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## Renshaw, Eric

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 Author ID: renshaw.eric Published as: Renshaw, E.; Renshaw, Eric External Links: MGP
 Documents Indexed: 56 Publications since 1972, including 4 Books
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#### Co-Authors

 21 single-authored 10 Chen, Anyue 4 Gibson, Gavin J. 4 Marion, Glenn 3 Gillespie, Colin S. 3 Henderson, Robin G. 3 Mao, Xuerong 2 Dai, Yonglong 2 Ford, David N. 2 Jakeman, Eric 2 Mateu, Jorge 2 Phayre, Sean 2 Särkkä, Aila 1 Capobianco, Rosa 1 Comas, Carlos 1 Mollison, Denis 1 Mugglestone, Moira A. 1 Sabanis, Sotirios 1 Saura, Fuensanta
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#### Serials

 16 Journal of Applied Probability 5 Computational Statistics and Data Analysis 4 IMA Journal of Mathematics Applied in Medicine and Biology 4 Stochastic Processes and their Applications 3 Advances in Applied Probability 3 Inverse Problems 2 Mathematical Biosciences 2 Biometrical Journal 2 Probability Theory and Related Fields 1 Journal of Mathematical Analysis and Applications 1 Biometrika 1 Journal of the London Mathematical Society. Second Series 1 The Mathematical Scientist 1 Theoretical Population Biology 1 Communications in Statistics. Stochastic Models 1 Journal of the Royal Statistical Society. Series B 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Stochastic Environmental Research and Risk Assessment 1 International Mathematical Journal 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 45 Probability theory and stochastic processes (60-XX) 22 Biology and other natural sciences (92-XX) 12 Statistics (62-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 993 times in 730 Documents Cited by Year
Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046
Mao, Xuerong; Marion, Glenn; Renshaw, Eric
2002
Modelling biological populations in space and time. Zbl 0754.92018
Renshaw, Eric
1991
Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027
Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric
2003
The M/M/1 queue with mass exodus and mass arrivals when empty. Zbl 0876.60079
Chen, Anyue; Renshaw, Eric
1997
Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024
Gibson, Gavin J.; Renshaw, Eric
1998
Modelling biological populations in space and time. Zbl 0779.92016
Renshaw, Eric
1993
Markov branching processes with instantaneous immigration. Zbl 0695.60080
Chen, A. Y.; Renshaw, Eric
1990
Convergence of the Euler scheme for a class of stochastic differential equations. Zbl 0987.60068
Marion, Glenn; Mao, Xuerong; Renshaw, Eric
2002
Stochastic population processes. Analysis, approximation, simulations. Zbl 1303.92001
Renshaw, Eric
2011
The correlated random walk. Zbl 0479.60071
Renshaw, Eric; Henderson, Robin
1981
Markov branching processes regulated by emigration and large immigration. Zbl 0836.60078
Chen, Anyue; Renshaw, Eric
1995
Markovian bulk-arriving queues with state-dependent control at idle time. Zbl 1046.60080
Chen, Anyue; Renshaw, Eric
2004
Birth-death processes with mass annihilation and state-dependent immigration. Zbl 0880.60088
Renshaw, Eric; Chen, Anyue
1997
Existence and uniqueness criteria for conservative uni-instantaneous denumerable Markov processes. Zbl 0791.60063
Chen, Anyue; Renshaw, Eric
1993
Gibbs point processes for studying the development of spatial-temporal stochastic processes. Zbl 1080.62066
Renshaw, Eric; Särkkä, Aila
2001
Stochastic modelling of environmental variation for biological populations. Zbl 0984.92039
Marion, Glenn; Renshaw, Eric
2000
Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration. Zbl 1045.60088
Chen, Anyue; Renshaw, Eric
2000
Recurrence of Markov branching processes with immigration. Zbl 0769.60077
Chen, Anyue; Renshaw, Eric
1993
A survey of stepping-stone models in population dynamics. Zbl 0607.60078
Renshaw, Eric
1986
Interconnected population processes. Zbl 0263.60039
Renshaw, E.
1973
Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026
Renshaw, Eric
1998
The general correlated random walk. Zbl 0814.60065
Chen, Anyue; Renshaw, Eric
1994
Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020
Marion, Glenn; Renshaw, Eric; Gibson, Gavin
1998
The analysis of marked point patterns evolving through space and time. Zbl 1157.62483
Särkkä, Aila; Renshaw, Eric
2006
Applying the saddlepoint approximation to bivariate stochastic processes. Zbl 0978.92022
Renshaw, Eric
2000
The Gillis-Domb-Fisher correlated random walk. Zbl 0768.60058
Chen, Anyue; Renshaw, Eric
1992
An improved saddlepoint approximation. Zbl 1119.62012
Gillespie, Colin S.; Renshaw, Eric
2007
A practical guide to the spectral analysis of spatial point processes. Zbl 0900.62493
Mugglestone, Moira A.; Renshaw, Eric
1996
The linear spatial-temporal interaction process and its relation to $$1/\omega$$-noise. Zbl 0800.62573
Renshaw, Eric
1994
Birth, death and migration processes. Zbl 0232.60073
Renshaw, E.
1972
The evolution of a batch-immigration death process subject to counts. Zbl 1145.60311
Gillespie, Colin S.; Renshaw, Eric
2005
Can Markov chain Monte Carlo be usefully applied to stochastic processes with hidden birth times? Zbl 0953.60061
Renshaw, Eric; Gibson, Gavin J.
1998
Chaos in biometry. Zbl 0801.92001
Renshaw, Eric
1994
Disentangling mark/point interaction in marked-point processes. Zbl 1161.62409
Renshaw, Eric; Mateu, Jorge; Saura, Fuensanta
2007
The evolution and measurement of a population of pairs. Zbl 0841.60057
Jakeman, Eric; Phayre, Sean; Renshaw, Eric
1995
The evolution of a single-paired immigration death process. Zbl 1161.60029
Gillespie, Colin S.; Renshaw, Eric
2008
Inference for immigration-death processes with single and paired immigrants. Zbl 0976.62082
Gibson, Gavin J.; Renshaw, Eric
2001
Non-linear waves on the Turing ring. Zbl 0801.60070
Renshaw, Eric
1994
The discrete Uhlenbeck-Ornstein process. Zbl 0633.60087
Renshaw, Eric
1987
A note on the recurrence of a correlated random walk. Zbl 0535.60060
Henderson, Robin; Renshaw, Eric; Ford, David
1983
Stochastic population processes. Analysis, approximation, simulations. Reprint of the 2011 hardback edition. Zbl 1308.92001
Renshaw, Eric
2015
Analysis of forest thinning strategies through the development of space-time growth-interaction simulation models. Zbl 1411.62344
Renshaw, Eric; Comas, Carlos; Mateu, Jorge
2009
Metropolis-Hastings from a stochastic population dynamics perspective. Zbl 1429.65029
Renshaw, Eric
2004
Two-dimensional spectral analysis for marked point processes. Zbl 1441.62473
Renshaw, Eric
2002
The development of space-time interaction processes with given spectral structure. Zbl 0960.60094
Renshaw, Eric; Phayre, Sean; Jakeman, Eric
2000
The Markov oscillation problem in discrete time. Zbl 0952.60086
Dai, Yonglong; Renshaw, Eric
2000
A correlated random walk model for two-dimensional diffusion. Zbl 0544.60065
Henderson, Robin; Renshaw, Eric; Ford, David
1984
Stepping stone models for population growth. Zbl 0289.60049
Renshaw, E.
1974
Stochastic population processes. Analysis, approximation, simulations. Reprint of the 2011 hardback edition. Zbl 1308.92001
Renshaw, Eric
2015
Stochastic population processes. Analysis, approximation, simulations. Zbl 1303.92001
Renshaw, Eric
2011
Analysis of forest thinning strategies through the development of space-time growth-interaction simulation models. Zbl 1411.62344
Renshaw, Eric; Comas, Carlos; Mateu, Jorge
2009
The evolution of a single-paired immigration death process. Zbl 1161.60029
Gillespie, Colin S.; Renshaw, Eric
2008
An improved saddlepoint approximation. Zbl 1119.62012
Gillespie, Colin S.; Renshaw, Eric
2007
Disentangling mark/point interaction in marked-point processes. Zbl 1161.62409
Renshaw, Eric; Mateu, Jorge; Saura, Fuensanta
2007
The analysis of marked point patterns evolving through space and time. Zbl 1157.62483
Särkkä, Aila; Renshaw, Eric
2006
The evolution of a batch-immigration death process subject to counts. Zbl 1145.60311
Gillespie, Colin S.; Renshaw, Eric
2005
Markovian bulk-arriving queues with state-dependent control at idle time. Zbl 1046.60080
Chen, Anyue; Renshaw, Eric
2004
Metropolis-Hastings from a stochastic population dynamics perspective. Zbl 1429.65029
Renshaw, Eric
2004
Asymptotic behaviour of the stochastic Lotka-Volterra model. Zbl 1048.92027
Mao, Xuerong; Sabanis, Sotirios; Renshaw, Eric
2003
Environmental Brownian noise suppresses explosions in population dynamics. Zbl 1058.60046
Mao, Xuerong; Marion, Glenn; Renshaw, Eric
2002
Convergence of the Euler scheme for a class of stochastic differential equations. Zbl 0987.60068
Marion, Glenn; Mao, Xuerong; Renshaw, Eric
2002
Two-dimensional spectral analysis for marked point processes. Zbl 1441.62473
Renshaw, Eric
2002
Gibbs point processes for studying the development of spatial-temporal stochastic processes. Zbl 1080.62066
Renshaw, Eric; Särkkä, Aila
2001
Inference for immigration-death processes with single and paired immigrants. Zbl 0976.62082
Gibson, Gavin J.; Renshaw, Eric
2001
Stochastic modelling of environmental variation for biological populations. Zbl 0984.92039
Marion, Glenn; Renshaw, Eric
2000
Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration. Zbl 1045.60088
Chen, Anyue; Renshaw, Eric
2000
Applying the saddlepoint approximation to bivariate stochastic processes. Zbl 0978.92022
Renshaw, Eric
2000
The development of space-time interaction processes with given spectral structure. Zbl 0960.60094
Renshaw, Eric; Phayre, Sean; Jakeman, Eric
2000
The Markov oscillation problem in discrete time. Zbl 0952.60086
Dai, Yonglong; Renshaw, Eric
2000
Estimating parameters in stochastic compartmental models using Markov chain methods. Zbl 0916.92024
Gibson, Gavin J.; Renshaw, Eric
1998
Saddlepoint approximations for stochastic processes with truncated cumulant generating functions. Zbl 0906.92026
Renshaw, Eric
1998
Stochastic effects in a model of nematode infection in ruminants. Zbl 0906.92020
Marion, Glenn; Renshaw, Eric; Gibson, Gavin
1998
Can Markov chain Monte Carlo be usefully applied to stochastic processes with hidden birth times? Zbl 0953.60061
Renshaw, Eric; Gibson, Gavin J.
1998
The M/M/1 queue with mass exodus and mass arrivals when empty. Zbl 0876.60079
Chen, Anyue; Renshaw, Eric
1997
Birth-death processes with mass annihilation and state-dependent immigration. Zbl 0880.60088
Renshaw, Eric; Chen, Anyue
1997
A practical guide to the spectral analysis of spatial point processes. Zbl 0900.62493
Mugglestone, Moira A.; Renshaw, Eric
1996
Markov branching processes regulated by emigration and large immigration. Zbl 0836.60078
Chen, Anyue; Renshaw, Eric
1995
The evolution and measurement of a population of pairs. Zbl 0841.60057
Jakeman, Eric; Phayre, Sean; Renshaw, Eric
1995
The general correlated random walk. Zbl 0814.60065
Chen, Anyue; Renshaw, Eric
1994
The linear spatial-temporal interaction process and its relation to $$1/\omega$$-noise. Zbl 0800.62573
Renshaw, Eric
1994
Chaos in biometry. Zbl 0801.92001
Renshaw, Eric
1994
Non-linear waves on the Turing ring. Zbl 0801.60070
Renshaw, Eric
1994
Modelling biological populations in space and time. Zbl 0779.92016
Renshaw, Eric
1993
Existence and uniqueness criteria for conservative uni-instantaneous denumerable Markov processes. Zbl 0791.60063
Chen, Anyue; Renshaw, Eric
1993
Recurrence of Markov branching processes with immigration. Zbl 0769.60077
Chen, Anyue; Renshaw, Eric
1993
The Gillis-Domb-Fisher correlated random walk. Zbl 0768.60058
Chen, Anyue; Renshaw, Eric
1992
Modelling biological populations in space and time. Zbl 0754.92018
Renshaw, Eric
1991
Markov branching processes with instantaneous immigration. Zbl 0695.60080
Chen, A. Y.; Renshaw, Eric
1990
The discrete Uhlenbeck-Ornstein process. Zbl 0633.60087
Renshaw, Eric
1987
A survey of stepping-stone models in population dynamics. Zbl 0607.60078
Renshaw, Eric
1986
A correlated random walk model for two-dimensional diffusion. Zbl 0544.60065
Henderson, Robin; Renshaw, Eric; Ford, David
1984
A note on the recurrence of a correlated random walk. Zbl 0535.60060
Henderson, Robin; Renshaw, Eric; Ford, David
1983
The correlated random walk. Zbl 0479.60071
Renshaw, Eric; Henderson, Robin
1981
Stepping stone models for population growth. Zbl 0289.60049
Renshaw, E.
1974
Interconnected population processes. Zbl 0263.60039
Renshaw, E.
1973
Birth, death and migration processes. Zbl 0232.60073
Renshaw, E.
1972
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#### Cited by 1,087 Authors

 49 Jiang, Daqing 36 Wang, Ke 31 Mao, Xuerong 22 Wu, Fuke 19 Chen, Anyue 18 Liu, Meng 17 Renshaw, Eric 15 Liu, Qun 15 Lv, Jingliang 14 Hu, Shigeng 13 Li, Junping 13 Zou, Xiaoling 12 Shi, Ningzhong 11 Ji, Chunyan 9 Hayat, Tasawar 9 Kumar, B. Krishna 9 Mateu, Jorge 9 Matis, James H. 9 Parthasarathy, Panamalai Ramarao 9 Wang, Weiming 9 Zhang, Qimin 8 Li, Xiaoyue 7 Greenhalgh, David 7 Hu, Yangzi 7 Kiffe, Thomas R. 7 Liu, Lei 7 Lu, Chun 7 O’Regan, Donal 7 Zhang, Hanjun 6 Crawford, Forrest W. 6 Lenin, R. B. 6 Marion, Glenn 6 Nguyen Huu Du 6 Nobile, Amelia G. 6 Pollett, Philip K. 6 Suchard, Marc A. 6 Sudhesh, Ramupillai 6 Vijayakumar, Ambat 6 Zhang, Xinhong 6 Zu, Li 5 Allaart, Pieter C. 5 Al-saedi, Ahmed Eid Salem 5 Banerjee, Malay 5 Chen, Qingmei 5 Comas, Carlos 5 Gibson, Gavin J. 5 Giorno, Virginia 5 Meng, Xinzhu 5 Nåsell, Ingemar 5 Yin, George Gang 5 Yuan, Chenggui 5 Yuan, Sanling 5 Zheng, Qi 4 Ahmad, Bashir 4 Cai, Yongli 4 Castillo-Chavez, Carlos 4 Chae, Kyung Chul 4 Gao, Shujing 4 Guo, Jong-Shenq 4 Huang, Hao 4 Kypraios, Theodore 4 Li, Longsuo 4 McKinley, Trevelyan J. 4 Miao, Xiufeng 4 Ross, Joshua V. 4 Särkkä, Aila 4 Shen, Yi 4 Streftaris, George 4 Teng, Zhi-dong 4 Thilaka, B. 4 Wang, Lianglong 4 Wei, Fengying 4 Wu, Zheng 4 Yang, Qingshan 4 Yang, Won Seok 4 Yin, Gang George 4 Zeifman, Alexander Izrailevich 4 Zhang, Yan 4 Zhu, Quanxin 3 Allen, Edward James 3 Allen, Linda J. S. 3 Bandyopadhyay, Malay 3 Bretó, Carles 3 Cao, Junfei 3 Cook, Alex R. 3 Di Crescenzo, Antonio 3 Ding, Xiaohua 3 Ducrot, Arnaud 3 El Fatini, Mohamed 3 Fan, Dejun 3 Gao, Hongjun 3 Gillespie, Colin S. 3 Gustafsson, Leif 3 Han, Qixing 3 Higham, Desmond J. 3 Hu, Guixin 3 Huang, Zaitang 3 Kang, Yun 3 Korolev, Viktor Yur’evich 3 Li, Dongxi ...and 987 more Authors
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#### Cited in 166 Serials

 43 Journal of Mathematical Analysis and Applications 40 Mathematical Biosciences 38 Applied Mathematics and Computation 24 Journal of Theoretical Biology 23 Abstract and Applied Analysis 22 Theoretical Population Biology 19 Journal of Computational and Applied Mathematics 18 Journal of Mathematical Biology 17 Advances in Difference Equations 16 Journal of Applied Probability 16 International Journal of Biomathematics 14 Bulletin of Mathematical Biology 14 Computational Statistics and Data Analysis 13 Journal of the Franklin Institute 13 Physica A 13 Discrete and Continuous Dynamical Systems. Series B 12 Communications in Nonlinear Science and Numerical Simulation 12 Stochastic Models 12 Journal of Applied Mathematics and Computing 11 Statistics & Probability Letters 11 Applied Mathematical Modelling 10 Discrete Dynamics in Nature and Society 9 Journal of Differential Equations 9 Stochastic Analysis and Applications 9 Stochastic Processes and their Applications 8 Chaos, Solitons and Fractals 8 Mathematical and Computer Modelling 8 Communications in Statistics. Theory and Methods 8 Stochastics and Dynamics 7 Mathematical Problems in Engineering 7 Methodology and Computing in Applied Probability 6 Advances in Applied Probability 6 Journal of Statistical Physics 6 Systems & Control Letters 6 Journal of Applied Mathematics 6 Journal of Applied Analysis and Computation 5 Queueing Systems 4 Biometrics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Acta Applicandae Mathematicae 4 RAIRO. Operations Research 4 Nonlinear Analysis. Hybrid Systems 3 Computers & Mathematics with Applications 3 International Journal of Control 3 Mathematical Methods in the Applied Sciences 3 Statistical Science 3 Journal of Theoretical Probability 3 Applied Mathematics Letters 3 European Journal of Operational Research 3 International Journal of Computer Mathematics 3 Nonlinear Dynamics 3 Journal of Inequalities and Applications 3 Journal of Applied Statistics 3 Acta Mathematica Sinica. English Series 3 Journal of Biological Systems 3 Communications on Pure and Applied Analysis 3 Mathematical Biosciences and Engineering 3 Journal of Biological Dynamics 3 The Annals of Applied Statistics 3 Science China. Mathematics 2 Applicable Analysis 2 International Journal of Theoretical Physics 2 Scandinavian Journal of Statistics 2 Automatica 2 Journal of Statistical Planning and Inference 2 Mathematics and Computers in Simulation 2 Ricerche di Matematica 2 Theoretical Computer Science 2 Physica D 2 Science in China. Series A 2 Communications in Statistics. Simulation and Computation 2 Journal of Dynamics and Differential Equations 2 Top 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Differential Equations and Dynamical Systems 2 Chaos 2 Stochastic Environmental Research and Risk Assessment 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Analysis. Real World Applications 2 Nonlinear Analysis. Modelling and Control 2 Journal of Systems Science and Complexity 2 Journal of Statistical Mechanics: Theory and Experiment 2 Computational & Mathematical Methods in Medicine 2 Mathematical Modelling of Natural Phenomena 2 Journal of Nonlinear Science and Applications 2 Statistics and Computing 2 Bayesian Analysis 1 Computer Physics Communications 1 International Journal of Mathematical Education in Science and Technology 1 Metrika 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theory of Probability and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of the American Statistical Association 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik ...and 66 more Serials
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#### Cited in 29 Fields

 472 Biology and other natural sciences (92-XX) 453 Probability theory and stochastic processes (60-XX) 222 Ordinary differential equations (34-XX) 87 Statistics (62-XX) 63 Systems theory; control (93-XX) 52 Numerical analysis (65-XX) 50 Dynamical systems and ergodic theory (37-XX) 40 Operations research, mathematical programming (90-XX) 26 Partial differential equations (35-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Computer science (68-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Difference and functional equations (39-XX) 5 Combinatorics (05-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)