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In this paper, we provide a stable limit theorem for the asymptotic distribution of the sample average value-at-risk when the distribution of the underlying random variable X describing portfolio returns is heavy-tailed. We illustrate the convergence rate in the limit theorem assuming that X has...
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This paper seeks to identify computationally efficient importance sampling (IS) algorithms for estimating large … importance sampling to estimate large deviation probabilities in those models. Numerical evidence indicates that the proposed …
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useful for sampling observations efficiently, deriving moments in closed-form, and studying the distribution and performance … estimators. Our results extend upon [T. Bodnar, H. Dette, N. Parolya and E. Thorstén, Sampling distributions of optimal portfolio … weights and characteristics in low and large dimensions, Random Matrices: Theory Appl. 11 (2022)] …
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