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On sum of 0–1 random variables I. Univariate case

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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.

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Authors and Affiliations

  1. University of Tokyo, Tokyo, Japan

    Kei Takeuchi & Akimichi Takemura

Authors
  1. Kei Takeuchi
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  2. Akimichi Takemura
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Takeuchi, K., Takemura, A. On sum of 0–1 random variables I. Univariate case. Ann Inst Stat Math 39, 85–102 (1987). https://doi.org/10.1007/BF02491451

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  • DOI: https://doi.org/10.1007/BF02491451

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