On Sum of 0–1 Random Variables I. Univariate Case

Kei Takeuchi ()
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Kei Takeuchi: Professor Emeritus, The University of Tokyo

Chapter Chapter 13 in Contributions on Theory of Mathematical Statistics, 2020, pp 359-379 from Springer

Abstract: Abstract Distribution of the 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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-55239-0_13

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DOI: 10.1007/978-4-431-55239-0_13

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