Abstract
The joint distribution of strength of materials is derived in terms of a set of conditional distributions to be used in studies on structural reliability. Bayes theorem of probability theory is used to update prior distributions for the parameters of Gaussian sequences by direct observations and/or by compliance tests. Maximum-Likelihood estimators are given for the efficient quantification of prior information. The formulae are applied to concrete production judged by standard tests. It is shown that statistical uncertainties must not be ignored in structural reliability studies.
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