New PDF release: 6800 Software Gourmet Guide and Cookbook

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Extra info for 6800 Software Gourmet Guide and Cookbook

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1 As we can see, each aggregation operator may provide different results. However, in this example it seems clear that in most of the cases expert 3 (E3) is the one who makes the highest benefits in this financial problem since it has the lowest aggregated errors. 5 Conclusions We have studied the use of the OWA operator in the analysis of errors between two set of arguments. We have presented the OWAE operator as an aggregation operator that represents the different potential errors of a problem in a more complete way.

In example presented in Table 3, we used Pareto distributions for margins. When considering this distribution, it is possible to find cases in which we might have infinite expected values or variance, which are extreme cases that cause nonsubadditivity for the Value-at-Risk measure, but they are not the only cases in which this might occur. There are many risks, generally catastrophic risks, for which the Pareto distribution fits well, and for which the non-subadditivity property could fail when using non-coherent risk measures.

Solvency Capital Estimation and Risk Measures 41 Acknowledgments. This research is sponsored by the Spanish Ministry of Science ECO2010-21787. References 1. : Coherent Measures of Risk. Mathematical Finance 9(3), 203–228 (1999) 2. : Value at Risk. The new Benchmark for measuring financial risks. McGraw Hill, NY (2007) 3. : Symmetric Multivariate and Related distributions. Chapman and Hall, London (1990) 4. : Value at Risk and Beyond. Correlation and Dependency in Risk Management: properties and pitfalls.

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