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The standard method for generating multi-t vectors is simple and convenient but it has the disadvantage that the generated multi-normal and multi-t vectors are not similar. For t-copula models this destroys much of the variance reduction when using the result of the multi-normal model as...
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An accurate and efficient numerical approximation of the multivariate normal (MVN) distribution function is necessary for obtaining maximum likeli- hood estimates for models involving the MVN distribution. Numerical integration through simulation (Monte Carlo) or number-theoretic (quasi-Monte...
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to guide the selection of effective variance reduction techniques;specifically importance sampling and stratified … sampling.If the approximation is exact, then the importance sampling is shown to be asymptotically optimal.Numerical results … indicate that an appropriate combination of importance sampling and stratified sampling can result in large variance reductions …
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Monte Carlo simulation is playing an increasingly important role in the pricing and hedging of complex, path dependent financial instruments. Low discrepancy simulation methods offer the potential to provide faster rates of convergence than those of standard Monte Carlo methods; however, in high...
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