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Statistical simulation and the distribution of distances between identical elements in a random sequence

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  • Zörnig, Peter

Abstract

We study the distributions of distances between identical elements of a random sequence (e.g. a sequence of coin tosses or die tosses). We provide methods to generate observations by means of a statistical simulation and show in particular that distributions of multiple distances obey a linear or geometric (mixture) probability model, respectively. The results are useful to discover certain structures in texts or other information strings.

Suggested Citation

  • Zörnig, Peter, 2010. "Statistical simulation and the distribution of distances between identical elements in a random sequence," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2317-2327, October.
    • Handle: RePEc:eee:csdana:v:54:y:2010:i:10:p:2317-2327
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    References listed on IDEAS

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    1. Eduardo G Altmann & Janet B Pierrehumbert & Adilson E Motter, 2009. "Beyond Word Frequency: Bursts, Lulls, and Scaling in the Temporal Distributions of Words," PLOS ONE, Public Library of Science, vol. 4(11), pages 1-7, November.
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