Statistical simulation and the distribution of distances between identical elements in a random sequence |
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Authors: | Peter Zörnig |
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Affiliation: | Departamento de Estatística, Instituto de Ciências Exatas, Universidade de Brasília, 70910-900 Brasília-DF, Brazil |
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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. |
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Keywords: | Distribution of distances in sequences Statistical simulation MCMC Zipf&rsquo s law Power laws Quantitative linguistics Burstiness |
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