An Orthogonal-Polynomial Approach to First-Hitting Times of Birth–Death Processes

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van Doorn, Erik A. “An Orthogonal-Polynomial Approach to First-Hitting Times of Birth–Death Processes”. Journal of Theoretical Probability, vol. 30, no. 2, 2015, pp. 594-07, https://doi.org/10.1007/s10959-015-0659-z.
van Doorn, E. A. (2015). An Orthogonal-Polynomial Approach to First-Hitting Times of Birth–Death Processes. Journal of Theoretical Probability, 30(2), 594-607. https://doi.org/10.1007/s10959-015-0659-z
van Doorn, Erik A. “An Orthogonal-Polynomial Approach to First-Hitting Times of Birth–Death Processes”. Journal of Theoretical Probability 30, no. 2 (2015): 594-607. https://doi.org/10.1007/s10959-015-0659-z.
van Doorn EA. An Orthogonal-Polynomial Approach to First-Hitting Times of Birth–Death Processes. Journal of Theoretical Probability. 2015;30(2):594-607.
Refrences
Title Journal Journal Categories Citations Publication Date
Quasi-stationary distribution for the birth–death process with exit boundary Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
5 2015
10.1017/S0021900200012353 Journal of Applied Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2015
Hitting Time Distributions for Denumerable Birth and Death Processes Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
20 2012
On Times to Quasi-stationarity for Birth and Death Processes Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
35 2009
On the α-Classification of Birth-Death and Quasi-Birth-Death Processes Stochastic Models
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
4 2006
Refrences Analysis
The category Science: Mathematics 8 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Analysis and Applications and Journal 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
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
Citations Analysis
The category Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 2 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The Birth–death Processes with Regular Boundary: Stationarity and Quasi-stationarity and was published in 2022. The most recent citation comes from a 2022 study titled The Birth–death Processes with Regular Boundary: Stationarity and Quasi-stationarity. This article reached its peak citation in 2022, with 2 citations. It has been cited in 2 different journals. Among related journals, the Acta Mathematica Sinica, English Series cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year