Hitting Time Distributions for Denumerable Birth and Death Processes

Article Properties
Cite
Gong, Yu, et al. “Hitting Time Distributions for Denumerable Birth and Death Processes”. Journal of Theoretical Probability, vol. 25, no. 4, 2012, pp. 950-8, https://doi.org/10.1007/s10959-012-0436-1.
Gong, Y., Mao, Y.-H., & Zhang, C. (2012). Hitting Time Distributions for Denumerable Birth and Death Processes. Journal of Theoretical Probability, 25(4), 950-980. https://doi.org/10.1007/s10959-012-0436-1
Gong, Yu, Yong-Hua Mao, and Chi Zhang. “Hitting Time Distributions for Denumerable Birth and Death Processes”. Journal of Theoretical Probability 25, no. 4 (2012): 950-80. https://doi.org/10.1007/s10959-012-0436-1.
Gong Y, Mao YH, Zhang C. Hitting Time Distributions for Denumerable Birth and Death Processes. Journal of Theoretical Probability. 2012;25(4):950-8.
Refrences
Title Journal Journal Categories Citations Publication Date
Speed of stability for birth-death processes Frontiers of Mathematics in China
  • Science: Mathematics
42 2010
On absorption times and Dirichlet eigenvalues ESAIM: Probability and Statistics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
18 2010
The Passage Time Distribution for a Birth-and-Death Chain: Strong Stationary Duality Gives a First Stochastic Proof Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
35 2009
On Hitting Times and Fastest Strong Stationary Times for Skip-Free and More General Chains Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
31 2009
On Times to Quasi-stationarity for Birth and Death Processes Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
35 2009
Refrences Analysis
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Frontiers of Mathematics in China and The Annals of Applied Probability. 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
Identifying the generator matrix of a stationary Markov chain using partially observable data

Chaos: An Interdisciplinary Journal of Nonlinear Science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Physics
2024
On the Kemeny time for continuous-time reversible and irreversible Markov processes with applications to stochastic resetting and to conditioning towards forever-survival

Journal of Statistical Mechanics: Theory and Experiment
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Mathematics
  • Science: Physics
1 2023
The Birth–death Processes with Regular Boundary: Stationarity and Quasi-stationarity Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2022
On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2022
Revisiting recurrence criteria of birth and death processes. Short proofs

Theory of Probability and Mathematical Statistics
  • Science: Mathematics: Probabilities. Mathematical statistics
2022
Citations Analysis
The category Science: Mathematics 15 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Hitting time distribution for skip-free Markov chains: A simple proof and was published in 2013. The most recent citation comes from a 2024 study titled Identifying the generator matrix of a stationary Markov chain using partially observable data. This article reached its peak citation in 2022, with 4 citations. It has been cited in 17 different journals. Among related journals, the Journal of Statistical Mechanics: Theory and Experiment cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year