Results of many previous studies on the rate of small business failure suggest an inverse relationship between size of business and propensity to fail. However, it has been suggested that this inverse relationship, between firm size and the rate of discontinuance, may more accurately be...

This paper aims to investigate the importance levels of the components in two groundwater remediation systems and examine the impact of each component on the whole system. Four measures are introduced including structural importance (SI), Birnbaum importance (BI), criticality importance (CI),...

The reliability behaviour of systems under changeable load is studied in the paper. A case when the load changes continuously in time is considered, i.e., a continuous extension of the discrete load-share reliability models is proposed. The main assumption used in the paper is the so-called...

Motivated by the observation that for a sample of size two from an exponential distribution, the largest order statistic is distributed as a convolution of two independent exponential random variables with distributions differing only in their intensity or rate parameter, a spectrum of related...

Optimal age replacement policies for network components such as cables, overhead lines or transformers are usually identified based on gathered knowledge about the state of a component and its stochastic deterioration process. In this context, uncertainty is an important challenge because...

Operation and maintenance (O&M) cost will be the key to the economic viability of large offshore wind farms planned worldwide. In order to support investment decisions a systematic mathematical approach to the O&M cost contributions is required prior to detailed engineering or even construction...

Within set-valued analysis there exist several notions related to the infinitesimal behavior of set-valued functions. One more such notion, needed for a class of spacial statistical problems, was proposed in Khmaladze (2007). Recently we found another suitable characteristic of this evolution,...