Ratio limit theorems for branching Ornstein-Uhlenbeck processes

K. Enderle and H. Hering

Stochastic Processes and their Applications, 1982, vol. 13, issue 1, 75-85

Abstract: We prove ratio limit theorems for critical ano supercritical branching Ornstein-Uhlenbeck processes. A finite first moment of the offspring distribution {pn} assures convergence in probability for supercritical processes and conditional convergence in probability for critical processes. If even [Sigma]pnnlog+log+n

Keywords: Branching; diffusions; supercritical; processes; ratio; limit; theorems; branching; Ornstein-Uhlenbeck; process; critical; processes; conditional; ratio; limit; theorem (search for similar items in EconPapers)
Date: 1982
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