of the model rank of simple financial risk systems in six Asian countries, in particular in Taiwan. Third, often it is … - uncertainty, complexity and rank. First, the concept of epistemic uncertainty is sufficient for modeling and the concept of … probability is unnecessary. This is illustrated by 'Galton's Error,' and the under-repesentation of systematic risk by American …

A novel algorithm is developed for the problem of finding a low-rank correlation matrix nearest to a given correlation … within a fixed computational time. The problem of rank reduction of correlation matrices occurs when pricing a derivative …

Geometric optimisation algorithms are developed that efficiently find the nearest low-rank correlation matrix. We show … nearest low-rank correlation matrix occurs as part of the calibration of multi-factor interest rate market models to …

incomplete markets and indivisible labor generates an aggregation error that looks much like the preference residual in the data …

'remanence' created by the aggregation of non- linear dynamics. Stochastic simulations are employed to analyse the properties of …