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Moments for self-normalized partial sums

Matsui, Muneya et al.
arXiv (All) · Papers
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probability
We consider a regularly varying stationary sequence of random variables (Xt) with tail index ___ < 2. For these sequences we study the joint convergence of sums, `p- type moduli and maxima. We focus on ratio statistics, including the studentized sums and sums normalized by the corresponding maxima,
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