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Erschienen in:
Rearrangements, L-Superadditivity and Jensen-Type Inequalities Kapitel lesen Erstes Kapitel lesen

2022 | OriginalPaper | Buchkapitel

On the Approximation of Extinction Time for the Discrete-Time Birth–Death Circuit Chains in Random Environments

verfasst von : Chrysoula Ganatsiou

Erschienen in: Approximation and Computation in Science and Engineering

Verlag: Springer International Publishing

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Abstract

We investigate suitable expressions for the mean time to extinction of the corresponding “adjoint” circuit chains describing uniquely the discrete-time birth–death model in random environments.

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Vorheriges Kapitel Approximation by Mixed Operators of Max-Product–Choquet Type
Nächstes Kapitel Some Hyperstability Results in Non-Archimedean 2-Banach Space for a σ-Jensen Functional Equation
Literatur
1.
K.L. Chung, Markov Chains with Stationary Transition Probabilities, 2nd edn. (Springer, Berlin, 1967)MATH
2.
F.W. Crawford, M.A. Suchard, Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution. J. Math. Biol. 65, 553–580 (2012)MathSciNetCrossRefMATH
3.
W. Feller, An Introduction to Probability Theory and its Applications, vol. I, 3rd edn. (Wiley, Hoboken, 1968)
4.
W. Feller, An Introduction to Probability Theory and its Applications, vol. II, 2nd edn. (Wiley, Hoboken, 1971)
5.
6.
Ch. Ganatsiou, On the application of Markov chains’ cycle representation to a random walk with jumps in a fixed, random environment, in Proceedings of the 33th International Conference on Stochastic Processes and Their Applications, Berlin (2009)
7.
Ch. Ganatsiou, On cycle representations of random walks in fixed, random environments, in Proceedings of the 58th World Congress of the International Statistical Institute, Dublin (2011), pp. 4628–4631
8.
Ch. Ganatsiou, On cycle representations of discrete-time birth-death processes, in Proceedings of the 29thEuropean Meeting of Statisticians, Budapest (2013)
9.
10.
Ch. Ganatsiou, On the study of circuit chains associated with a random walk with jumps in fixed, random environments, in Proceedings of the 7thEuropean Congress of Mathematics, Berlin (2016)
11.
Ch. Ganatsiou, On the study of circuit chains associated with a random walk with jumps in fixed, random environments: criteria of recurrence and transience, in Mathematical Analysis and Applications, ed. by T. Rassias, P. Pardalos. Springer Optimization and Its Applications, vol 154 (Springer, Berlin, 2019), pp. 185-203
12.
Ch. Ganatsiou, On the expected extinction time for the adjoint birth-death circuit chains in random environments, in Proceedings of the 32ndEuropean Meeting of Statisticians, Palermo (2019)
13.
Ch. Ganatsiou, et al., On discrete-time birth-death processes defined by directed weighted circuits, JP. J. Biostatist. 11(2),103–116 (2014)
14.
Ch. Ganatsiou, et al., On the study of discrete-time birth-death circuit chains in random ergodic environments, JP J. Biostatist. 11(2), 157–168 (2014)
15.
C. Gardiner, Stochastic Methods: A Handbook for the Natural and Social Sciences, 4th edn. (Springer, Berlin, 2009)MATH
16.
J. Grasman, Stochastic epidemics: the expected duration of the endemic period in higher dimensional models. Math. Biosci. 152(1), 13–27 (1998)MathSciNetCrossRefMATH
17.
G.R. Grimmett, D.R. Stirzaker, Probability and Random Processes, 3rd edn. (Oxford University Press, Oxford, 2005)MATH
18.
B.D. Hughes, Random Walks and Random Environments, Volume 1: Random Walks (Oxford University Press, Oxford, 1995)MATH
19.
M. Iosifescu & P. Tautu, Stochastic Processes and Applications in Biology and Medicine I, 1st edn. (Springer, Berlin, 1973)CrossRefMATH
20.
21.
S. Karlin, H. Taylor, An Introduction to Stochastic Modelling, 3rd edn. (Academic, Cambridge, 1998)MATH
22.
M. Loeve, Probability Theory, 3rd edn. (Dover Publications, Mineola, 2017)MATH
23.
24.
Q. Minping, Q. Min, Circulation for recurrent Markov chains. Z. Wahrsch. Verw. Gebiete 59(2), 203–210(1982)
25.
I. Nassel, On the quasi-stationary distribution of the stochastic logistic epidemic. Math. Biosci. 156(1–2), 21–40 (1999)MathSciNetCrossRef
26.
T.J. Newman, J.B. Ferdy, C. Quince, Extinction times and moments closure in the stochastic logistic process. Theoret. Population Biol. 65, 115–126 (2004)CrossRefMATH
27.
A.S. Novozhilov, G.P. Karev, E.V. Koonin, Biological applications of the theory of birth-and-death processes. Brief. Bioinform. 7, 70–85 (2006)CrossRef
28.
M.A. Nowak, Evolutionary Dynamics: Exploring the Equations of Life (Harvard University Press, Cambridge, 2006)CrossRefMATH
29.
P.R. Parthasarathy, R.B. Lenin, Birth and death process (BDP) models with applications—queueing, communication systems, chemical models, biological models: the state-of-the-art with a time-dependent perspective, in American Series in Mathematical and Management Sciences 51 (American Sciences Press, Syracuse, New York, Incorporated, 2004)
30.
N. Privault, Understanding Markov Chains: Examples and Applications, 2nd edn. (Springer, Singapore, 2018)CrossRefMATH
31.
L.M. Ricciardi, Stochastic population theory: birth and death processes, in Biomathematics, ed. by T.G. Hallam, S.A. Levin. Mathematical Ecology, vol. 17 (Springer, Berlin, 1986), pp. 155–190
32.
K.H. Rosen, Handbook of Discrete and Combinatorial Mathematics, 1st edn. (Chapman and Hall/CRC, Boca Raton, 1999)CrossRef
33.
K.H. Rosen, Discrete Mathematics and Its Applications, 6th edn. (McGraw Hill, New York, 2006)
34.
J.M. Steele, Stochastic Calculus and Financial Applications (Springer, New York, 2001)CrossRefMATH
35.
Z.K. Wang, X.Q. Yang, The Birth and Death Processes and Markov Chains (Springer, Berlin, 1992)MATH
36.
D.J. Wilkinson, Stochastic Modeling for Systems Biology (Chapman & Hall, London, 2011)CrossRef
37.
A.H. Zemanian, Infinite Electrical Networks (Cambridge University Press, Cambridge, 1991)CrossRefMATH
Metadaten
Titel
On the Approximation of Extinction Time for the Discrete-Time Birth–Death Circuit Chains in Random Environments
verfasst von
Chrysoula Ganatsiou
Copyright-Jahr
2022
Buch
Approximation and Computation in Science and Engineering

Print ISBN: 978-3-030-84121-8

Electronic ISBN: 978-3-030-84122-5

Copyright-Jahr: 2022

DOI
https://doi.org/10.1007/978-3-030-84122-5_18