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of product for two or more random variables. Thus, the theory developed in this paper is useful for academics …
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We present several fast algorithms for computing the distribution of a sum of spatially dependent, discrete random variables to aggregate catastrophe risk. The algorithms are based on direct and hierarchical copula trees. Computing speed comes from the fact that loss aggregation at branching...
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applications in Risk Management, Finance, Economics, Science, and many other areas. This paper develops the theory on both density … . Thereafter, we extend the theory by establishing the density and distribution functions for the quotients Y=X1X2 and Z=X1X1+X2 of … two dependent normal random variables X1 and X2 in the case of Gaussian copulas. We then develop the theory on the median …
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This paper investigates whether multivariate crash risk is priced in the cross- section of expected stock returns. Motivated by a theoretical asset pricing model, we capture the multivariate crash risk of a stock by a combined measure based on its expected shortfall and its multivariate lower...
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