Edit Profile (opens in new tab) Athreya, Krishna Balasundaram Co-Author Distance Author ID: athreya.krishna-balasundaram Published as: Athreya, K. B.; Athreya, Krishna B.; Athreya, K.; Athreya, Krishna Balasundaram; Athreya, Krishna more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 140 Publications since 1967, including 5 Books and 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 62 Co-Authors with 92 Joint Publications 2,027 Co-Co-Authors all top 5 Co-Authors 48 single-authored 13 Ney, Peter E. 5 Karlin, Samuel 5 Lahiri, Soumendra Nath 4 Roy, Vivekananda 4 Vidyashankar, Anand N. 3 Anderson, Kevin Karl 3 Fuh, Cheng-Der 3 Hong, Jyy-I 3 Kaplan, Norman L. 3 Majumdar, Mukul K. 3 Schuh, Hans-Jürgen 3 Weerasinghe, Ananda P. N. 2 Athreya, Jayadev S. 2 Athreya, Siva R. 2 Atuncar, Gregorio Saravia 2 Dai, Jack Jie 2 Fukuchi, Jun-ichiro 2 Hitchcock, John M. 2 Iyer, Srikanth K. 2 Kang, Hye-Jeong 2 Lutz, Jack H. 2 Mayordomo, Elvira 2 McDonald, David R. 2 Pantula, Sastry G. 2 Rajeev, Bhaskaran 2 Rama-Murthy, Kavi 1 Anderson, Theodore Wilbur jun. 1 Arnold, Barry Charles 1 Bhattacharya, Rabi N. 1 Bishnu, Monisankar 1 Doss, Hani 1 Ghosh, Arka Prasanna 1 Ghosh, Malay 1 Hwang, Chii-Ruey 1 Iglehart, Donald Lee 1 Iyengar, R. Narayana 1 Jagers, Peter 1 Keiding, Niels 1 Kliemann, Wolfgang H. 1 Koch, Giorgio 1 Kurtz, Thomas Gordon 1 Low, Leone Y. 1 Normand, Raoul 1 Parthasarathy, Panamalai Ramarao 1 Peters, Justin R. 1 Pranesachar, C. R. 1 Puri, Madan Lal 1 Saha, Koushik 1 Sankaranarayanan, Ganesh 1 Sen, Pranab Kumar 1 Sen, Prodip 1 Sethuraman, Jayaram 1 Sethuraman, Sunder 1 Singhi, Navin Madhavprasad 1 Smith, Jonathan Dallas Hayden 1 Srivastava, Radhendushka 1 Stenflo, Orjan 1 Tweedie, Richard Lewis 1 Vere-Jones, David 1 Waymire, Edward C. 1 Wu, Sheng-Jhih 1 Wu, Wei all top 5 Serials 13 Statistics & Probability Letters 10 Journal of Applied Probability 9 The Annals of Probability 6 Annals of Mathematical Statistics 5 Journal of Statistical Planning and Inference 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Advances in Applied Probability 4 Journal of the Indian Institute of Science 4 Sankhyā. Series A. Methods and Techniques 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Economic Theory 2 Journal of Mathematical Biology 2 The Annals of Statistics 2 Journal of Mathematics of Kyoto University 2 The Mathematics Student 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 2 Bernoulli 2 Internet Mathematics 2 Texts and Readings in Mathematics 2 Sankhyā 2 Sankhyā. Series A 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Mathematische Zeitschrift 1 SIAM Journal on Computing 1 Studia Scientiarum Mathematicarum Hungarica 1 European Journal of Combinatorics 1 Systems & Control Letters 1 Probability Theory and Related Fields 1 Taiwanese Journal of Mathematics 1 Integers 1 Discussiones Mathematicae. Probability and Statistics 1 Brazilian Journal of Probability and Statistics 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics 1 Grundlehren der Mathematischen Wissenschaften 1 The IMA Volumes in Mathematics and its Applications 1 Institute of Mathematical Statistics Lecture Notes - Monograph Series 1 Electronic Journal of Statistics 1 Mathematics Newsletter 1 Springer Texts in Statistics all top 5 Fields 117 Probability theory and stochastic processes (60-XX) 24 Statistics (62-XX) 8 Measure and integration (28-XX) 6 Biology and other natural sciences (92-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 2,666 times in 2,135 Documents Cited by ▼ Year ▼ Branching processes. Zbl 0259.60002 Athreya, K. B.; Ney, P. E. 918 1972 Branching processes. Reprint of the 1972 original. Zbl 1070.60001 Athreya, Krishna B.; Ney, Peter E. 162 2004 On branching processes with random environments. I: Extinction probabilities. Zbl 0228.60032 Athreya, Krishna B.; Karlin, Samuel 136 1971 A new approach to the limit theory of recurrent Markov chains. Zbl 0397.60053 Athreya, K. B.; Ney, P. 120 1978 Embedding of urn schemes into continuous time Markov branching processes and related limit theorems. Zbl 0185.46103 Athreya, K. B.; Karlin, S. 108 1968 Measure theory and probability theory. Zbl 1125.60001 Athreya, Krishna B.; Lahiri, Soumendra N. 102 2006 Effective strong dimension in algorithmic information and computational complexity. Zbl 1144.68029 Athreya, Krishna B.; Hitchcock, John M.; Lutz, Jack H.; Mayordomo, Elvira 80 2007 Branching processes with random enviroments. II: Limit theorems. Zbl 0228.60033 Athreya, Krishna B.; Karlin, Samuel 78 1971 Bootstrap of the mean in the infinite variance case. Zbl 0628.62042 Athreya, K. B. 66 1987 Large deviation rates for branching processes. I: Single type case. Zbl 0806.60068 Athreya, K. B. 49 1994 Limit theorems for semi-Markov processes and renewal theory for Markov chains. Zbl 0397.60052 Athreya, K. B.; McDonald, D.; Ney, P. 41 1978 Mixing properties of Harris chains and autoregressive processes. Zbl 0623.60087 Athreya, Krishna B.; Pantula, Sastry G. 39 1986 Functionals of critical multitype branching processes. Zbl 0282.60052 Athreya, K.; Ney, P. 29 1974 Limit theorems for the split times of branching processes. Zbl 0171.15801 Athreya, K. B.; Karlin, S. 26 1967 Bootstrapping Markov chains: Countable case. Zbl 0765.62078 Athreya, K. B.; Fuh, C. D. 26 1992 On the convergence of the Markov chain simulation method. Zbl 0860.60057 Athreya, Krishna B.; Doss, Hani; Sethuraman, Jayaram 25 1996 Some results on multitype continuous time Markov branching processes. Zbl 0169.49202 Athreya, K. B. 22 1968 Coalescence in the recent past in rapidly growing populations. Zbl 1252.92045 Athreya, K. B. 20 2012 Limit theorems for multitype continuous time Markov branching processes. I: The case of an eigenvector linear function. Zbl 0181.21101 Athreya, K. B. 20 1969 The local limit theorem and some related aspects of super-critical branching processes. Zbl 0214.16203 Athreya, K. B.; Ney, P. 20 1970 Convergence of the age distribution in the one-dimensional supercritical age-dependent branching process. Zbl 0356.60048 Athreya, K. B.; Kaplan, N. 20 1976 Strong law for the bootstrap. Zbl 0518.62016 Athreya, K. B. 19 1983 Limit theorems for multitype continuous time Markov branching processes. II: The case of an arbitrary linear function. Zbl 0181.21102 Athreya, K. B. 19 1969 A note on strong mixing of ARMA processes. Zbl 0596.60039 Athreya, Krishna B.; Pantula, Sastry G. 19 1986 Change of measures for Markov chains and the \(L\log L\) theorem for branching processes. Zbl 0969.60076 Athreya, Krishna B. 18 2000 Random logistic maps. I. Zbl 0969.60069 Athreya, K. B.; Dai, Jack 17 2000 On the super critical one dimensional age dependent branching processes. Zbl 0175.46603 Athreya, K. B. 16 1969 Confidence intervals for endpoints of a c.d.f. via bootstrap. Zbl 0884.62048 Athreya, Krishna B.; Fukuchi, Jun-ichiro 16 1997 Growth of preferential attachment random graphs via continuous-time branching processes. Zbl 1153.05020 Athreya, Krishna B.; Ghosh, Arka P.; Sethuraman, Sunder 16 2008 Coalescence in critical and subcritical Galton-Watson branching processes. Zbl 1408.60078 Athreya, K. B. 15 2012 Laws of large numbers for bootstrapped U-statistics. Zbl 0533.62043 Athreya, Krishna B.; Ghosh, Malay; Low, Leone Y.; Sen, Pranab K. 14 1984 Effective strong dimension in algorithmic information and computational complexity. Zbl 1122.68068 Athreya, Krishna B.; Hitchcock, John M.; Lutz, Jack H.; Mayordomo, Elvira 13 2004 Kernel estimation for real-valued Markov chains. Zbl 0977.62093 Athreya, Krishna B.; Atuncar, Gregorio S. 13 1998 Discounted branching random walks. Zbl 0561.60089 Athreya, K. B. 12 1985 On the maximum sequence in a critical branching process. Zbl 0643.60063 Athreya, K. B. 10 1988 Some limit theorems for positive recurrent branching Markov chains. I. Zbl 0926.60069 Athreya, Krishna B.; Kang, Hye-Jeong 10 1998 A note on a functional equation arising in Galton-Watson branching processes. Zbl 0254.60058 Athreya, Krishna B. 10 1971 A renewal theorem in the infinite mean case. Zbl 0614.60084 Anderson, Kevin K.; Athreya, Krishna B. 10 1987 Classical and modern branching processes. Proceedings of the IMA workshop, Minneapolis, MN, USA, June 13–17, 1994. Zbl 0855.00027 10 1997 Measure theory and probability theory. Zbl 1130.60001 Athreya, Krishna B.; Lahiri, Soumendra N. 9 2006 Branching processes with random environments. Zbl 0209.19302 Athreya, K. B.; Karlin, S. 9 1970 Some refinements in the theory of supercritical multitype Markov branching processes. Zbl 0209.19304 Athreya, K. B. 9 1971 Some limit theorems for positive recurrent branching Markov chains. II. Zbl 0926.60070 Athreya, Krishna B.; Kang, Hye-Jeong 9 1998 Feller’s renewal theorem for systems of renewal equations. Zbl 0356.60057 Athreya, K. B.; Murthy, K. Rama 9 1976 Rates of decay for the survival probability of a mutant gene. Zbl 0748.92006 Athreya, K. B. 9 1992 Coupling and the renewal theorem. Zbl 0397.60072 Athreya, K.; McDonald, D.; Ney, P. 9 1978 Additive property and its applications in branching processes. Zbl 0404.60088 Athreya, K. B.; Kaplan, N. 9 1978 Large deviation rates for branching processes. II: The multitype case. Zbl 0830.60082 Athreya, K. B.; Vidyashankar, A. N. 8 1995 On a characteristic property of Polya’s urn. Zbl 0185.47301 Athreya, K. B. 8 1969 Darling and Kac revisited. Zbl 0697.60025 Athreya, K. B. 8 1986 Estimation theory for continuous-time branching processes. Zbl 0409.62081 Athreya, K. B.; Keiding, Niels 8 1977 Bootstrapping Markov chains. Zbl 0840.62082 Athreya, K. B.; Fuh, C. D. 7 1992 A generalization of Dynkin’s identity and some applications. Zbl 0264.60048 Athreya, Krishna B.; Kurtz, Thomas G. 7 1973 Large deviation rates for supercritical and critical branching processes. Zbl 0897.60087 Athreya, K. B.; Vidyashankar, A. N. 7 1997 On the number of Latin rectangles and chromatic polynomial of \(L(K_{r,s})\). Zbl 0461.05004 Athreya, K. B.; Pranesachar, C. R.; Singhi, N. M. 7 1980 Bootstrap of the mean in the infinite variance case. Zbl 0669.62023 Athreya, K. B. 6 1987 Preferential attachment random graphs with general weight function. Zbl 1206.68225 Athreya, K. B. 6 2007 Gibbs measures asymptotics. Zbl 1209.60004 Athreya, K. B.; Hwang, Chii-Ruey 6 2010 Random logistic maps. II: The critical case. Zbl 1040.60059 Athreya, K. B.; Schuh, H.-J. 6 2003 Limit theorems for semi-Markov processes. Zbl 0392.60068 Athreya, K. B.; Ney, P. E. 6 1978 Monte Carlo methods for improper target distributions. Zbl 1309.65003 Athreya, Krishna B.; Roy, Vivekananda 6 2014 Branching processes. Zbl 0988.60081 Athreya, K. B.; Vidyashankar, A. N. 5 2001 A renewal approach to the Perron-Frobenius theory of non-negative kernels on general state spaces. Zbl 0471.28010 Athreya, Krishna B.; Ney, Peter 5 1982 Supercritical age-dependent branching processes with immigration. Zbl 0308.60048 Athreya, K. B.; Parthasarathy, P. R.; Sankaranarayanan, G. 5 1974 Limit theorems for a branching process with disasters. Zbl 0363.60067 Athreya, K. B.; Kaplan, N. 5 1976 A Markov process approach to systems of renewal equations with application to branching processes. Zbl 0408.60087 Athreya, K. B.; Ney, P. 5 1978 Preferential attachment random graphs with general weight function. Zbl 1238.05241 Athreya, K. B. 5 2007 On the nonuniqueness of the invariant probability for i. i. d. random logistic maps. Zbl 1013.60054 Athreya, Krishna Balasundaram; Dai, Jack Jie 5 2002 Modified Bessel function asymptotics via probability. Zbl 0625.60020 Athreya, Krishna B. 4 1987 On sequential construction of solutions of stochastic differential equations with jump terms. Zbl 0636.60062 Athreya, K. B.; Kliemann, W.; Koch, G. 4 1988 Inference for heavy tailed distributions. Zbl 0921.62056 Athreya, K. B.; Lahiri, S. N.; Wu, Wei 4 1998 Stationary measures for some Markov chain models in ecology and economics. Zbl 1035.60076 Athreya, Krishna B. 4 2004 On the absolute continuity of the limit random variable in the supercritical Galton-Watson branching process. Zbl 0234.60097 Athreya, Krishna B. 4 1971 Limit theorems for the means of branching random walks. Zbl 0282.60051 Athreya, K.; Ney, P. 4 1973 A strong renewal theorem for generalized renewal functions in the infinite mean case. Zbl 0627.60081 Anderson, Kevin K.; Athreya, Krishna B. 3 1988 A note on conjugate \(\Pi\)-variation and a weak limit theorem for the number of renewals. Zbl 0632.60084 Anderson, Kevin K.; Athreya, Krishna B. 3 1988 Supercritical age-dependent branching Markov processes and their scaling limits. Zbl 1284.60155 Athreya, Krishna B.; Athreya, Siva R.; Iyer, Srikanth K. 3 2011 On the equivalence of conditions on a branching process in continuous time and on its offspring distribution. Zbl 0181.44003 Athreya, K. B. 3 1969 A simple proof of a result of Kesten and Stigum on supercritical multitype Galton-Watson branching process. Zbl 0186.50201 Athreya, Krishna B. 3 1970 Another conjugate family for the normal distribution. Zbl 0585.62029 Athreya, K. B. 3 1986 Rates of decay for the survival probability of a mutant gene. II: The multitype case. Zbl 0788.92015 Athreya, K. B. 3 1993 Coalescence in branching processes. Zbl 1354.60091 Athreya, Krishna B. 3 2016 Estimation of integrals with respect to infinite measures using regenerative sequences. Zbl 1334.65003 Athreya, Krishna B.; Roy, Vivekananda 3 2015 On the supercritical Bellman-Harris process with finite mean. Zbl 1192.60095 Athreya, K. B.; Schuh, H.-J. 3 2003 Perfect sampling for doeblin chains. Zbl 1192.65007 Athreya, Krishna B.; Stenflo, Orjan 3 2003 An application of the coalescence theory to branching random walks. Zbl 1276.60095 Athreya, K. B.; Hong, Jyy-I 3 2013 Probability theory. Zbl 1136.60002 Athreya, Krishna B.; Lahiri, Soumendra N. 2 2006 Asymptotic behaviour of point processes with Markov-dependent intervals. Zbl 0479.60056 Athreya, K. B.; Tweedie, R. L.; Vere-Jones, D. 2 1980 Ancestor problem for branching trees. Zbl 1219.60070 Athreya, K. B. 2 2010 On the bootstrap and the moving block bootstrap for the maximum of a stationary process. Zbl 0930.62046 Athreya, Krishna B.; Fukuchi, Jun-ichiro; Lahiri, Soumendra N. 2 1999 On the range of recurrent Markov chains. Zbl 0572.60071 Athreya, K. B. 2 1985 An outline of the theory of branching processes. Zbl 0391.60074 Athreya, K. B. 2 1973 Large deviation results for branching processes. Zbl 0783.60076 Athreya, K. B.; Vidyashankar, A. 2 1993 Central limit theorem for a double array of Harris chains. Zbl 0794.60013 Athreya, K. B.; Fuh, C. D. 2 1993 Branching random walks. Zbl 1322.60172 Athreya, K. B. 2 2010 Asymptotics of powers of binomial and multinomial probabilities. Zbl 1382.60047 Athreya, K. B.; Janicki, R. 2 2016 Estimating the stationary distribution of a Markov chain. Zbl 1020.62073 Athreya, Krishna B.; Majumdar, Mukul 2 2003 Brownian crossings via regeneration times. Zbl 1274.60074 Rajeev, B.; Athreya, K. B. 2 2013 Exponentiality of the local time at hitting times for reflecting diffusions and an application. Zbl 0684.60058 Athreya, K. B.; Weerasinghe, A. P. N. 1 1989 T. E. Harris and branching processes. Zbl 1213.60132 Athreya, K. B.; Ney, P. E. 1 2011 Coalescence on supercritical Bellman-Harris branching processes. Zbl 1401.60157 Athreya, Krishna B.; Hong, Jyy-I 1 2018 Coalescence in branching processes. Zbl 1354.60091 Athreya, Krishna B. 3 2016 Asymptotics of powers of binomial and multinomial probabilities. Zbl 1382.60047 Athreya, K. B.; Janicki, R. 2 2016 A Galton-Watson process with a threshold. Zbl 1344.60079 Athreya, K. B.; Schuh, H.-J. 1 2016 Estimation of integrals with respect to infinite measures using regenerative sequences. Zbl 1334.65003 Athreya, Krishna B.; Roy, Vivekananda 3 2015 Monte Carlo methods for improper target distributions. Zbl 1309.65003 Athreya, Krishna B.; Roy, Vivekananda 6 2014 An application of the coalescence theory to branching random walks. Zbl 1276.60095 Athreya, K. B.; Hong, Jyy-I 3 2013 Brownian crossings via regeneration times. Zbl 1274.60074 Rajeev, B.; Athreya, K. B. 2 2013 Coalescence in the recent past in rapidly growing populations. Zbl 1252.92045 Athreya, K. B. 20 2012 Coalescence in critical and subcritical Galton-Watson branching processes. Zbl 1408.60078 Athreya, K. B. 15 2012 Supercritical age-dependent branching Markov processes and their scaling limits. Zbl 1284.60155 Athreya, Krishna B.; Athreya, Siva R.; Iyer, Srikanth K. 3 2011 T. E. Harris and branching processes. Zbl 1213.60132 Athreya, K. B.; Ney, P. E. 1 2011 Continuity of translation operators. Zbl 1234.26022 Athreya, Krishna B.; Peters, Justin R. 1 2011 Gibbs measures asymptotics. Zbl 1209.60004 Athreya, K. B.; Hwang, Chii-Ruey 6 2010 Ancestor problem for branching trees. Zbl 1219.60070 Athreya, K. B. 2 2010 Branching random walks. Zbl 1322.60172 Athreya, K. B. 2 2010 Critical age-dependent branching Markov processes and their scaling limits. Zbl 1208.60082 Athreya, Krishna B.; Athreya, Siva R.; Iyer, Srikanth K. 1 2010 Entropy maximization. Zbl 1200.62002 Athreya, K. B. 1 2009 Growth of preferential attachment random graphs via continuous-time branching processes. Zbl 1153.05020 Athreya, Krishna B.; Ghosh, Arka P.; Sethuraman, Sunder 16 2008 Effective strong dimension in algorithmic information and computational complexity. Zbl 1144.68029 Athreya, Krishna B.; Hitchcock, John M.; Lutz, Jack H.; Mayordomo, Elvira 80 2007 Preferential attachment random graphs with general weight function. Zbl 1206.68225 Athreya, K. B. 6 2007 Preferential attachment random graphs with general weight function. Zbl 1238.05241 Athreya, K. B. 5 2007 Measure theory and probability theory. Zbl 1125.60001 Athreya, Krishna B.; Lahiri, Soumendra N. 102 2006 Measure theory and probability theory. Zbl 1130.60001 Athreya, Krishna B.; Lahiri, Soumendra N. 9 2006 Probability theory. Zbl 1136.60002 Athreya, Krishna B.; Lahiri, Soumendra N. 2 2006 Branching processes. Reprint of the 1972 original. Zbl 1070.60001 Athreya, Krishna B.; Ney, Peter E. 162 2004 Effective strong dimension in algorithmic information and computational complexity. Zbl 1122.68068 Athreya, Krishna B.; Hitchcock, John M.; Lutz, Jack H.; Mayordomo, Elvira 13 2004 Stationary measures for some Markov chain models in ecology and economics. Zbl 1035.60076 Athreya, Krishna B. 4 2004 Random logistic maps. II: The critical case. Zbl 1040.60059 Athreya, K. B.; Schuh, H.-J. 6 2003 On the supercritical Bellman-Harris process with finite mean. Zbl 1192.60095 Athreya, K. B.; Schuh, H.-J. 3 2003 Perfect sampling for doeblin chains. Zbl 1192.65007 Athreya, Krishna B.; Stenflo, Orjan 3 2003 Estimating the stationary distribution of a Markov chain. Zbl 1020.62073 Athreya, Krishna B.; Majumdar, Mukul 2 2003 Iteration of iid random maps on \(R^+\). Zbl 1052.60054 Athreya, K. B. 1 2003 On the nonuniqueness of the invariant probability for i. i. d. random logistic maps. Zbl 1013.60054 Athreya, Krishna Balasundaram; Dai, Jack Jie 5 2002 Kernel estimators for semi-Markov processes. Zbl 1049.62091 Atuncar, Gregorio S.; Athreya, Krishna B. 1 2002 Branching processes. Zbl 0988.60081 Athreya, K. B.; Vidyashankar, A. N. 5 2001 Change of measures for Markov chains and the \(L\log L\) theorem for branching processes. Zbl 0969.60076 Athreya, Krishna B. 18 2000 Random logistic maps. I. Zbl 0969.60069 Athreya, K. B.; Dai, Jack 17 2000 Random iteration of i. i. d. quadratic maps. Zbl 0969.60072 Athreya, K. B.; Bhattacharya, R. N. 1 2000 On the bootstrap and the moving block bootstrap for the maximum of a stationary process. Zbl 0930.62046 Athreya, Krishna B.; Fukuchi, Jun-ichiro; Lahiri, Soumendra N. 2 1999 Kernel estimation for real-valued Markov chains. Zbl 0977.62093 Athreya, Krishna B.; Atuncar, Gregorio S. 13 1998 Some limit theorems for positive recurrent branching Markov chains. I. Zbl 0926.60069 Athreya, Krishna B.; Kang, Hye-Jeong 10 1998 Some limit theorems for positive recurrent branching Markov chains. II. Zbl 0926.60070 Athreya, Krishna B.; Kang, Hye-Jeong 9 1998 Inference for heavy tailed distributions. Zbl 0921.62056 Athreya, K. B.; Lahiri, S. N.; Wu, Wei 4 1998 Confidence intervals for endpoints of a c.d.f. via bootstrap. Zbl 0884.62048 Athreya, Krishna B.; Fukuchi, Jun-ichiro 16 1997 Classical and modern branching processes. Proceedings of the IMA workshop, Minneapolis, MN, USA, June 13–17, 1994. Zbl 0855.00027 10 1997 Large deviation rates for supercritical and critical branching processes. Zbl 0897.60087 Athreya, K. B.; Vidyashankar, A. N. 7 1997 On the convergence of the Markov chain simulation method. Zbl 0860.60057 Athreya, Krishna B.; Doss, Hani; Sethuraman, Jayaram 25 1996 Large deviation rates for branching processes. II: The multitype case. Zbl 0830.60082 Athreya, K. B.; Vidyashankar, A. N. 8 1995 Large deviation rates for branching processes. I: Single type case. Zbl 0806.60068 Athreya, K. B. 49 1994 Rates of decay for the survival probability of a mutant gene. II: The multitype case. Zbl 0788.92015 Athreya, K. B. 3 1993 Large deviation results for branching processes. Zbl 0783.60076 Athreya, K. B.; Vidyashankar, A. 2 1993 Central limit theorem for a double array of Harris chains. Zbl 0794.60013 Athreya, K. B.; Fuh, C. D. 2 1993 Bootstrapping Markov chains: Countable case. Zbl 0765.62078 Athreya, K. B.; Fuh, C. D. 26 1992 Rates of decay for the survival probability of a mutant gene. Zbl 0748.92006 Athreya, K. B. 9 1992 Bootstrapping Markov chains. Zbl 0840.62082 Athreya, K. B.; Fuh, C. D. 7 1992 Exponentiality of the local time at hitting times for reflecting diffusions and an application. Zbl 0684.60058 Athreya, K. B.; Weerasinghe, A. P. N. 1 1989 On the maximum sequence in a critical branching process. Zbl 0643.60063 Athreya, K. B. 10 1988 On sequential construction of solutions of stochastic differential equations with jump terms. Zbl 0636.60062 Athreya, K. B.; Kliemann, W.; Koch, G. 4 1988 A strong renewal theorem for generalized renewal functions in the infinite mean case. Zbl 0627.60081 Anderson, Kevin K.; Athreya, Krishna B. 3 1988 A note on conjugate \(\Pi\)-variation and a weak limit theorem for the number of renewals. Zbl 0632.60084 Anderson, Kevin K.; Athreya, Krishna B. 3 1988 Bootstrap of the mean in the infinite variance case. Zbl 0628.62042 Athreya, K. B. 66 1987 A renewal theorem in the infinite mean case. Zbl 0614.60084 Anderson, Kevin K.; Athreya, Krishna B. 10 1987 Bootstrap of the mean in the infinite variance case. Zbl 0669.62023 Athreya, K. B. 6 1987 Modified Bessel function asymptotics via probability. Zbl 0625.60020 Athreya, Krishna B. 4 1987 Mixing properties of Harris chains and autoregressive processes. Zbl 0623.60087 Athreya, Krishna B.; Pantula, Sastry G. 39 1986 A note on strong mixing of ARMA processes. Zbl 0596.60039 Athreya, Krishna B.; Pantula, Sastry G. 19 1986 Darling and Kac revisited. Zbl 0697.60025 Athreya, K. B. 8 1986 Another conjugate family for the normal distribution. Zbl 0585.62029 Athreya, K. B. 3 1986 Discounted branching random walks. Zbl 0561.60089 Athreya, K. B. 12 1985 On the range of recurrent Markov chains. Zbl 0572.60071 Athreya, K. B. 2 1985 Laws of large numbers for bootstrapped U-statistics. Zbl 0533.62043 Athreya, Krishna B.; Ghosh, Malay; Low, Leone Y.; Sen, Pranab K. 14 1984 Strong law for the bootstrap. Zbl 0518.62016 Athreya, K. B. 19 1983 A renewal approach to the Perron-Frobenius theory of non-negative kernels on general state spaces. Zbl 0471.28010 Athreya, Krishna B.; Ney, Peter 5 1982 On the number of Latin rectangles and chromatic polynomial of \(L(K_{r,s})\). Zbl 0461.05004 Athreya, K. B.; Pranesachar, C. R.; Singhi, N. M. 7 1980 Asymptotic behaviour of point processes with Markov-dependent intervals. Zbl 0479.60056 Athreya, K. B.; Tweedie, R. L.; Vere-Jones, D. 2 1980 Renewal theory - A Markov process approach. Zbl 0447.60070 Athreya, K. B.; Ramamurthy, K. 1 1980 A new approach to the limit theory of recurrent Markov chains. Zbl 0397.60053 Athreya, K. B.; Ney, P. 120 1978 Limit theorems for semi-Markov processes and renewal theory for Markov chains. Zbl 0397.60052 Athreya, K. B.; McDonald, D.; Ney, P. 41 1978 Coupling and the renewal theorem. Zbl 0397.60072 Athreya, K.; McDonald, D.; Ney, P. 9 1978 Additive property and its applications in branching processes. Zbl 0404.60088 Athreya, K. B.; Kaplan, N. 9 1978 Limit theorems for semi-Markov processes. Zbl 0392.60068 Athreya, K. B.; Ney, P. E. 6 1978 A Markov process approach to systems of renewal equations with application to branching processes. Zbl 0408.60087 Athreya, K. B.; Ney, P. 5 1978 On stochastic approximation procedures in continuous time. Zbl 0402.93038 Sen, Prodip; Athreya, K. B. 1 1978 Estimation theory for continuous-time branching processes. Zbl 0409.62081 Athreya, K. B.; Keiding, Niels 8 1977 Convergence of state distribution in supercritical multitype Crump-Mode- Jagers branching processes. Zbl 0437.60061 Athreya, K. B.; Rama Murthy, K. 1 1977 Convergence of the age distribution in the one-dimensional supercritical age-dependent branching process. Zbl 0356.60048 Athreya, K. B.; Kaplan, N. 20 1976 Feller’s renewal theorem for systems of renewal equations. Zbl 0356.60057 Athreya, K. B.; Murthy, K. Rama 9 1976 Limit theorems for a branching process with disasters. Zbl 0363.60067 Athreya, K. B.; Kaplan, N. 5 1976 Stochastic iteration of stable processes. Zbl 0334.60035 Athreya, K. B. 1 1975 Functionals of critical multitype branching processes. Zbl 0282.60052 Athreya, K.; Ney, P. 29 1974 Supercritical age-dependent branching processes with immigration. Zbl 0308.60048 Athreya, K. B.; Parthasarathy, P. R.; Sankaranarayanan, G. 5 1974 A generalization of Dynkin’s identity and some applications. Zbl 0264.60048 Athreya, Krishna B.; Kurtz, Thomas G. 7 1973 Limit theorems for the means of branching random walks. Zbl 0282.60051 Athreya, K.; Ney, P. 4 1973 An outline of the theory of branching processes. Zbl 0391.60074 Athreya, K. B. 2 1973 An outline of the theory of branching processes. Zbl 0388.90082 Athreya, K. B. 1 1973 Branching processes. Zbl 0259.60002 Athreya, K. B.; Ney, P. E. 918 1972 On branching processes with random environments. I: Extinction probabilities. Zbl 0228.60032 Athreya, Krishna B.; Karlin, Samuel 136 1971 Branching processes with random enviroments. II: Limit theorems. Zbl 0228.60033 Athreya, Krishna B.; Karlin, Samuel 78 1971 A note on a functional equation arising in Galton-Watson branching processes. Zbl 0254.60058 Athreya, Krishna B. 10 1971 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,470 Authors 43 Athreya, Krishna Balasundaram 28 Vatutin, Vladimir Alekseevich 26 Liu, Quansheng 20 Chen, Anyue 20 Janson, Svante 20 Li, Junping 20 Mahmoud, Hosam M. 20 Pakes, Anthony G. 19 Yanev, Nikolaĭ Mihaĭlov 17 Alsmeyer, Gerold 17 Ren, Yanxia 15 Bansaye, Vincent 15 Durrett, Richard Timothy 15 Ney, Peter E. 15 Sagitov, Serik 14 Glynn, Peter W. 14 Lahiri, Soumendra Nath 14 Lutz, Jack H. 14 Song, Renming 13 D’yakonova, Elena Evgen’evna 13 Imomov, Azam Abdurakhimovich 12 Devroye, Luc P. J. A. 12 Gao, Zhiqiang 12 Hu, Feifang 11 Bertoin, Jean 11 Gao, Zhenlong 11 Hyrien, Ollivier 10 Hautphenne, Sophie 10 Peres, Yuval 10 Slavtchova-Bojkova, Maroussia Nikiforova 10 Smadi, Charline 9 Bertail, Patrice 9 Delmas, Jean-François 9 Foss, Sergey G. 9 Kimmel, Marek 9 Li, Yingqiu 9 Mayordomo, Elvira 9 Mitov, Kosto V. 9 Pap, Gyula 9 Vidyashankar, Anand N. 8 Allen, Linda J. S. 8 Asmussen, Søren 8 Bhamidi, Shankar 8 Clémençon, Stéphan 8 Iksanov, Aleksander M. 8 Kersting, Götz-Dietrich 8 Lalley, Steven P. 8 Lambert, Amaury 8 Mailler, Cécile 8 Nagaev, Sergeĭ Viktorovich 8 Rahimov, Ibrahim 8 Rösler, Uwe 8 van der Hofstad, Remco W. 8 Zhang, Li-Xin 7 Afanas’ev, Valeriĭ Ivanovich 7 Ball, Frank G. 7 Bandyopadhyay, Antar 7 Böinghoff, Christian 7 Britton, Tom 7 Buraczewski, Dariusz 7 Cohn, Harry 7 Dascaliuc, Radu 7 Harris, Simon C. 7 Hering, Heinrich 7 Hitchcock, John M. 7 Hong, Jyy-I 7 Johnston, Samuel G. G. 7 Khare, Kshitij 7 Klebaner, Fima C. 7 Kyprianou, Andreas E. 7 Pemantle, Robin 7 Rosenberger, William F. 7 Sun, Zhenyao 7 Thomann, Enrique A. 7 Volkov, Stanislav 7 Waymire, Edward C. 7 Yakovlev, Andrej Yu. 7 Zhang, Mei 6 Abraham, Romain 6 Bai, Zhi-Dong 6 Barczy, Mátyás 6 Bowditch, Adam M. 6 Datta, Somnath 6 Grama, Ion G. 6 Huang, Chunmao 6 Huillet, Thierry E. 6 Kaplan, Norman L. 6 Korshunov, Dmitry Alekseevich 6 Li, Deli 6 Li, Zenghu 6 Lutz, Neil 6 Marynych, Alexander V. 6 Moser, Philippe 6 Nummelin, Esa 6 Olvera-Cravioto, Mariana 6 Peng, Liang 6 Pollett, Philip K. 6 Roitershtein, Alexander 6 Roy, Vivekananda 6 Sriram, T. 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Académie des Sciences, Paris 5 Journal of Biological Dynamics 5 International Journal of Stochastic Analysis 4 Discrete Mathematics 4 Israel Journal of Mathematics 4 Physica A 4 Journal of Time Series Analysis 4 Probability and Mathematical Statistics 4 Statistics 4 Journal of Statistical Computation and Simulation 4 Mathematical Population Studies 4 Statistical Inference for Stochastic Processes 4 Probability Surveys 3 The Canadian Journal of Statistics 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Information Sciences 3 Journal of Computer and System Sciences 3 Journal of Differential Equations 3 Journal of Economic Theory 3 Journal of Functional Analysis 3 The Journal of Symbolic Logic 3 Mathematische Nachrichten 3 Scandinavian Actuarial Journal ...and 216 more Serials all top 5 Cited in 50 Fields 1,646 Probability theory and stochastic processes (60-XX) 459 Statistics (62-XX) 377 Biology and other natural sciences (92-XX) 164 Combinatorics (05-XX) 142 Computer science (68-XX) 89 Numerical analysis (65-XX) 86 Operations research, mathematical programming (90-XX) 76 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 70 Statistical mechanics, structure of matter (82-XX) 53 Dynamical systems and ergodic theory (37-XX) 52 Measure and integration (28-XX) 38 Partial differential equations (35-XX) 26 Mathematical logic and foundations (03-XX) 23 Ordinary differential equations (34-XX) 22 Systems theory; control (93-XX) 20 Information and communication theory, circuits (94-XX) 15 Operator theory (47-XX) 13 Real functions (26-XX) 12 Number theory (11-XX) 11 Functional analysis (46-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Quantum theory (81-XX) 9 Special functions (33-XX) 9 Difference and functional equations (39-XX) 7 Integral transforms, operational calculus (44-XX) 7 Integral equations (45-XX) 6 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Sequences, series, summability (40-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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