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High Level Exceeding Probability of a Gaussian Process with Constant Variance and Variable Smoothness

  • F. E. Koluzanov,
  • V. I. Piterbarg

摘要

Abstract

Exact asymptotic behavior is evaluated for high level exceeding probability of Gaussian process with constant variance the correlation function of which satisfies the Pickands’ condition at each point, while the constants in the condition change being continuous functions.