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两参数强马氏过程之间的关系

杜保建 蔡定教 袁付顺

吉林大学学报(理学版)Issue(4):725-729,5.
吉林大学学报(理学版)Issue(4):725-729,5.DOI:10.13413/j.cnki.jdxblxb.2014.04.16

两参数强马氏过程之间的关系

Relations among Two-Parameter Strong Markov Processes

杜保建 1蔡定教 1袁付顺1

作者信息

  • 1. 安阳师范学院 数学与统计学院,河南 安阳 455000
  • 折叠

摘要

Abstract

Based on the definition approach of two-parameter Markov process,single-parameter strong Markov process and the relationship between the various stopping points,the 1-strong Markov process,the 2-strong Markov process and the wide-future strong Markov process with non-random parameter transformation were defined.Under the condition of random process being progressive measurability,the *-strong Markov process must be a 1,2-strong Markov process,the 1,2-strong Markov process must be a single-point strong Markov process.Under the condition of (F 4 ),the 1,2-strong Markov process must be a single-point strong Markov process.Wide-future strong Markov process must be a single-point strong Markov process.

关键词

*-强马氏过程/1-强马氏过程/2-强马氏过程/宽将来强马氏过程/单点强马氏过程

Key words

*-strong Markov process/1-strong Markov process/2-strong Markov process/wide-future strong Markov process/single-point strong Markov process

分类

数理科学

引用本文复制引用

杜保建,蔡定教,袁付顺..两参数强马氏过程之间的关系[J].吉林大学学报(理学版),2014,(4):725-729,5.

基金项目

国家自然科学基金(批准号:61073065)和河南省教育厅自然科学基金(批准号:14B110011) (批准号:61073065)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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