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2007 The Chain Records
Alexander Gnedin
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Electron. J. Probab. 12: 767-786 (2007). DOI: 10.1214/EJP.v12-410


Chain records is a new type of multidimensional record. We discuss how often the chain records occur when the background sampling is from the unit cube with uniform distribution (or, more generally, from an arbitrary continuous product distribution in d dimensions). Extensions are given for sampling from more general spaces with a self-similarity property.


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Alexander Gnedin. "The Chain Records." Electron. J. Probab. 12 767 - 786, 2007.


Accepted: 1 June 2007; Published: 2007
First available in Project Euclid: 1 June 2016

zbMATH: 1127.60052
MathSciNet: MR2318409
Digital Object Identifier: 10.1214/EJP.v12-410

Primary: 60G70
Secondary: 60C05

Keywords: chains , Ewens partition , multidimensional records , random orders

Vol.12 • 2007
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