Certain Characterizations of Normal Distribution via Transformations
Certain Characterizations of Normal Distribution via Transformations
复制标题
通过变换得到正态分布的某些特征
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
H. Volkmer
中科院分区：
文献类型：
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作者：
G. Hamedani;H. Volkmer
众所周知，身份证。(独立同分布)正态随机变量被转化为I.I.D.正态随机变量的任意正交变换。不太为人所知的是具有上述性质的非线性变换。在这项工作中，我们提出了保持正规性的非线性变换，它比文献中已有的变换更具一般性。
It is well known that i.i.d. (independent and identically distributed) normal random variables are transformed into i.i.d. normal random variables by any orthogonal transformation. Less well known are nonlinear transformations with the above-mentioned property. In this work we present nonlinear transformations preserving normality, which are more general than the existing ones in the literature.