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

Facultad de Ingeniería y Ciencias

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	237-250
Número de páginas	14
Publicación	Statistics and Probability Letters
Volumen	66
N.º	3
DOI	https://doi.org/10.1016/j.spl.2003.10.015
Estado	Publicada - 15 feb. 2004

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title = "On random splitting of the interval",

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",

note = "Funding Information: T. Huillet thanks the Centro de Modelamiento Matem{\'a}tico CMM for its warm hospitality on a visiting occasion. J. Barrera thanks support from the Millenium Nucleus in Information and Randomness, Programa Cient{\'ı}fico Milenio P01-005, Ecos/Conicyt C99E09 (French–Chilean Cooperation), Proyecto MECESUP UCH0009 and CONICYT Ph.D fellowship.",

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AU - Huillet, Thierry

N1 - Funding Information: T. Huillet thanks the Centro de Modelamiento Matemático CMM for its warm hospitality on a visiting occasion. J. Barrera thanks support from the Millenium Nucleus in Information and Randomness, Programa Cientı́fico Milenio P01-005, Ecos/Conicyt C99E09 (French–Chilean Cooperation), Proyecto MECESUP UCH0009 and CONICYT Ph.D fellowship.

PY - 2004/2/15

Y1 - 2004/2/15

N2 - 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.

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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DO - 10.1016/j.spl.2003.10.015

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SN - 0167-7152

VL - 66

SP - 237

EP - 250

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 3

ER -

On random splitting of the interval

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