Edit Profile (opens in new tab) Pakes, Anthony G. Compute Distance To: Compute Author ID: pakes.anthony-g Published as: Pakes, Anthony G.; Pakes, A. G.; Pakes, Anthony more...less Documents Indexed: 154 Publications since 1969, including 1 Book 1 Further Contribution Co-Authors: 54 Co-Authors with 42 Joint Publications 1,926 Co-Co-Authors all top 5 Co-Authors 108 single-authored 3 Li, Yun 2 Chen, Anyue 2 Hashorva, Enkelejd 2 Kaplan, Norman L. 2 Li, Junping 2 Navarro, Jorge 2 Stefanov, Valeri T. 2 Trajstman, Albert Charles 1 Ahsanullah, Mohammad 1 Baddeley, Adrian John 1 Balakrishnan, Narayanaswamy 1 Barbour, Andrew David 1 Bayramoğlu, Ismihan G. 1 Berg, Christian 1 Brockwell, Peter J. 1 Cheng, Dongya 1 Cheng, Lan 1 Cohn, Harry 1 de La Granville, Oliver 1 Dekking, Frederik Michel 1 del Aguila, Yolanda 1 Doukhan, Paul 1 Fakhry, Mohammed E. 1 Fosam, E. B. 1 Geluk, Jaap L. 1 Griffiths, Robert C. 1 Gu, Anhui 1 Heyde, Christopher Charles 1 Ho, Kate 1 Hung, Wenliang 1 Ishii, Joy 1 Keady, Grant 1 Khattree, Ravindra 1 Klesov, Oleg I. 1 Kulkarni, Manisha V. 1 Li, Jia 1 Li, Liuyan 1 Li, Yangrong 1 Mahmoud, Mahmoud Riad 1 Maller, Ross Arthur 1 Mitov, Kosto V. 1 Moller, Jesper 1 Ni, Fenglian 1 Parthasarathy, Panamalai Ramarao 1 Phatarfod, Ravindra M. 1 Pollett, Philip K. 1 Ruiz, José-María 1 Sapatinas, Theofanis 1 Speed, Terence Paul 1 Steinebach, Josef G. 1 Stepanov, Aleksei Vasil’evich 1 Steutel, Fred Willem 1 Tang, Qihe 1 Tavaré, Simon 1 Tricot, Claude jun. 1 Wang, Yuebao 1 Yanev, George P. all top 5 Serials 21 Journal of Applied Probability 17 Advances in Applied Probability 11 Stochastic Processes and their Applications 8 Mathematical Biosciences 7 Statistics & Probability Letters 7 Australian & New Zealand Journal of Statistics 7 Journal of the Australian Mathematical Society 6 Journal of Mathematical Analysis and Applications 6 The Australian Journal of Statistics 4 Journal of the Australian Mathematical Society. Series A 4 Extremes 3 Journal of Mathematical Biology 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annals of the Institute of Statistical Mathematics 3 Journal of Theoretical Probability 2 Journal of Statistical Planning and Inference 2 Statistica Neerlandica 2 Insurance Mathematics & Economics 2 Communications in Statistics. Theory and Methods 2 Statistical Papers 2 Journal of Applied Statistical Science 1 Bulletin of the Australian Mathematical Society 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical and Physical Sciences 1 Metrika 1 Periodica Mathematica Hungarica 1 The Australian Mathematical Society Gazette 1 Econometrica 1 Operations Research 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Sankhyā. Series A. Methods and Techniques 1 SCIMA. Journal of Management Science and Applied Cybernetics 1 Probability and Mathematical Statistics 1 Communications in Statistics. Stochastic Models 1 The Annals of Applied Probability 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Bernoulli 1 Applied Stochastic Models in Business and Industry 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Analysis and Applications (Singapore) 1 Journal of the Korean Statistical Society 1 Cambridge Studies in Mathematical Biology 1 Annals of Mathematical Statistics 1 Journal of Probability and Statistics 1 ISRN Probability and Statistics 1 Journal of Statistical Distributions and Applications all top 5 Fields 136 Probability theory and stochastic processes (60-XX) 31 Statistics (62-XX) 15 Biology and other natural sciences (92-XX) 5 Integral transforms, operational calculus (44-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 137 Publications have been cited 1,482 times in 896 Documents Cited by ▼ Year ▼ Convolution equivalence and infinite divisibility. Zbl 1051.60019Pakes, Anthony G. 90 2004 Some conditions for ergodicity and recurrence of Markov chains. Zbl 0183.46902Pakes, A. G. 65 1969 On the tails of waiting-time distributions. Zbl 0314.60072Pakes, A. G. 61 1975 On the number of records near the maximum. Zbl 0908.60040Pakes, Anthony G.; Steutel, Fred W. 58 1997 Asymptotics of random contractions. Zbl 1231.91196Hashorva, Enkelejd; Pakes, Anthony G.; Tang, Qihe 44 2010 Limit laws for the number of near maxima via the Poisson approximation. Zbl 0935.60014Pakes, Anthony G.; Li, Yun 38 1998 The number and sum of near-maxima for thin-tailed populations. Zbl 0980.60066Pakes, Anthony G. 32 2000 Some limit theorems for the total progeny of a branching process. Zbl 0218.60075Pakes, A. G. 32 1971 Convolution equivalence and infinite divisibility: corrections and corollaries. Zbl 1132.60015Pakes, Anthony G. 28 2007 On the number and sum of near-record observations. Zbl 1080.60053Balakrishnan, N.; Pakes, A. G.; Stepanov, A. 25 2005 Tail asymptotics under beta random scaling. Zbl 1208.60012Hashorva, Enkelejd; Pakes, Anthony G. 25 2010 Branching processes with immigration. Zbl 0216.21502Pakes, A. G. 24 1971 Explicit distributional results in pattern formation. Zbl 0893.60005Stefanov, V. T.; Pakes, A. G. 23 1997 Characterization by invariance under length-biasing and random scaling. Zbl 0892.60022Pakes, Anthony G. 22 1997 Limit theorems for the population size of a birth and death process allowing catastrophes. Zbl 0642.92012Pakes, Anthony G. 22 1987 A branching process with a state dependent immigration component. Zbl 0224.60040Pakes, A. G. 22 1971 Length biasing and laws equivalent to the log-normal. Zbl 0852.60013Pakes, Anthony G. 21 1996 On the number of near-maximum insurance claims. Zbl 1025.62039Li, Y.; Pakes, Anthony G. 21 2001 Distributional characterizations through scaling relations. Zbl 1117.62015Pakes, Anthony G.; Navarro, Jorge 20 2007 Characterization of discrete laws via mixed sums and Markov branching processes. Zbl 0817.60010Pakes, Anthony G. 20 1995 Mixture representations for symmetric generalized Linnik laws. Zbl 1246.60024Pakes, Anthony G. 20 1998 Length-biasing, characterizations of laws and the moment problem. Zbl 0759.62005Pakes, Anthony G.; Khattree, Ravindra 19 1992 Remarks on converse Carleman and Krein criteria for the classical moment problem. Zbl 0992.44003Pakes, Anthony G. 19 2001 Criteria for the unique determination of probability distributions by moments. Zbl 0997.60001Pakes, Anthony G.; Hung, Wen-Liang; Wu, Jong-Wuu 18 2001 An infinite-alleles version of the simple branching process. Zbl 0653.92009Griffiths, R. C.; Pakes, Anthony G. 18 1988 Further results on the critical Galton-Watson process with immigration. Zbl 0235.60078Pakes, A. G. 17 1972 On the critical Galton-Watson process with immigration. Zbl 0249.60045Pakes, A. G. 17 1971 Characterizations, length-biasing, and infinite divisibility. Zbl 0847.60010Pakes, Anthony G.; Sapatinas, T.; Fosam, E. B. 16 1996 Quasi-stationary laws for Markov processes: Examples of an always proximate absorbing state. Zbl 0819.60065Pakes, Anthony G. 16 1995 Characterizations using weighted distributions. Zbl 1021.62004Pakes, Anthony G.; Navarro, Jorge; Ruiz, José M.; del Aguila, Yolanda 16 2003 On the subcritical Bellman-Harris process with immigration. Zbl 0303.60078Pakes, A. G.; Kaplan, Norman 16 1974 Limit theorems for numbers of near records. Zbl 1164.62017Pakes, Anthony G. 15 2007 Biological applications of branching processes. Zbl 1019.92022Pakes, Anthony G. 14 2003 Structure of Stieltjes classes of moment-equivalent probability laws. Zbl 1120.60007Pakes, Anthony G. 14 2007 Non-parametric estimation in the Galton-Watson process. Zbl 0316.62033Pakes, A. G. 14 1975 A characterization of gamma mixtures of stable laws motivated by limit theorems. Zbl 0767.62013Pakes, A. G. 13 1992 Limit theorems for an agedependent branching process with immigration. Zbl 0248.92004Pakes, A. G. 13 1972 Numbers of observations near order statistics. Zbl 1337.62108Pakes, Anthony G. 13 2009 Extreme order statistics on Galton-Watson trees. Zbl 1092.60505Pakes, Anthony G. 12 1998 Killing and resurrection of Markov processes. Zbl 0880.60066Pakes, Anthony G. 12 1997 Some properties of the exponential distribution class with applications to risk theory. Zbl 1296.60035Cheng, Dongya; Ni, Fenglian; Pakes, Anthony G.; Wang, Yuebao 12 2012 The Markov branching-castastrophe process. Zbl 0633.92014Pakes, Anthony G. 12 1986 Remarks on the Luria-Delbrück distribution. Zbl 0801.60005Pakes, Anthony G. 11 1993 Criteria for convergence of the number of near maxima for long tails. Zbl 1091.62043Pakes, Anthony G. 11 2004 Asymptotic results for the extinction time of Markov branching processes allowing emigration. I: Randon walk decrements. Zbl 0671.60078Pakes, Anthony G. 11 1989 Asymptotic properties of the Markov branching process with immigration. Zbl 1247.60125Li, Junping; Chen, Anyue; Pakes, Anthony G. 11 2012 Limit theorems for the simple branching process allowing immigration. I: The case of finite offspring mean. Zbl 0401.60077Pakes, Anthony G. 11 1979 Second order subexponential distributions. Zbl 0747.60016Geluk, J. L.; Pakes, A. G. 10 1991 Revisiting conditional limit theorems for the mortal simple branching process. Zbl 0956.60098Pakes, Anthony G. 10 1999 Properties of residuals for spatial point processes. Zbl 1169.62081Baddeley, A.; Møller, J.; Pakes, A. G. 10 2008 Critical Markov branching process limit theorems allowing infinite variance. Zbl 1197.60077Pakes, Anthony G. 10 2010 Supercritical age-dependent branching processes with immigration. Zbl 0296.60055Kaplan, Norman; Pakes, A. G. 10 1974 Limit theorems for the integrals of some branching processes. Zbl 0299.60067Pakes, A. G. 10 1975 On Markov branching processes with immigration. Zbl 0336.60075Pakes, A. G. 10 1975 Lambert’s \(W\), infinite divisibility and Poisson mixtures. Zbl 1223.60016Pakes, Anthony G. 10 2011 Mathematical ecology of plant species competition: a class of deterministic models for binary mixtures of plant genotypes. Zbl 0726.92027Pakes, Anthony G.; Maller, Ross A. 9 1990 On characterizations through mixed sums. Zbl 0759.62006Pakes, Anthony G. 9 1992 A hitting time for Lévy processes, with application to dams and branching processes. Zbl 0879.60074Pakes, Anthony G. 9 1996 Moment inequalities and their application. Zbl 1419.91245Pakes, A.; Porter, J.; Ho, Kate; Ishii, Joy 9 2015 A stochastic model for a replicating population subjected to mass emigration due to population pressure. Zbl 0399.92019Pakes, A. G.; Trajstman, A. C.; Brockwell, P. J. 9 1979 Comments on the age distribution of Markov processes. Zbl 0476.60067Pakes, Anthony G.; Tavare, Simon 8 1981 The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction. Zbl 0721.60093Pakes, Anthony G. 8 1988 The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction. Zbl 0726.60084Pakes, Anthony G.; Pollett, P. K. 8 1989 On the number of near-records after the maximum observation in a continuous sample. Zbl 0903.60044Li, Yun; Pakes, Anthony G. 8 1998 Some limit theorems for continuous-state branching processes. Zbl 0638.60089Pakes, Anthony G. 8 1988 Some properties of a random linear difference equation. Zbl 0535.60076Pakes, Anthony G. 7 1983 Explosive Markov branching processes: Entrance laws and limiting behaviour. Zbl 0796.60089Pakes, Anthony G. 7 1993 On family trees and subtrees of simple branching processes. Zbl 0731.60076Pakes, Anthony G.; Dekking, F. M. 7 1991 Extinction and explosion of nonlinear Markov branching processes. Zbl 1126.60069Pakes, Anthony G. 7 2007 An infinite alleles version of the Markov branching process. Zbl 0664.92012Pakes, Anthony G. 7 1989 Some results for non-supercritical Galton-Watson processes with immigration. Zbl 0305.60041Pakes, A. G. 7 1975 On the age distribution of a Markov chain. Zbl 0374.60087Pakes, Anthony G. 7 1978 Some properties of continuous-state branching processes, with applications to Bartoszyński’s virus model. Zbl 0562.92015Pakes, Anthony G.; Trajstman, A. C. 7 1985 The Galton-Watson process with killing. Zbl 0541.60087Pakes, Anthony G. 6 1984 Absorbing Markov and branching processes with instantaneous resurrection. Zbl 0796.60086Pakes, Anthony G. 6 1993 Some properties of a branching process with group immigration and emigration. Zbl 0631.60083Pakes, Anthony G. 6 1986 Some new limit theorems for the critical branching process allowing immigration. Zbl 0329.60049Pakes, A. G. 6 1976 Characterization of laws by balancing weighting against a binary operation. Zbl 0856.62016Pakes, Anthony G. 5 1996 A limit theorem for the maxima of the para-critical simple branching process. Zbl 0917.60085Pakes, Anthony G. 5 1998 On generalized stable and related laws. Zbl 1349.60020Pakes, Anthony G. 5 2014 On relative stability and weighted laws of large numbers. Zbl 1368.60010Adler, André; Pakes, Anthony G. 5 2017 On the busy period of the modified GI/G/1 queue. Zbl 0265.60091Pakes, A. G. 5 1973 The Markov branching process with density-independent catastrophes. II: The subcritical and critical cases. Zbl 0735.60090Pakes, Anthony G. 5 1989 The Markov branching process with density-independent catastrophes. I. Behaviour of extinction probabilities. Zbl 0641.60089Pakes, Anthony G. 5 1988 A GI/M/1 queue with a modified service mechanism. Zbl 0311.60054Pakes, A. G. 5 1972 Optimal estimation of the criticality parameter of a supercritical branching process having random environments. Zbl 0483.60082Pakes, Anthony G.; Heyde, C. C. 4 1982 Explicit distributional results in pattern formation. II. Zbl 0919.60037Stefanov, V. T.; Pakes, A. G. 4 1999 A characterization of continuous distributions via regression on pairs of record values. Zbl 1134.62308Bairamov, I.; Ahsanullah, M.; Pakes, Anthony G. 4 2005 Extremes of geometric variables with applications to branching processes. Zbl 1116.60338Mitov, Kosto V.; Pakes, Anthony G.; Yanev, George P. 4 2003 Remarks on the maxima of a martingale sequence with application to the simple critical branching process. Zbl 0636.60047Pakes, Anthony G. 4 1987 A limit theorem for the integral of a critical age-dependent branching process. Zbl 0228.60034Pakes, A. G. 4 1972 On a theorem of Quine and Seneta for the Galton-Watson process with immigration. Zbl 0232.60072Pakes, A. G. 4 1971 Some limit theorems for Markov chains with applications to branching processes. Zbl 0341.60039Pakes, A. G. 4 1976 Some limit theorems for Jirina Processes. Zbl 0362.60085Pakes, A. G. 4 1979 Limit theorems for the simple branching process allowing immigration, II. The case of infinite offspring mean. Zbl 0401.60078Barbour, A. D.; Pakes, Anthony G. 4 1979 On the asymptotic behaviour of the extinction time of the simple branching process. Zbl 0679.60083Pakes, Anthony G. 4 1989 The Lambert \(W\) function, Nuttall’s integral, and the Lambert law. Zbl 1391.60037Pakes, Anthony G. 3 2018 The limit behaviour of a Markov chain related to the simple branching process allowing immigration. Zbl 0464.60071Pakes, Anthony G. 3 1981 The Markov branching process with density-independent catastrophes. III: The supercritical case. Zbl 0768.60073Pakes, Anthony G. 3 1990 The limit behavior of dual Markov branching processes. Zbl 1137.60039Li, Yangrong; Pakes, Anthony G.; Li, Jia; Gu, Anhui 3 2008 Self-decomposable laws from continuous branching processes. Zbl 1461.60015Pakes, Anthony G. 1 2020 Large deviation rates for Markov branching processes. Zbl 1434.60244Li, Junping; Cheng, Lan; Pakes, Anthony G.; Chen, Anyue; Li, Liuyan 1 2020 The Lambert \(W\) function, Nuttall’s integral, and the Lambert law. Zbl 1391.60037Pakes, Anthony G. 3 2018 Weak and one-sided strong laws for random variables with infinite mean. Zbl 1415.60025Adler, André; Pakes, Anthony G. 2 2018 On relative stability and weighted laws of large numbers. Zbl 1368.60010Adler, André; Pakes, Anthony G. 5 2017 Convergence rates and limit theorems for the dual Markov branching process. Zbl 1431.60101Pakes, Anthony G. 2 2017 Moment inequalities and their application. Zbl 1419.91245Pakes, A.; Porter, J.; Ho, Kate; Ishii, Joy 9 2015 Lambert’s \(W\) meets Kermack-McKendrick epidemics. Zbl 1343.92510Pakes, Anthony G. 2 2015 On generalized stable and related laws. Zbl 1349.60020Pakes, Anthony G. 5 2014 A note on the gaps in the support of discretely infinitely divisible laws. Zbl 1302.60036Pakes, Anthony G.; Satheesh, S. 1 2013 Limit laws for UGROW random graphs. Zbl 1284.05245Pakes, Anthony G. 1 2013 Limit theorems for record counts and times in the \(F ^{\alpha }\)-scheme. Zbl 1282.60052Doukhan, Paul; Klesov, Oleg I.; Pakes, Anthony G.; Steinebach, Josef G. 1 2013 Some properties of the exponential distribution class with applications to risk theory. Zbl 1296.60035Cheng, Dongya; Ni, Fenglian; Pakes, Anthony G.; Wang, Yuebao 12 2012 Asymptotic properties of the Markov branching process with immigration. Zbl 1247.60125Li, Junping; Chen, Anyue; Pakes, Anthony G. 11 2012 Lambert’s \(W\), infinite divisibility and Poisson mixtures. Zbl 1223.60016Pakes, Anthony G. 10 2011 Asymptotics of random contractions. Zbl 1231.91196Hashorva, Enkelejd; Pakes, Anthony G.; Tang, Qihe 44 2010 Tail asymptotics under beta random scaling. Zbl 1208.60012Hashorva, Enkelejd; Pakes, Anthony G. 25 2010 Critical Markov branching process limit theorems allowing infinite variance. Zbl 1197.60077Pakes, Anthony G. 10 2010 Numbers of observations near order statistics. Zbl 1337.62108Pakes, Anthony G. 13 2009 Properties of residuals for spatial point processes. Zbl 1169.62081Baddeley, A.; Møller, J.; Pakes, A. G. 10 2008 The limit behavior of dual Markov branching processes. Zbl 1137.60039Li, Yangrong; Pakes, Anthony G.; Li, Jia; Gu, Anhui 3 2008 Convolution equivalence and infinite divisibility: corrections and corollaries. Zbl 1132.60015Pakes, Anthony G. 28 2007 Distributional characterizations through scaling relations. Zbl 1117.62015Pakes, Anthony G.; Navarro, Jorge 20 2007 Limit theorems for numbers of near records. Zbl 1164.62017Pakes, Anthony G. 15 2007 Structure of Stieltjes classes of moment-equivalent probability laws. Zbl 1120.60007Pakes, Anthony G. 14 2007 Extinction and explosion of nonlinear Markov branching processes. Zbl 1126.60069Pakes, Anthony G. 7 2007 On the number and sum of near-record observations. Zbl 1080.60053Balakrishnan, N.; Pakes, A. G.; Stepanov, A. 25 2005 A characterization of continuous distributions via regression on pairs of record values. Zbl 1134.62308Bairamov, I.; Ahsanullah, M.; Pakes, Anthony G. 4 2005 Convolution equivalence and infinite divisibility. Zbl 1051.60019Pakes, Anthony G. 90 2004 Criteria for convergence of the number of near maxima for long tails. Zbl 1091.62043Pakes, Anthony G. 11 2004 Convergence and divergence of random series. Zbl 1082.60026Pakes, Anthony G. 3 2004 Product integration and characterization of probability laws. Zbl 1113.60019Pakes, Anthony G. 2 2004 Correction to a paper by A. G. Pakes. Zbl 1059.44004Berg, Christian 2 2004 Characterization of probability laws via length-biasing and stationary-excess operations. Zbl 1087.62021Pakes, Anthony G. 1 2004 Characterizations using weighted distributions. Zbl 1021.62004Pakes, Anthony G.; Navarro, Jorge; Ruiz, José M.; del Aguila, Yolanda 16 2003 Biological applications of branching processes. Zbl 1019.92022Pakes, Anthony G. 14 2003 Extremes of geometric variables with applications to branching processes. Zbl 1116.60338Mitov, Kosto V.; Pakes, Anthony G.; Yanev, George P. 4 2003 On the number of near-maximum insurance claims. Zbl 1025.62039Li, Y.; Pakes, Anthony G. 21 2001 Remarks on converse Carleman and Krein criteria for the classical moment problem. Zbl 0992.44003Pakes, Anthony G. 19 2001 Criteria for the unique determination of probability distributions by moments. Zbl 0997.60001Pakes, Anthony G.; Hung, Wen-Liang; Wu, Jong-Wuu 18 2001 The number and sum of near-maxima for thin-tailed populations. Zbl 0980.60066Pakes, Anthony G. 32 2000 Revisiting conditional limit theorems for the mortal simple branching process. Zbl 0956.60098Pakes, Anthony G. 10 1999 Explicit distributional results in pattern formation. II. Zbl 0919.60037Stefanov, V. T.; Pakes, A. G. 4 1999 On the convergence of moments of geometric and harmonic means. Zbl 0930.60021Pakes, A. G. 2 1999 Limit laws for the number of near maxima via the Poisson approximation. Zbl 0935.60014Pakes, Anthony G.; Li, Yun 38 1998 Mixture representations for symmetric generalized Linnik laws. Zbl 1246.60024Pakes, Anthony G. 20 1998 Extreme order statistics on Galton-Watson trees. Zbl 1092.60505Pakes, Anthony G. 12 1998 On the number of near-records after the maximum observation in a continuous sample. Zbl 0903.60044Li, Yun; Pakes, Anthony G. 8 1998 A limit theorem for the maxima of the para-critical simple branching process. Zbl 0917.60085Pakes, Anthony G. 5 1998 On the number of records near the maximum. Zbl 0908.60040Pakes, Anthony G.; Steutel, Fred W. 58 1997 Explicit distributional results in pattern formation. Zbl 0893.60005Stefanov, V. T.; Pakes, A. G. 23 1997 Characterization by invariance under length-biasing and random scaling. Zbl 0892.60022Pakes, Anthony G. 22 1997 Killing and resurrection of Markov processes. Zbl 0880.60066Pakes, Anthony G. 12 1997 Length biasing and laws equivalent to the log-normal. Zbl 0852.60013Pakes, Anthony G. 21 1996 Characterizations, length-biasing, and infinite divisibility. Zbl 0847.60010Pakes, Anthony G.; Sapatinas, T.; Fosam, E. B. 16 1996 A hitting time for Lévy processes, with application to dams and branching processes. Zbl 0879.60074Pakes, Anthony G. 9 1996 Characterization of laws by balancing weighting against a binary operation. Zbl 0856.62016Pakes, Anthony G. 5 1996 Characterizations by regressions of order statistics. Zbl 0879.62006Pakes, Anthony G.; Fakhry, M. E.; Mahmoud, M. R.; Ahmad, A. A. 1 1996 Characterization of discrete laws via mixed sums and Markov branching processes. Zbl 0817.60010Pakes, Anthony G. 20 1995 Quasi-stationary laws for Markov processes: Examples of an always proximate absorbing state. Zbl 0819.60065Pakes, Anthony G. 16 1995 Necessary conditions for characterization of laws via mixed sums. Zbl 0821.62007Pakes, Anthony G. 3 1994 Remarks on the Luria-Delbrück distribution. Zbl 0801.60005Pakes, Anthony G. 11 1993 Explosive Markov branching processes: Entrance laws and limiting behaviour. Zbl 0796.60089Pakes, Anthony G. 7 1993 Absorbing Markov and branching processes with instantaneous resurrection. Zbl 0796.60086Pakes, Anthony G. 6 1993 Length-biasing, characterizations of laws and the moment problem. Zbl 0759.62005Pakes, Anthony G.; Khattree, Ravindra 19 1992 A characterization of gamma mixtures of stable laws motivated by limit theorems. Zbl 0767.62013Pakes, A. G. 13 1992 On characterizations through mixed sums. Zbl 0759.62006Pakes, Anthony G. 9 1992 Divergence rates for explosive birth processes. Zbl 0757.60084Pakes, Anthony G. 2 1992 Second order subexponential distributions. Zbl 0747.60016Geluk, J. L.; Pakes, A. G. 10 1991 On family trees and subtrees of simple branching processes. Zbl 0731.60076Pakes, Anthony G.; Dekking, F. M. 7 1991 Mathematical ecology of plant species competition: a class of deterministic models for binary mixtures of plant genotypes. Zbl 0726.92027Pakes, Anthony G.; Maller, Ross A. 9 1990 The Markov branching process with density-independent catastrophes. III: The supercritical case. Zbl 0768.60073Pakes, Anthony G. 3 1990 Asymptotic results for the extinction time of Markov branching processes allowing emigration. I: Randon walk decrements. Zbl 0671.60078Pakes, Anthony G. 11 1989 The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction. Zbl 0726.60084Pakes, Anthony G.; Pollett, P. K. 8 1989 An infinite alleles version of the Markov branching process. Zbl 0664.92012Pakes, Anthony G. 7 1989 The Markov branching process with density-independent catastrophes. II: The subcritical and critical cases. Zbl 0735.60090Pakes, Anthony G. 5 1989 On the asymptotic behaviour of the extinction time of the simple branching process. Zbl 0679.60083Pakes, Anthony G. 4 1989 A complementary note on the supercritical birth, death and catastrophe process. Zbl 0721.60094Pakes, A. G. 2 1989 An infinite-alleles version of the simple branching process. Zbl 0653.92009Griffiths, R. C.; Pakes, Anthony G. 18 1988 The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction. Zbl 0721.60093Pakes, Anthony G. 8 1988 Some limit theorems for continuous-state branching processes. Zbl 0638.60089Pakes, Anthony G. 8 1988 The Markov branching process with density-independent catastrophes. I. Behaviour of extinction probabilities. Zbl 0641.60089Pakes, Anthony G. 5 1988 Limit theorems for the population size of a birth and death process allowing catastrophes. Zbl 0642.92012Pakes, Anthony G. 22 1987 Remarks on the maxima of a martingale sequence with application to the simple critical branching process. Zbl 0636.60047Pakes, Anthony G. 4 1987 The Markov branching-castastrophe process. Zbl 0633.92014Pakes, Anthony G. 12 1986 Some properties of a branching process with group immigration and emigration. Zbl 0631.60083Pakes, Anthony G. 6 1986 Some properties of continuous-state branching processes, with applications to Bartoszyński’s virus model. Zbl 0562.92015Pakes, Anthony G.; Trajstman, A. C. 7 1985 The Galton-Watson process with killing. Zbl 0541.60087Pakes, Anthony G. 6 1984 Some properties of a random linear difference equation. Zbl 0535.60076Pakes, Anthony G. 7 1983 The total progeny of a simple branching process with state-dependent immigration. Zbl 0525.60087Kulkarni, M. V.; Pakes, A. G. 2 1983 Remarks on a model of competitive bidding for employment. Zbl 0523.60081Pakes, Anthony G. 1 1983 Optimal estimation of the criticality parameter of a supercritical branching process having random environments. Zbl 0483.60082Pakes, Anthony G.; Heyde, C. C. 4 1982 Some remarks on the paper by Theodorescu and Wolff: ”Sequential estimation of expectations in the presence of trend”. Zbl 0505.62067Pakes, Anthony G. 2 1982 Comments on the age distribution of Markov processes. Zbl 0476.60067Pakes, Anthony G.; Tavare, Simon 8 1981 The limit behaviour of a Markov chain related to the simple branching process allowing immigration. Zbl 0464.60071Pakes, Anthony G. 3 1981 Some remarks on a one-dimensional skip-free process with repulsion. Zbl 0448.60045Pakes, Anthony G. 1 1980 Limit theorems for the simple branching process allowing immigration. I: The case of finite offspring mean. Zbl 0401.60077Pakes, Anthony G. 11 1979 A stochastic model for a replicating population subjected to mass emigration due to population pressure. Zbl 0399.92019Pakes, A. G.; Trajstman, A. C.; Brockwell, P. J. 9 1979 Some limit theorems for Jirina Processes. Zbl 0362.60085Pakes, A. G. 4 1979 Limit theorems for the simple branching process allowing immigration, II. The case of infinite offspring mean. Zbl 0401.60078Barbour, A. D.; Pakes, Anthony G. 4 1979 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 925 Authors 65 Pakes, Anthony G. 26 Hashorva, Enkelejd 21 Wang, Yuebao 16 Yang, Yang 15 Stepanov, Aleksei Vasil’evich 15 Tang, Qihe 14 Dembińska, Anna 12 Chen, Anyue 12 Wang, Kaiyong 11 Balakrishnan, Narayanaswamy 11 Stoyanov, Jordan M. 10 Gouet, Raúl 10 Imomov, Azam Abdurakhimovich 10 Watanabe, Toshiro 9 Gonzalez-Velasco, Miguel 9 Javier López, F. 9 Li, Junping 9 Mandjes, Michel Robertus Hendrikus 9 Sanz, Gerardo 9 Yanev, Nikolay Mihailov 8 Pollett, Philip K. 8 Yu, Changjun 8 Zhang, Hanjun 7 Cheng, Dongya 7 Korshunov, Dmitry Alekseevich 7 Krishna Kumar, Balasubramanian 7 Lin, Gwo Dong 7 Mitov, Kosto V. 7 Yanev, George P. 7 Zhang, Mei 7 Zheng, Qi 6 Foss, Sergey G. 6 Giorno, Virginia 6 Iksanov, Aleksander M. 6 López-Blázquez, Fernando 6 Martínez, Rodrigo 6 Nobile, Amelia G. 6 Rønn-Nielsen, Anders 6 Salamanca-Miño, Begoña 6 Zwart, Bert P. 5 Akbari, Masoumeh 5 Bertoin, Jean 5 Castaño-Martínez, Antonia 5 Cui, Zhaolei 5 Dimitriou, Ioannis 5 Foucart, Clément 5 Griffin, Philip S. 5 Hyrien, Ollivier 5 Kozubowski, Tomasz J. 5 Lefèvre, Claude 5 Mota, Manuel 5 Nair, N. Unnikrishnan 5 Peköz, Erol A. 5 Rahimov, Ibrahim 5 Sagitov, Serik 5 Whitt, Ward 4 Allen, Linda J. S. 4 Borst, Sem C. 4 Chen, Yu 4 Cheng, Fengyang 4 Deshmukh, Shailaja R. 4 Di Crescenzo, Antonio 4 Geluk, Jaap L. 4 Hautphenne, Sophie 4 Jasiński, Krzysztof 4 Kimmel, Marek 4 Klüppelberg, Claudia 4 Kyprianou, Andreas E. 4 Lelarge, Marc 4 Li, Jinzhu 4 Li, Yun 4 Ma, Chunhua 4 Molina, Manuel 4 Navarro, Jorge 4 Ostrovska, Sofiya 4 Parthasarathy, Panamalai Ramarao 4 Roitershtein, Alexander 4 Röllin, Adrian 4 Stefanov, Valeri T. 4 Stehr, Mads 4 Sunoj, Sreenarayanapurath Madhavan 4 van Doorn, Erik A. 4 Vatutin, Vladimir Alekseevich 4 Xu, Hui 3 Ahmadi, Jafar 3 Ahsanullah, Mohammad 3 Alsmeyer, Gerold 3 Baddeley, Adrian John 3 Barabesi, Lucio 3 Barbe, Philippe 3 Baumann, Hendrik 3 Bayramoğlu, Ismihan G. 3 Boxma, Onno Johan 3 Brázdil, Tomáš 3 Buraczewski, Dariusz 3 Cairns, Benjamin J. 3 Coeurjolly, Jean-François 3 del Puerto, Inés Maria 3 Denisov, Denis E. 3 Denuit, Michel M. ...and 825 more Authors all top 5 Cited in 179 Serials 64 Statistics & Probability Letters 58 Journal of Applied Probability 54 Stochastic Processes and their Applications 36 Communications in Statistics. Theory and Methods 27 Insurance Mathematics & Economics 23 Queueing Systems 23 Stochastic Models 21 Extremes 20 Mathematical Biosciences 19 Journal of Mathematical Analysis and Applications 19 Journal of Statistical Planning and Inference 19 Journal of Theoretical Probability 19 The Annals of Applied Probability 17 Advances in Applied Probability 15 Statistics 12 The Annals of Probability 12 Bernoulli 11 Probability Theory and Related Fields 10 Journal of Mathematical Biology 10 Metrika 10 Journal of Computational and Applied Mathematics 10 Science China. Mathematics 9 Annals of the Institute of Statistical Mathematics 9 Methodology and Computing in Applied Probability 8 Statistical Papers 8 Scandinavian Actuarial Journal 7 Lithuanian Mathematical Journal 7 European Journal of Operational Research 7 Electronic Journal of Probability 7 Frontiers of Mathematics in China 6 Applied Mathematics and Computation 6 Journal of Multivariate Analysis 6 Stochastic Analysis and Applications 6 Mathematical and Computer Modelling 6 Journal of the Australian Mathematical Society 5 Mathematical Notes 5 Theory of Probability and its Applications 5 Siberian Mathematical Journal 5 Theoretical Population Biology 5 Operations Research Letters 5 Test 5 Brazilian Journal of Probability and Statistics 5 Journal of Siberian Federal University. Mathematics & Physics 4 Journal of Statistical Physics 4 Bulletin of Mathematical Biology 4 Acta Mathematicae Applicatae Sinica. English Series 4 Annals of Operations Research 4 Communications in Statistics. Simulation and Computation 4 Mathematical Population Studies 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Acta Mathematica Sinica. English Series 4 Probability in the Engineering and Informational Sciences 4 Journal of the Korean Statistical Society 4 Electronic Journal of Statistics 4 Matematicheskie Voprosy Kriptografii 3 Computers & Mathematics with Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Ukrainian Mathematical Journal 3 Journal of Soviet Mathematics 3 Opsearch 3 Statistica 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Probability and Mathematical Statistics 3 Statistical Science 3 Journal of Statistical Computation and Simulation 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Computational Statistics and Data Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Top 3 Mathematical Methods of Operations Research 3 Australian & New Zealand Journal of Statistics 3 RAIRO. Operations Research 3 Statistical Methods and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 International Journal of Stochastic Analysis 3 Journal of Probability and Statistics 2 Journal of Mathematical Physics 2 Moscow University Mathematics Bulletin 2 Physica A 2 Scandinavian Journal of Statistics 2 Stochastics 2 Aplikace Matematiky 2 Statistica Neerlandica 2 Transactions of the American Mathematical Society 2 OR Spektrum 2 Chinese Annals of Mathematics. Series B 2 Discrete Event Dynamic Systems 2 Applied Mathematical Modelling 2 Cybernetics and Systems Analysis 2 Applied Mathematics. Series B (English Edition) 2 Theory of Probability and Mathematical Statistics 2 Journal of Mathematical Sciences (New York) 2 Filomat 2 Integral Transforms and Special Functions 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Abstract and Applied Analysis 2 Fractional Calculus & Applied Analysis 2 Journal of the European Mathematical Society (JEMS) ...and 79 more Serials all top 5 Cited in 37 Fields 733 Probability theory and stochastic processes (60-XX) 263 Statistics (62-XX) 99 Operations research, mathematical programming (90-XX) 99 Biology and other natural sciences (92-XX) 75 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Integral transforms, operational calculus (44-XX) 25 Combinatorics (05-XX) 24 Computer science (68-XX) 20 Numerical analysis (65-XX) 13 Special functions (33-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 8 Real functions (26-XX) 8 Partial differential equations (35-XX) 8 Information and communication theory, circuits (94-XX) 7 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Integral equations (45-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) Citations by Year