Continuous-time Controlled Branching Processes
Continuous-time Controlled Branching Processes
In this paper, a controlled branching process with continuous time is introduced and studied in the critical case. First, the authors define controlled branching processes with continuous time and with single and multiple control functions. Two limit theorems are stated in the cases when the mean of the renewal periods is either finite or infinite. The main result is the investigation of controlled branching processes with continuous time and multiple control functions. The case with three specific control functions is considered which is a controlled branching process with random migration. Finally, the regenerative controlled branching process with continuous time is studied.
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
Applications of renewal theory (reliability, demand theory, etc.), limiting distributions, controlled branching processes, renewal processes, regenerative processes, Renewal theory, Random Time Change, Controlled Branching Processes, Renewal Processes, Branching processes (Galton-Watson, birth-and-death, etc.), Applications of branching processes, random time change, Regenerative Processes
Applications of renewal theory (reliability, demand theory, etc.), limiting distributions, controlled branching processes, renewal processes, regenerative processes, Renewal theory, Random Time Change, Controlled Branching Processes, Renewal Processes, Branching processes (Galton-Watson, birth-and-death, etc.), Applications of branching processes, random time change, Regenerative Processes
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