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On sum of 0–1 random variables I. Univariate case |
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| Authors: | Kei Takeuchi Akimichi Takemura |
| Affiliation: | (1) University of Tokyo, Tokyo, Japan |
| Abstract: | Summary Distribution of sum of 0–1 random variables is considered. No assumption is made on the independence of the 0–1 variables. Using the notion of “central binomial moments” we derive distributional properties and the conditions of convergence to standard distributions in a clear and unified manner. |
| Keywords: | Binomial distribution central binomial moments finite exchange-ability orthogonal polynomials |
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