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On a limit theorem for a non-linear scaling
Statistics & Probability Letters ( IF 0.9 ) Pub Date : 2021-05-31 , DOI: 10.1016/j.spl.2021.109163 Zbigniew J. Jurek
中文翻译:
关于非线性标度的极限定理
更新日期:2021-06-09
Statistics & Probability Letters ( IF 0.9 ) Pub Date : 2021-05-31 , DOI: 10.1016/j.spl.2021.109163 Zbigniew J. Jurek
In this note we proved that weak limits, of sums of positive, independent and identically distributed random variables which are re-normalized by a non-linear shrinking transform , are either degenerate or (some) compound Poisson distributions.
中文翻译:
关于非线性标度的极限定理
在本笔记中,我们证明了通过非线性收缩变换重新归一化的正、独立和同分布随机变量之和的弱极限 , 要么是退化的,要么是(一些)复合泊松分布。