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摘要
Kagan and Shalaevski (1967) have shown that if the random variables X-1,..., X-n are i.i.d. and the distribution of Sigma(n)(i=1) (X-i + a(i))(2)a(i) is an element of R depends only on Sigma(n)(i=1) a(i)(2), then each X-i similar to N(0, sigma). In this paper, we will give other characterizations of the normal distribution which are formulated in a similar spirit.
- 出版日期2016-7
