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Precise Asymptotics For Order Statistics Of A Non-Random Sample And A Random Sample
一类非随机样本及随机样本的次序统计量的精致渐近性

Keywords: Precise asymptotics,Frechet distribution,maximum domain of attraction
精致渐近性
,Frechet分布,最大值吸引场

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Abstract:

In this paper, we discuss the precise asymptotics for order statistics of a random sample and a non-random sample that belong to the maximum domain of attraction(MDA) of ${\it \Phi}_{\alpha}$ for $\alpha>0$. It can be sees that the result of precise asymptotics for order statistics of a non-random sample is the particular case of the result for random sample when $\lambda=1$. Particularly, when $p=r$, the results are the same.

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