Abstract
AbstractAsymptotic behaviors of the extremes of the beta-normal distribution are derived. The higher-order asymptotic expansions of the probability density and cumulative distribution functions for the maximum are given under an optimal normalizing constants. In particular, the associated rates of convergence are explicitly calculated.
Funder
the scientific research fund of sichuan university of science & engineering
the opening project of sichuan province university key laboratory of bridge non-destruction detecting and engineering computing
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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