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非标准的非齐次Markov链转移函数的两个基本问题
引用本文:于晓江.非标准的非齐次Markov链转移函数的两个基本问题[J].南开大学学报,1994,8(4):44-53.
作者姓名:于晓江
作者单位:南开大学数学系
摘    要:

关 键 词:非齐次转移函数  标准点  非标准点  马氏链

TWO FUNDAMENTAL PROBLEMS ABOUT THE NONSTANDARD NONHOMOGENEOUS MARKOV CHAIN TRANSITION FUNCTIONS
Yu Xiaojiang.TWO FUNDAMENTAL PROBLEMS ABOUT THE NONSTANDARD NONHOMOGENEOUS MARKOV CHAIN TRANSITION FUNCTIONS[J].Acta Scientiarum Naturalium University Nankaiensis,1994,8(4):44-53.
Authors:Yu Xiaojiang
Abstract:In this paper, the author studies two fundamental problems on the nonhomogeneous Markovian transition functions with at most denumerable state spaces. The first one is the relationships among the continuity,the measurability and the existence of all the limits on each moment. The second one is the relationship between the non-standarization and the standarization .
Keywords:nonhomogeneous transition functions  standard moments and non-standard moments  functions of intervals  norm integral of functions of intervals  infinite matrices  Banach algebras
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