On the stationary distribution of a storage process with local time input and subordinator output
نویسندگان
چکیده
In this paper, we introduce a storage process with singular continuous input and random output. That is the input process is defined by the local time at zero of a stationary reflecting Brownian motion with drift, and the output process is a strictly-stable subordinator. We show that the storage process is stationary in stationary state, and using some characters of subordinators, we derive the explicit expression of the stationary distribution for the storage process.
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