On random splitting of the interval

Javiera Barrera; Thierry Huillet

doi:10.1016/j.spl.2003.10.015

On random splitting of the interval

Javiera Barrera, Thierry Huillet

Faculty of Engineering and Science

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the colonizing process of space by some populations which can be verbally described as follows: Suppose a first incoming species occupies a random fraction of the available unit space. The forthcoming species takes an independent random fraction of the remaining space. There are n species and so there is a fraction of space occupied by no species. This model constitutes an approximation to the celebrated GEM interval partition.Essentially using moments, we study some statistical features of the induced partition structure of space.

Original language	English
Pages (from-to)	237-250
Number of pages	14
Journal	Statistics and Probability Letters
Volume	66
Issue number	3
DOIs	https://doi.org/10.1016/j.spl.2003.10.015
State	Published - 15 Feb 2004

Keywords

Partition structure
Random splitting of the interval
Ranking
Size-biased sampling
Stick breaking

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10.1016/j.spl.2003.10.015

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abstract = "We study the colonizing process of space by some populations which can be verbally described as follows: Suppose a first incoming species occupies a random fraction of the available unit space. The forthcoming species takes an independent random fraction of the remaining space. There are n species and so there is a fraction of space occupied by no species. This model constitutes an approximation to the celebrated GEM interval partition.Essentially using moments, we study some statistical features of the induced partition structure of space.",

keywords = "Partition structure, Random splitting of the interval, Ranking, Size-biased sampling, Stick breaking",

author = "Javiera Barrera and Thierry Huillet",

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AB - We study the colonizing process of space by some populations which can be verbally described as follows: Suppose a first incoming species occupies a random fraction of the available unit space. The forthcoming species takes an independent random fraction of the remaining space. There are n species and so there is a fraction of space occupied by no species. This model constitutes an approximation to the celebrated GEM interval partition.Essentially using moments, we study some statistical features of the induced partition structure of space.

KW - Partition structure

KW - Random splitting of the interval

KW - Ranking

KW - Size-biased sampling

KW - Stick breaking

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JO - Statistics and Probability Letters

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On random splitting of the interval

Abstract

Keywords

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