Ling Zhang
Abstract
This paper mainly study the almost sure limit for the maxima of the Gaussian sequence {X_n}. Using Normal Comparison Lemma and logarithmic average, we obtain an almost sure limit theorem for the maxima of Gaussian sequence under some conditions related to correlation.The case of stationary sequence is given as an example.
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This paper mainly study the almost sure limit for the maxima of the Gaussian sequence {X_n}. Using Normal Comparison Lemma and logarithmic average, we obtain an almost sure limit theorem for the maxima of Gaussian sequence under some conditions related to correlation.The case of stationary sequence is given as an example.
Key concepts: Mathematics, Maxima, Limit (mathematics), Sequence (biology), Gaussian, Lemma (botany), Logarithm, Stationary sequence