Two-sided reflection problem for the Markov modulated Brownian motion
In this paper we consider the two-sided reflection of a Markov modulated Brownian motion by analyzing the spectral properties of the matrix polynomial associated with the generator of the free process. We show how to compute for the general case the Laplace transform of the stationary distribution and the average loss rates at both barriers for the reflected process. This work extends previous partial results by broadening and completing the analysis for the special cases when the spectrum of the generator is nonsemi- simple, and for the delicate case where the asymptotic drift of the process is zero.
|Date of creation:||Oct 2010|
|Date of revision:|
|Contact details of provider:|| Postal: C/ Madrid, 126 - 28903 GETAFE (MADRID)|
Web page: http://portal.uc3m.es/portal/page/portal/dpto_estadistica
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:cte:wsrepe:ws104024. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.