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.Distribution of distances in sequences Statistical simulation MCMC Zipf's law Power laws Quantitative linguistics Burstiness
Some properties of chaotic dynamical systems can be probed through features of recurrences, also cal...
Lecture Notes in Computer Science, Vol. 9082International audienceIn this paper we address the quest...
Many of the most fundamental forces in nature are dependent of the relative distance between points....
The distribution of the distance between two (or more) successive occurrences of a specific word in ...
<p>Observed and simulated observed distributions of pairwise genetic distances in the different grou...
The histograms show the estimated probability mass functions with selected parameter vectors (neff,...
International audienceTaylor's law states that variance of the distribution of distance between two ...
Taylor’s law states that the variance of the distribution of distance between two randomly chosen in...
The analysis of strings of $n$ random variables with geometric distributionhas recently attracted re...
AbstractFor words of length n, generated by independent geometric random variables, we consider the ...
A moment-based methodology is proposed for approx- imating the distribution of the distance between ...
Abstract. Language models are used in a variety of elds in order to support other tasks: classicatio...
Mehler A. A Model of the Distribution of the Distances of Alike Elements in Dialogical Communication...
International audienceA measure of randomness on the unit interval I := [0,1] tests how a sequenceX ...
We present a new mathematical formalism for analytically obtaining the probability density function,...
Some properties of chaotic dynamical systems can be probed through features of recurrences, also cal...
Lecture Notes in Computer Science, Vol. 9082International audienceIn this paper we address the quest...
Many of the most fundamental forces in nature are dependent of the relative distance between points....
The distribution of the distance between two (or more) successive occurrences of a specific word in ...
<p>Observed and simulated observed distributions of pairwise genetic distances in the different grou...
The histograms show the estimated probability mass functions with selected parameter vectors (neff,...
International audienceTaylor's law states that variance of the distribution of distance between two ...
Taylor’s law states that the variance of the distribution of distance between two randomly chosen in...
The analysis of strings of $n$ random variables with geometric distributionhas recently attracted re...
AbstractFor words of length n, generated by independent geometric random variables, we consider the ...
A moment-based methodology is proposed for approx- imating the distribution of the distance between ...
Abstract. Language models are used in a variety of elds in order to support other tasks: classicatio...
Mehler A. A Model of the Distribution of the Distances of Alike Elements in Dialogical Communication...
International audienceA measure of randomness on the unit interval I := [0,1] tests how a sequenceX ...
We present a new mathematical formalism for analytically obtaining the probability density function,...
Some properties of chaotic dynamical systems can be probed through features of recurrences, also cal...
Lecture Notes in Computer Science, Vol. 9082International audienceIn this paper we address the quest...
Many of the most fundamental forces in nature are dependent of the relative distance between points....
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