On the number of positive sums of random variables
- 1 January 1949
- journal article
- avhandlingar
- Published by Taylor & Francis in Scandinavian Actuarial Journal
- Vol. 1949 (1) , 27-36
- https://doi.org/10.1080/03461238.1949.10419756
Abstract
1. The following theorem is due to P. Erdös and M. Kac 1 P. Erdos and M. Kac, On the number of positive sums of independent random variables, Bull. Amer, Math. Soc., vol. 53 (1947), pp. 1011–20. View all notes : Let X 1, X 2, … be independent random variables each having mean 0 and variance 1 and such that the central limit theorem is applicable. Let Sk = X 1 + ... + X k and let Nn denote the number of Sk's 1 ≤ k ≤ n, which are positive. Then,Keywords
This publication has 1 reference indexed in Scilit:
- On the number of positive sums of independent random variablesBulletin of the American Mathematical Society, 1947