生灭过程遍历性判别准则的注记  

Remarks on Criteria of Ergodicity for Birth-death Processes

作　　者：吴炳耀 王健 WU Bing-yao;WANG Jian(College of Mathematics and Informatics,Fujian Normal University,Fuzhou 350117,China)

机构地区：[1]福建师范大学数学与信息学院

出　　处：《福建师范大学学报（自然科学版）》2019年第6期1-6,共6页Journal of Fujian Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11831014);福建省高等学校科技创新团队(IRTSTFJ);福建师范大学校创新团队“概率与统计:理论和应用”(IRTL1704)

摘　　要：通过研究Z_+上生灭过程各种遍历性质之间的关系,得到遍历性质可以直接推导出指数遍历、离散谱存在、强遍历等较强性质的充分条件,并且给出满足遍历性但充分条件和结论均不成立的例子.In order to study the relations among various ergodic properties of birth-death processes on Z_+, we establish sufficient conditions that ergodic property directly yields exponential ergodicity, the existence of discrete spectral and strong ergodicity as well as other stronger properties.Some examples that ergodicity is satisfied but both those sufficient conditions and conclusions do not hold are given.

关 键 词：遍历性 生灭过程 泛函不等式 

分 类 号：O211.62[理学—概率论与数理统计]