On the central limit theorem in the case of not equally distributed random variables
- 1 January 1949
- journal article
- avhandlingar
- Published by Taylor & Francis in Scandinavian Actuarial Journal
- Vol. 1949 (1) , 37-62
- https://doi.org/10.1080/03461238.1949.10419757
Abstract
1. Introduction. In two earlier papers 1 Bergström H., On the Central Limit Theorem, Skandinavisk Aktuarietidskrift 1944, p. 139, and On the Central Limit Theorem in the Space Rk , k > 1, Skandinavisk Aktuarietidskrift 1946, p. 108. In the following they are denoted veith C. L. T. I and C. L. T. II respectively. View all notes 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.Keywords
This publication has 2 references indexed in Scilit:
- The accuracy of the Gaussian approximation to the sum of independent variatesTransactions of the American Mathematical Society, 1941
- Methoden der Mathematischen PhysikPublished by Springer Nature ,1931