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Showing 2005 · math.PRShow all
3 papers · 2 filters
math.PR2005★ 12 cited
A strong invariance principle for associated random fields
Raluca M. Balan
In this paper we generalize Yu's [Ann. Probab. 24 (1996) 2079-2097] strong invariance principle for associated sequences to the multi-parameter case, under the assumption that the…
math.PR2005★ 34 cited
Bridges and networks: Exact asymptotics
Robert D. Foley, David R. McDonald
We extend the Markov additive methodology developed in [Ann. Appl. Probab. 9 (1999) 110-145, Ann. Appl. Probab. 11 (2001) 596-607] to obtain the sharp asymptotics of the steady sta…
math.PR2005★ 44 cited
Large deviations of a modified Jackson network: stability and rough asymptotics
Robert D. Foley, David R. McDonald
Consider a modified, stable, two node Jackson network where server 2 helps server 1 when server 2 is idle. The probability of a large deviation of the number of customers at node o…