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Minimal Radial Sub-Gamma Envelopes for Infinitely Divisible Random Vectors

Chen, Yichuan et al.
arXiv (All) · Papers
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52a20probability
Let X be a centered infinitely divisible random vector with finite second moment and covariance matrix Sigma. We define the radial pole C_X(t) as the smallest scale in a right sub-gamma bound for whose quadratic proxy is fixed at the true variance t^T Sigma t. A canonical directional measure a
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