加权分支过程的单调性、对偶性和Feller性质
The Monotonicity, Duality and Feller Property of Weighted Markov Branching Process
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摘要: 研究加权分支过程的单调性, 对偶性以及Feller性质, 并得到了加权分支q矩阵的最小Q函数成为单调或对偶时的充要条件, 特别是得到了当Q既不对偶也不单调时的Feller准则.
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关键词:
- 对偶,Feller性,单调,零入,零出
Abstract: In this paper, the monotonicity, duality and Feller property of weighted Markov branching processes are studied and some necessary and sufficient conditions for the minimal Q-function being an monotone or dual transition function are obtained, where Q is a weighted Markov branching q-matrix. Especially, Feller criteria are obtained when Q is neither dual nor monotone. -
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