Unified representation of formulas for single birth processes

Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical problems (including uniqueness, recurrence, ergodicity, exponential ergodicity, strong ergodicity, as well as extinction prob...

Full description

Saved in:
Bibliographic Details
Published inFrontiers of Mathematics Vol. 9; no. 4; pp. 761 - 796
Main Authors CHEN, Mu-Fa, ZHANG, Yuhui
Format Journal Article
LanguageEnglish
Published Heidelberg Higher Education Press 01.08.2014
Springer Nature B.V
Subjects
Birth
China
Criteria
Ergodic processes
ergodicity
Laplace transforms
Linear equations
Mathematical analysis
Mathematics
Mathematics and Statistics
moments of return time
Poisson distribution
Poisson equation
recurrence
Representations
Research Article
Single birth process
Studies
Uniqueness
公式
单生过程
强遍历性
泊松方程
灭绝概率
统一处理
recurrence
uniqueness
moments of return time
60J60
Poisson equation
Single birth process
ergodicity
Online AccessGet full text
ISSN1673-3452
2731-8648
1673-3576
2731-8656
DOI10.1007/s11464-014-0381-7

Cover

More Information
Summary:Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical problems (including uniqueness, recurrence, ergodicity, exponential ergodicity, strong ergodicity, as well as extinction probability, etc.) for the processes are presented.
Bibliography:Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical problems （including uniqueness, recurrence, ergodicity, exponential ergodicity, strong ergodicity, as well as extinction probability, etc.） for the processes are presented.
11-5739/O1
Single birth process, Poisson equation, uniqueness, recurrence,ergodicity, moments of return time
recurrence
Document accepted on :2014-04-02
uniqueness
moments of return time
Document received on :2014-03-05
Poisson equation
Single birth process
ergodicity
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:1673-3452
2731-8648
1673-3576
2731-8656
DOI:10.1007/s11464-014-0381-7