论文信息 - On the central limit theorem in the case of not equally distributed random variables

On the central limit theorem in the case of not equally distributed random variables

1. Introduction. In two earlier papers 1 I have studied the difference between the d. f. of a sum of n equally distributed random variables and a corresponding normal d. f. I also remarked that my method could be used for not equally distributed variables. As this case presents some new aspects I will treat it here.

H. Bergström | Harald Bergström

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[3] A. C. Berry. The accuracy of the Gaussian approximation to the sum of independent variates , 1941 .

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[5] H. Bergström. On the central limit theorem , 1944 .

[6] H. Bergström,et al. On the central limit theorem in the space Rk , k> 1. , 1945 .