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Almost Sure Limit Theorems for Multivariate General Standard Normal Sequences and Applications

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Under suitable conditions, the almost sure central limit theorems for the maximum of general standard normal sequences of random vectors are proved. The simulation of the almost sure convergence for… Click to show full abstract

Under suitable conditions, the almost sure central limit theorems for the maximum of general standard normal sequences of random vectors are proved. The simulation of the almost sure convergence for the maximum is firstly performed, which helps to visually understand the theorems by applying to two new examples.

Keywords: standard normal; normal sequences; limit theorems; almost sure; general standard

Journal Title: Mathematical Problems in Engineering
Year Published: 2020

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