The Annals of Applied Probability
- Ann. Appl. Probab.
- Volume 8, Number 4 (1998), 1070-1129.
Large deviation properties of data streams that share a buffer
Using large deviation techniques, we analyze the tail behavior of the stationary distribution of the buffer content process for a two-station communication network. We also show how the associated rate function can be expressed as the solution to a finite-dimensional variational problem. Along the way, we develop a number of results and techniques that are of independent interest, including continuity results for the input-output mapping for certain multiclass fluid models and a new technique for obtaining large deviation principles for invariant distributions from sample path large deviation results.
Ann. Appl. Probab., Volume 8, Number 4 (1998), 1070-1129.
First available in Project Euclid: 9 August 2002
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Ramanan, Kavita; Dupuis, Paul. Large deviation properties of data streams that share a buffer. Ann. Appl. Probab. 8 (1998), no. 4, 1070--1129. doi:10.1214/aoap/1028903374. https://projecteuclid.org/euclid.aoap/1028903374