Asymptotic Distribution and Moments of Normal Extremes

K. Aiyappan Nair

doi:10.1214/aop/1176994515

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Home > Journals > Ann. Probab. > Volume 9 > Issue 1 > Article

February, 1981 Asymptotic Distribution and Moments of Normal Extremes

K. Aiyappan Nair

Ann. Probab. 9(1): 150-153 (February, 1981). DOI: 10.1214/aop/1176994515

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Abstract

Let $X(n)$ be the largest observation in a random sample of size $n$ from a standard normal population. In this paper we investigate the limiting behavior of the distribution and the moments of $X(n)$ for large $n$. The results of this paper provide rates of convergence of the distribution and the moments of $X(n)$.

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K. Aiyappan Nair. "Asymptotic Distribution and Moments of Normal Extremes." Ann. Probab. 9 (1) 150 - 153, February, 1981. https://doi.org/10.1214/aop/1176994515