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Self-Normalization, Sample Autocorrelations and the Extremogram

  • Thomas Mikosch,
  • Olivier Wintenberger

摘要

In this chapter we first present some consequences of the \(\alpha \) -stable limit theory developed in the previous chapter. In particular, we derive results about the joint convergence of sums and maxima of regularly varying stationary sequences, and distributional limits of self-normalized sums.