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arxiv: 1606.07011 · v3 · submitted 2016-06-22 · 🧮 math.PR

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Extremes of α(t)-Locally stationary Gaussian processes with non-constant variances

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classification 🧮 math.PR
keywords alphafunctionsgaussianlocallynon-constantprocessesstationaryvariance
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With motivation from K. D\c{e}bicki and P. Kisowski (2007), in this paper we derive the exact tail asymptotics of $\alpha(t)$-locally stationary Gaussian processes with non-constant variance functions. We show that some certain variance functions lead to qualitatively new results.

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