Records, permutations and greatest convex minorants-Reference-Cited by-同舟云学术

Records, permutations and greatest convex minorants

Published:1989-07 Issue:1 Volume:106 Page:169-177
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Goldie Charles M.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

1. Extreme Values, Regular Variation and Point Processes

2. Remarks on the Convex Minorant of Brownian Motion

3. Tauberian theorems for Jakimovski and Karamata‐Stirling methods

4. The distribution of some variables on symmetric groups

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