Reflecting Brownian motion in two dimensions: Exact asymptotics for the stationary distribution

We consider a two-dimensional semimartingale reflecting Brownian motion (SRBM) in the nonnegative quadrant. The data of the SRBM consists of a two-dimensional drift vector, a 2 × 2 positive definite covariance matrix, and a 2 × 2 reflection matrix. Assuming the SRBM is positive recurrent, we are int...

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Bibliographic Details
Main Authors: Jim Dai, Masakiyo Miyazawa
Format: Article
Language:English
Published: Institute for Operations Research and the Management Sciences (INFORMS) 2011-01-01
Series:Stochastic Systems
Subjects:
Online Access:http://www.i-journals.org/ssy/viewarticle.php?id=22&layout=abstract