66 citations · 86 across the 13 of their papers we have counts for
4 papers · 2 filters
Counting the Chain Records: The Product Case
Alexander V. Gnedin
Chain records is a new type of multidimensional record. We discuss how often the chain records are broken when the background sampling is from the unit cube with uniform distributi…
Rank Independence and Rearrangements of Random Variables
Alexander Gnedin, Zbigniew Nitecki
A rearrangement of independent uniform random variables is a sequence of random variables whose vector of order statistics has the same distribution a…
Self-similar and Markov composition structures
Alexander Gnedin, Jim Pitman
The bijection between composition structures and random closed subsets of the unit interval implies that the composition structures associated with for a self-simila…
Regenerative Compositions in the Case of Slow Variation
Andrew D. Barbour, Alexander V. Gnedin
For a subordinator and an independent Poisson process of intensity we are interested in the number of gaps in the range of that are hit by at le…