initially on the basis of electronic technology, the researches in the field of reliability have proved their generality, so they can be applied to any technical system including the welding by pressure equipments. The structure of the welding by pressure equipments and their specific characteristics result in a more difficult reliability assurance of this type of systems. In this paper, the re...

The reliability diagram is a common diagnostic graph used to summarise and evaluate probabilistic forecasts. Its strengths lie in the ease with which it is produced and the transparency of its definition. While visually appealing, major long noted shortcomings lie in the difficulty of interpreting the graph visually; for the most part, ambiguities arise from variation in the distribution of for...

A notion of the positive spatial association is introduced in this paper to analyze spatial dependence of Boolean models with the focus on estimating the long-range spatial dependence. The explicit tail estimates for probabilities of simultaneous damage to two distant spatial regions are obtained using the regular variation method, and the long-range spatial covariance for the Boolean models wi...