parameters is discussed. Besides, it is also of interest to investigate for what paramet ers or what BFR distribution, the flat portion of bathtub curve is long. Although it is not always the case, when the relative difference between the change poi nts is small, the flat portion tends to be longer. Some preliminary studies on this will also be prese nted.
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