Unified representation of formulas for single birth processes

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Cite
Chen, Mu-Fa, and Yuhui Zhang. “Unified Representation of Formulas for Single Birth Processes”. Frontiers of Mathematics in China, vol. 9, no. 4, 2014, pp. 761-96, https://doi.org/10.1007/s11464-014-0381-7.
Chen, M.-F., & Zhang, Y. (2014). Unified representation of formulas for single birth processes. Frontiers of Mathematics in China, 9(4), 761-796. https://doi.org/10.1007/s11464-014-0381-7
Chen, Mu-Fa, and Yuhui Zhang. “Unified Representation of Formulas for Single Birth Processes”. Frontiers of Mathematics in China 9, no. 4 (2014): 761-96. https://doi.org/10.1007/s11464-014-0381-7.
Chen MF, Zhang Y. Unified representation of formulas for single birth processes. Frontiers of Mathematics in China. 2014;9(4):761-96.
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
Speed of stability for birth-death processes Frontiers of Mathematics in China
  • Science: Mathematics
 42 2010
Eigentime identity for transient Markov chains Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 12 2006
Ergodic degrees for continuous-time Markov chains Science in China Series A: Mathematics 22 2004
Strong ergodicity for single-birth processes

 Journal of Applied Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 16 2001
Exponential ergodicity for single-birth processes

 Journal of Applied Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 13 2004
Refrences Analysis
Category Category Repetition
Science: Mathematics5
Science: Mathematics: Probabilities. Mathematical statistics3
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods1
The category Science: Mathematics 5 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Applied Probability and Frontiers of Mathematics in China. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Explicit representation of invariant measures for 2-death processes Statistics & Probability Letters
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 2024
Matrix-Analytic Methods for Solving Poisson’s Equation with Applications to Markov Chains of GI/G/1-Type SIAM Journal on Matrix Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Criteria on recurrence and uniqueness of time-continuous Markov chains with uniformly upward or downward finite ranges SCIENTIA SINICA Mathematica 2023
Augmented truncation approximations to the solution of Poisson’s equation for Markov chains Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2022
Inverse problems for ergodicity of Markov chains Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
Citations Analysis
Category Category Repetition
Science: Mathematics12
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Science: Mathematics: Probabilities. Mathematical statistics3
The category Science: Mathematics 12 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Criteria for Discrete Spectrum of 1D Operators and was published in 2014. The most recent citation comes from a 2024 study titled Explicit representation of invariant measures for 2-death processes. This article reached its peak citation in 2021, with 3 citations. It has been cited in 8 different journals. Among related journals, the Frontiers of Mathematics in China cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year