Record-dependent measures on the symmetric groups

A probability measure P[subscript n] on the symmetric group S[subscript n] is said to be record-dependent if P[subscript n]( σ ) depends only on the set of records of a permutation σ ∈ S[subscript n]. A sequence P = ( P n )[subscript n ∈ N] of consistent record-dependent measures determines a random...

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Bibliographic Details
Main Authors: Gnedin, Alexander, Gorin, Vadim
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Wiley Blackwell 2018
Online Access:http://hdl.handle.net/1721.1/115903
https://orcid.org/0000-0002-9828-5862