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# Spacing Distribution of a Bernoulli Sampled Sequence

(2015)

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Abstract

We investigate the spacing distribution of sequence $S_n=\left\{0,\frac{1}{n},\frac{2}{n},\dots,\frac{n-1}{n},1\right\}$ after Bernoulli sampling. We describe the closed form expression of the probability mass function of the spacings, and show that the spacings converge in distribution to a geometric random variable.

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Author
abigail l turner
peng xu