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In this paper we assume a multivariate risk model has been developed for a portfolio and its capital derived as a homogeneous risk measure. The Euler (or gradient) principle, then, states that the capital to be allocated to each component of the portfolio has to be calculated as an expectation...
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chain theory is summarized. Two common algorithms for generating random draws from complex joint distribution are presented … theory and to be familiar with discrete time Markov chains on a finite state space …
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intervals, hypothesis testing and decision theory …
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Important choices for efficient and accurate evaluation of marginal likelihoods by means of Monte Carlo simulation methods are studied for the case of highly non-elliptical posterior distributions. We focus on the situation where one makes use of importance sampling or the independence chain...
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