Records, permutations and greatest convex minorants
1989 ◽
Vol 106
(1)
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pp. 169-177
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Keyword(s):
AbstractTheorems on random permutations are translated into distribution-free results about record times and greatest convex minorants, by defining them together on appropriate probability spaces. The Bernoulli random variables that appear in the standard representation of the number of sides of the greatest convex minorant of a random walk are identified.
1996 ◽
Vol 33
(01)
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pp. 146-155
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Keyword(s):
2004 ◽
Vol 37
(24)
◽
pp. 6221-6241
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2013 ◽
Vol 17
(3)
◽
pp. 579-604
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