CAJ | 학술논문

本文运用基本更新定理和Smith关键更新定理等理论和方法,对马尔可夫骨架过程的极限分布进行深入研究,得到主要结果如下:去掉了原有结果中要求的绝对连续的条件,给出了马尔可夫骨架过程极限分布存在的充分条件;得到了马尔可夫骨架过程极限分布的具体公式,并证明了该极限分布为概率分布.
본문운용기본경신정리화Smith관건경신정리등이론화방법,대마이가부골가과정적겁한분포진행심입연구,득도주요결과여하:거도료원유결과중요구적절대련속적조건,급출료마이가부골가과정겁한분포존재적충분조건;득도료마이가부골가과정겁한분포적구체공식,병증명료해겁한분포위개솔분포.
This paper devotes to deeply study limit distribution of Markov skeleton processes through applying the theories and methods of fundamental renewal theorem and Smith key renewal theorem. Some main results are obtained as following: the author removes the original requirement of absolutely continuous condition and gives sufficient conditions for the existence of limit distribution; the author gives the concrete formula of limit distribution, and proves the limit distribution is a probability distribution.