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June, 1981 On Covering Single Points by Randomly Ordered Intervals
Henry Berbee
Ann. Probab. 9(3): 520-528 (June, 1981). DOI: 10.1214/aop/1176994426


A strictly increasing, pure jump process with stationary, independent increments hits a single point $r > 0$ with probability 0. Adapting a method of proof, due to Carleson, we obtain a similar result for processes with exchangeable increments. This enables us to solve a regularity problem from game theory concerning probabilities of covering single points by randomly ordered intervals.


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Henry Berbee. "On Covering Single Points by Randomly Ordered Intervals." Ann. Probab. 9 (3) 520 - 528, June, 1981.


Published: June, 1981
First available in Project Euclid: 19 April 2007

zbMATH: 0469.60099
MathSciNet: MR614638
Digital Object Identifier: 10.1214/aop/1176994426

Primary: 60K99
Secondary: 60J75 , 90D13

Keywords: Hitting probabilities of single points , Levy measure , overshot , stopping time

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 3 • June, 1981
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