The main purpose of this paper is to provide a methodology for discussing the fuzzy. This approach will be used to create the fuzzy E-Bayesian and Hierarchical Bayesian estimations of Kumaraswamy Distribution under censoring data by introducing and applying a theorem called “Resolution...

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...

The main research intent of this paper is to introduce the use of fault tree analysis (FTA) and failure mode and effects analysis (FMEA) in conjunction to analyse the risk and reliability of a complex mechatronic system in both qualitative and quantitative manner. The major focus is on handling...

Component failure in large-scale IT installations such as cluster supercomputers or internet service providers is becoming an ever larger problem as the number of processors, memory chips and disks in a single cluster approaches a million. In this paper, we present and analyze field-gathered...

Reliability has been largely applied to industrial systems in order to study the various possibilities of systems’ failure. The goal is to establish the chain of events leading to any system’s failure, namely the top event. Looking for the minimal paths leading to any system’s fault allows...

In winner-take-all tournaments, agents' performance is determined jointly by effort and luck, and the top performer is rewarded. We study the impact of the ''shape of luck'' -- the details of the distribution of performance shocks -- on incentives in such settings. We are concerned with the...

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...