Bjornberg, Jakob E., Mailler, Cecile ORCID: 0000-0002-0910-8320, Moerters, Peter and Ueltschi, Daniel (2020). Characterising random partitions by random colouring. Electron. Commun. Probab., 25. SEATTLE: UNIV WASHINGTON, DEPT MATHEMATICS. ISSN 1083-589X

Full text not available from this repository.

Abstract

Let (X-1, X-2, ...) be a random partition of the unit interval [0, 1], i.e. X-i >= 0 and Sigma(i >= 1) X-i = 1, and let (epsilon(1), epsilon(2), ...) be i.i.d. Bernoulli random variables of parameter p is an element of (0, 1). The Bernoulli convolution of the partition is the random variable Z = Sigma(i >= 1) epsilon X-i(i). The question addressed in this article is: Knowing the distribution of Z for some fixed p is an element of (0, 1), what can we infer about the random partition (X-1, X-2, ...)? We consider random partitions formed by residual allocation and prove that their distributions are fully characterised by their Bernoulli convolution if and only if the parameter p is not equal to 1/2.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Bjornberg, Jakob E.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Mailler, CecileUNSPECIFIEDorcid.org/0000-0002-0910-8320UNSPECIFIED
Moerters, PeterUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Ueltschi, DanielUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-351635
DOI: 10.1214/19-ECP283
Journal or Publication Title: Electron. Commun. Probab.
Volume: 25
Date: 2020
Publisher: UNIV WASHINGTON, DEPT MATHEMATICS
Place of Publication: SEATTLE
ISSN: 1083-589X
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Statistics & ProbabilityMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/35163

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item