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 Electronic Journal of Probability > Vol. 12 (2007) > Paper 26 open journal systems 


The Chain Records

Alexander V. Gnedin, Rijksuniversiteit Utrecht, The Netherlands


Abstract
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.


Full text: PDF

Pages: 767-786

Published on: June 1, 2007


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Electronic Journal of Probability. ISSN: 1083-6489