Motivated in part by applications in reliability theory, life testing, and other areas, like finance or engineering, several authors have investigated the stochastic properties of order statistics and their spacings in the case when the observations are independent and identically distributed (i.i.d.). However, in some real situations, observations are non-i.i.d. Due to the complicated expressi...

There are many improvement methodologies and techniques available to improve plant reliability and availability, including such techniques as Reliability Centred Maintenance, PM Optimisation, Weibull analysis and others. However all of these techniques have significant limitations when it comes to dealing with high consequence, low probability events – those events that have potentially catastr...

Reliability is often understood as the probability that a structure will not fail to perform its intended function. In this paper, the general formulation of consistent evaluation of the safety of structures and the associated methods of analysis are reviewed. After the reliability analysis of a cantilever beam is demonstrated, the methodology of reliability-based optimization and the related p...