Large banks assess their regulatory capital for market risk using complex, firm-wide Value-at-Risk (VaR) models. In their 'bottom-up' approach to VaR there are many sources of model risk. A recent amendment to banking regulations requires additional market risk capital to cover all these model...

Two new concepts of order statistics for multivariate samples are introduced. In one of the versions it turns out that not every multivariate order statistic is present in every sample. These order statistics have application in multivariate ranked set sampling and can be used to generate broad...