Construction of Belief Functions From Statistical Data About Reliability Under Epistemic Uncertainty

Probability theory is well adapted to handle aleatory uncertainties resulting from the variability of failure phenomena. Recently, several uncertainty theories such as belief function theory were introduced in reliability assessments to handle epistemic uncertainties resulting from the lack of knowledge or insufficient data. In this paper, we propose some methods to construct belief functions of reliability parameters of components from statistical data about reliability. The proposed methods consider the parametric estimation of reliability parameters.