Binomial subsampling

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Binomial subsampling. / Wiuf, Carsten; Stumpf, Michael P.H.

I: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Bind 462, Nr. 2068, 01.01.2006, s. 1181-1195.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Wiuf, C & Stumpf, MPH 2006, 'Binomial subsampling', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, bind 462, nr. 2068, s. 1181-1195. https://doi.org/10.1098/rspa.2005.1622

APA

Wiuf, C., & Stumpf, M. P. H. (2006). Binomial subsampling. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2068), 1181-1195. https://doi.org/10.1098/rspa.2005.1622

Vancouver

Wiuf C, Stumpf MPH. Binomial subsampling. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2006 jan. 1;462(2068):1181-1195. https://doi.org/10.1098/rspa.2005.1622

Author

Wiuf, Carsten ; Stumpf, Michael P.H. / Binomial subsampling. I: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2006 ; Bind 462, Nr. 2068. s. 1181-1195.

Bibtex

@article{20a6e59e8f5347f48ee6218bce053537,
title = "Binomial subsampling",
abstract = "In this paper, we discuss statistical families P with the property that if the distribution of a random variable X is in P, then so is the distribution of Z∼Bi(X, p) for 0≤p≤1. (Here we take Z∼Bi(X, p) to mean that given X = x, Z is a draw from the binomial distribution Bi(x, p).) It is said that the family is closed under binomial subsampling. We characterize such families in terms of probability generating functions and for families with finite moments of all orders we give a necessary and sufficient condition for the family to be closed under binomial subsampling. The results are illustrated with power series and other examples, and related to examples from mathematical biology. Finally, some issues concerning inference are discussed.",
keywords = "Binomial distribution, Biological networks, Closure property, Power series, Sampling",
author = "Carsten Wiuf and Stumpf, {Michael P.H.}",
year = "2006",
month = jan,
day = "1",
doi = "10.1098/rspa.2005.1622",
language = "English",
volume = "462",
pages = "1181--1195",
journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",
issn = "1364-5021",
publisher = "The/Royal Society",
number = "2068",

}

RIS

TY - JOUR

T1 - Binomial subsampling

AU - Wiuf, Carsten

AU - Stumpf, Michael P.H.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - In this paper, we discuss statistical families P with the property that if the distribution of a random variable X is in P, then so is the distribution of Z∼Bi(X, p) for 0≤p≤1. (Here we take Z∼Bi(X, p) to mean that given X = x, Z is a draw from the binomial distribution Bi(x, p).) It is said that the family is closed under binomial subsampling. We characterize such families in terms of probability generating functions and for families with finite moments of all orders we give a necessary and sufficient condition for the family to be closed under binomial subsampling. The results are illustrated with power series and other examples, and related to examples from mathematical biology. Finally, some issues concerning inference are discussed.

AB - In this paper, we discuss statistical families P with the property that if the distribution of a random variable X is in P, then so is the distribution of Z∼Bi(X, p) for 0≤p≤1. (Here we take Z∼Bi(X, p) to mean that given X = x, Z is a draw from the binomial distribution Bi(x, p).) It is said that the family is closed under binomial subsampling. We characterize such families in terms of probability generating functions and for families with finite moments of all orders we give a necessary and sufficient condition for the family to be closed under binomial subsampling. The results are illustrated with power series and other examples, and related to examples from mathematical biology. Finally, some issues concerning inference are discussed.

KW - Binomial distribution

KW - Biological networks

KW - Closure property

KW - Power series

KW - Sampling

UR - http://www.scopus.com/inward/record.url?scp=33845276871&partnerID=8YFLogxK

U2 - 10.1098/rspa.2005.1622

DO - 10.1098/rspa.2005.1622

M3 - Journal article

AN - SCOPUS:33845276871

VL - 462

SP - 1181

EP - 1195

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 1364-5021

IS - 2068

ER -

ID: 203900718