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系统科学与数学 2006
Precise Asymptotics For Order Statistics Of A Non-Random Sample And A Random Sample
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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.