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- W1528779940 abstract "A rearrangement of $n$ independent uniform $[0,1]$ random variables is a sequence of $n$ random variables $Y_1,...,Y_n$ whose vector of order statistics has the same distribution as that for the $n$ uniforms. We consider rearrangements satisfying the strong rank independence condition, that the rank of $Y_k$ among $Y_1,...,Y_k$ is independent of the values of $Y_1,...,Y_{k-1}$, for $k=1,...,n$. Nontrivial examples of such rearrangements are the travellers' processes defined by Gnedin and Krengel. We show that these are the only examples when $n=2$, and when certain restrictive assumptions hold for $ngeq 3$; we also construct a new class of examples of such rearrangements for which the restrictive assumptions do not hold." @default.
- W1528779940 created "2016-06-24" @default.
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- W1528779940 date "2005-05-31" @default.
- W1528779940 modified "2023-09-27" @default.
- W1528779940 title "Rank Independence and Rearrangements of Random Variables" @default.
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