Edit Profile (opens in new tab) Seneta, Eugene Co-Author Distance Author ID: seneta.eugene Published as: Seneta, E.; Seneta, Eugene Homepage: http://www.maths.usyd.edu.au/ut/people%3Fwho%3DE_Seneta External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 226 Publications since 1965, including 7 Books and 4 Additional arXiv Preprints 2 Contributions as Editor · 3 Further Contributions Reviewing Activity: 163 Reviews Biographic References: 1 Publication Co-Authors: 69 Co-Authors with 126 Joint Publications 1,892 Co-Co-Authors all top 5 Co-Authors 101 single-authored 17 Fung, Thomas 8 Finlay, Richard 8 Heyde, Christopher Charles 7 Chen, Tuhao 5 Chen, John Tuhao 5 Jongmans, François 5 Vere-Jones, David 4 Hoppe, Fred M. 4 Ku, Simon F. 3 Bojanic, Ranko 3 Darroch, John N. 3 Galambos, Janos 3 Heathcote, Christopher R. 3 Madan, Dilip B. 3 Quine, Malcolm P. 2 Allen, Bronwyn 2 Anderssen, Robert Scott 2 Bru, Bernard 2 Buckley, M. J. 2 Gani, Joseph Mark 2 Gibson, Diana 2 Golub, Gene Howard 2 Hall, Peter Gavin 2 Hartfiel, Darald J. 2 Parshall, Karen Hunger 2 Ruskai, Mary Beth 2 Tavaré, Simon 2 Wang, Joanna J. J. 2 Weber, Neville C. 1 Aczél, János Dezső 1 Ahsanullah, Mohammad 1 Basawa, Ishwar V. 1 Basu, Asit P. 1 Berry, Geoffrey 1 Bingham, Michael S. 1 Bismut, Jean-Michel 1 Block, Henry W. 1 Bondesson, Lennart 1 Chatterjee, Samprit 1 Choi, Man-Duen 1 Cohen, Joel E. 1 Consul, Prem C. 1 Crepel, Pierre 1 Daley, Daryl John 1 Ding, Qin 1 Divis, Zita M. 1 Doeblin, Wolfgang 1 Drasin, David 1 Dubuc, Serge 1 Epps, Thomas Wake 1 Fienberg, Stephen Elliot 1 Föllmer, Hans 1 Godambe, Ashok V. 1 Gokhale, Dattaprabhakar Vinayak 1 Goldie, Charles M. 1 Gordon, F. S. 1 Gordon, P. S. 1 Govindarajulu, Zakkula 1 Gupta, Arjun Kumar 1 Gyires, Béla 1 Harrar, Solomon W. 1 Heyde, C. E. 1 Hudson, Irene Lena 1 Hwang, J. S. 1 Iosifescu, Marius 1 Isaacson, Dean L. 1 Ivanoff, B. Gail 1 Iwasa, Yoh 1 Janardan, Konanur G. 1 Jongmanns, François 1 Kagan, Abram Meerovich 1 Kaminsky, Kenneth S. 1 Kang, Kathy M. 1 Kemp, Adrienne W. 1 Kemp, C. David 1 Khatri, Chinubhai Ghelabhai 1 Kijima, Masaaki 1 Klebanov, Leo B. 1 Kotlarski, Ignacy Icchak 1 Kotz, Samuel 1 Lindvall, Torgny 1 Macaskill, Petra 1 Maller, Ross Arthur 1 Mandl, Petr 1 Mardia, Kanti V. 1 Nelson, Paul Irwin 1 Nevai, Paul G. 1 Neville, A. M. 1 Nummelin, Esa 1 Ord, John Keith 1 Patil, Ganapati P. 1 Pentony, Susan J. 1 Phipps, Mary C. 1 Prakasa Rao, B. L. S. 1 Puri, Prem S. 1 Rao, Calyampudi Radhakrishna 1 Ratnaparkhi, M. U. 1 Răuţu, Gheorghe 1 Recsei, Elaine 1 Rice, Adrian Clifford ...and 15 more Co-Authors all top 5 Serials 30 Journal of Applied Probability 13 International Statistical Review 12 Advances in Applied Probability 10 Statistics & Probability Letters 9 Linear Algebra and its Applications 7 The Australian Journal of Statistics 6 The Mathematical Scientist 5 Publications de l’Institut Mathématique. Nouvelle Série 5 Stochastic Processes and their Applications 5 Methodology and Computing in Applied Probability 4 Journal of Multivariate Analysis 4 Historia Mathematica 4 Journal of the Australian Mathematical Society 3 Archive for History of Exact Sciences 3 Bulletin of the Australian Mathematical Society 3 Mathematical Biosciences 3 Proceedings of the American Mathematical Society 3 Communications in Statistics. Theory and Methods 3 Journal of the Royal Statistical Society. Series B 3 Theory of Stochastic Processes 3 Proceedings of the Cambridge Philosophical Society 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Biology 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 The Annals of Probability 2 Biometrical Journal 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Statistical Science 2 Annales de la Société Scientifique de Bruxelles. Série I 2 Journal of the Australian Mathematical Society. Series A 2 Combinatorics, Probability and Computing 2 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 2 Springer Series in Statistics 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 Studia Mathematica 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Zastosowania Matematyki 1 Theory of Probability and its Applications 1 Annals of the Institute of Statistical Mathematics 1 The Australian Mathematical Society Gazette 1 Biometrika 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 Bulletin de la Société Royale des Sciences de Liège 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Journal of the American Statistical Association 1 Journal of Approximation Theory 1 Mathematische Zeitschrift 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Sankhyā. Series A. Methods and Techniques 1 Sankhyā. Series B. Methodological 1 Theoretical Population Biology 1 Journal of the Royal Statistical Society. Series A 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Operations Research Letters 1 Journal of Time Series Analysis 1 Probability and Mathematical Statistics 1 Probability Theory and Related Fields 1 Journal of Economics 1 Journal of Theoretical Probability 1 SIAM Journal on Matrix Analysis and Applications 1 Economics Letters 1 Aequationes Mathematicae 1 Communications in Statistics. Simulation and Computation 1 Computational Statistics and Data Analysis 1 Theory of Probability and Mathematical Statistics 1 Bernoulli 1 Australian & New Zealand Journal of Statistics 1 Journal of the Royal Statistical Society. Series A. Statistics in Society 1 International Journal of Theoretical and Applied Finance 1 Quantitative Finance 1 Lecture Notes in Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Studies in the History of Mathematics and Physical Sciences 1 Annals of Mathematical Statistics 1 Biometrische Zeitschrift all top 5 Fields 132 Probability theory and stochastic processes (60-XX) 70 Statistics (62-XX) 50 History and biography (01-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 16 Real functions (26-XX) 14 Numerical analysis (65-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Biology and other natural sciences (92-XX) 4 Combinatorics (05-XX) 4 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 188 Publications have been cited 3,627 times in 2,822 Documents Cited by ▼ Year ▼ Regularly varying functions. Zbl 0324.26002 Seneta, Eugene 641 1976 Non-negative matrices and Markov chains. 2nd ed. Zbl 0471.60001 Seneta, E. 522 1981 Non-negative matrices and Markov chains. Revised reprint of the 2nd ed. Zbl 1099.60004 Seneta, E. 385 2006 Non-negative matrices. An introduction to theory and applications. Zbl 0278.15011 Seneta, E. 198 1973 On quasi-stationary distributions on absorbing discrete-time finite Markov chains. Zbl 0134.34704 Darroch, J. N.; Seneta, E. 107 1965 A unified theory of regularly varying sequences. Zbl 0256.40002 Bojanic, Ranko; Seneta, Eugene 94 1973 On quasi-stationary distributions in absorbing continuous-time finite Markov chains. Zbl 0168.16303 Darroch, J. N.; Seneta, E. 87 1967 Regularly varying sequences. Zbl 0247.26002 Galambos, Janos; Seneta, E. 83 1973 On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states. Zbl 0147.36603 Seneta, E.; Vere-Jones, D. 79 1966 Regularly varying functions in the theory of simple branching processes. Zbl 0291.60043 Seneta, E. 62 1974 Coefficients of ergodicity: Structure and applications. Zbl 0406.60060 Seneta, E. 52 1979 Towards consensus: Some convergence theorems on repeated averaging. Zbl 0381.60056 Chatterjee, S.; Seneta, E. 49 1977 Estimation theory for growth and immigration rates in a multiplicative process. Zbl 0243.60047 Heyde, C. C.; Seneta, E. 45 1972 Fitting the variance-gamma model to financial data. Zbl 1058.91043 Seneta, Eugene 44 2004 Regularly varying functions. (Pravil’no menyayushchiesya funktsii). Transl. from the English by I. S. Shiganov. Transl. ed. by V. M. Zolotarev. Zbl 0563.26002 Seneta, E. 38 1985 Functional equations and the Galton-Watson process. Zbl 0183.46105 Seneta, E. 36 1969 On recent theorems concerning the supercritical Galton-Watson process. Zbl 0176.47603 Seneta, E. 34 1968 Slowly varying functions and asymptotic relations. Zbl 0222.26003 Bojanic, R.; Seneta, E. 33 1971 Perturbation of the statioary distribution measured by ergodicity coefficients. Zbl 0645.60070 Seneta, E. 31 1988 Computing the stationary distribution for infinite Markov chains. Zbl 0484.65086 Seneta, E. 28 1980 I. J. Bienayme. Statistical theory anticipated. Zbl 0371.01010 Heyde, C. E.; Seneta, E. 26 1977 Sensitivity analysis, ergodicity coefficients, and rank-one updates for finite Markov chains. Zbl 0744.60078 Seneta, E. 24 1991 Stationary-increment Student and variance-gamma processes. Zbl 1103.62103 Finlay, Richard; Seneta, Eugene 23 2006 On the historical development of the theory of finite inhomogeneous Markov chains. Zbl 0271.60074 Seneta, E. 21 1973 Augmented truncations of infinite stochastic matrices. Zbl 0628.15019 Gibson, Diana; Seneta, E. 21 1987 Finite approximations to infinite non-negative matrices. Zbl 0178.20602 Seneta, E. 21 1967 Relative entropy under mappings by stochastic matrices. Zbl 0764.60068 Cohen, Joel E.; Iwasa, Yoh; Rautu, Gh.; Ruskai, Mary Beth; Seneta, Eugene; Zbaganu, Gh. 21 1993 Sensitivity of finite Markov chains under perturbation. Zbl 0777.60065 Seneta, E. 20 1993 Option pricing with VG-like models. Zbl 1175.91178 Finlay, Richard; Seneta, Eugene 18 2008 A note on the supercritical Galton-Watson process with immigraiton. Zbl 0195.19202 Seneta, E. 17 1970 On the supercritical Galton-Watson process with immigration. Zbl 0209.48804 Seneta, E. 17 1970 Notes on ’Estimation theory for growth and immigration rates in a multiplicative process’. Zbl 0294.60063 Heyde, C. C.; Seneta, E. 16 1974 An explicit-limit theorem for the critical Galton-Watson process with immigration. Zbl 0198.52002 Seneta, E. 16 1970 Tail dependence for two skew \(t\) distributions. Zbl 1186.62069 Fung, Thomas; Seneta, Eugene 16 2010 Simulation of estimates using the empirical characteristic function. Zbl 0616.62033 Madan, D. B.; Seneta, E. 15 1987 Peaks and Eulerian numbers in a random sequence. Zbl 0845.60035 Warren, Di; Seneta, E. 15 1996 A refinement of two theorems in the theory of branching processes. Zbl 0166.14202 Heathcote, C. R.; Seneta, E.; Vere-Jones, D. 15 1967 The Galton-Watson process with mean one. Zbl 0178.19601 Seneta, E. 15 1967 Goodness-of-fit for a branching process with immigration using sample partial autocorrelations. Zbl 0682.62057 Mills, T. M.; Seneta, E. 14 1989 Finite approximations to infinite non-negative matrices. II: Refinements and applications. Zbl 0197.02802 Seneta, E. 14 1968 Analogues of classical limit theorems for the supercritical Galton-Watson process with immigration. Zbl 0224.60042 Heyde, C. C.; Seneta, E. 14 1971 The simple branching process with infinite mean. I. Zbl 0258.60058 Seneta, E. 13 1973 Statisticians of the centuries. Zbl 1016.01025 13 2001 Explicit forms for ergodicity coefficients and spectrum localization. Zbl 0594.15007 Seneta, E. 13 1984 Monotone infinite stochastic matrices and their augmented truncations. Zbl 0623.60089 Gibson, Diana; Seneta, E. 13 1987 On invariant measures for simple branching processes. Zbl 0215.53701 Seneta, E. 13 1971 On strong ergodicity of inhomogeneous products of finite stochastic matrices. Zbl 0256.60040 Seneta, E. 12 1973 On a problem of M. Jirina concerning continuous state branching processes. Zbl 0181.44002 Seneta, E.; Vere-Jones, D. 12 1969 The stationary distribution of a branching process allowing immigration: A remark on the critical case. Zbl 0157.26401 Seneta, E. 11 1968 On the limiting set of nonnegative matrix products. Zbl 0541.15009 Seneta, E. 11 1984 Skewed normal variance-mean models for asset pricing and the method of moments. Zbl 1131.62096 Tjetjep, Annelies; Seneta, Eugene 11 2006 The local limit theorem for the Galton-Watson process. Zbl 0332.60059 Dubuc, S.; Seneta, E. 10 1976 On the theory of Markov set-chains. Zbl 0814.60060 Hartfiel, D. J.; Seneta, E. 10 1994 On the asymptotic behaviour of subcritical branching processes with continuous state space. Zbl 0167.16801 Seneta, E.; Vere-Jones, D. 10 1968 Record times. Zbl 0276.60028 Galambos, Janos; Seneta, E. 9 1975 Markov and the birth of chain dependence theory. Zbl 0918.60008 Seneta, E. 9 1996 Quasi-stationary behaviour in the random walk with continuous time. Zbl 0147.16303 Seneta, E. 9 1966 The bivariate normal copula function is regularly varying. Zbl 1228.62060 Fung, Thomas; Seneta, Eugene 9 2011 Some results for quasi-stationary distributions of birth-death processes. Zbl 0738.60081 Kijima, Masaaki; Seneta, E. 9 1991 The genetic balance between random sampling and random population size. Zbl 0305.92009 Heyde, C. C.; Seneta, E. 8 1975 On the comparison of two observed frequencies. Zbl 1068.62507 Seneta, Eugene; Phipps, Mary C. 8 2001 Extending the multivariate generalised \(t\) and generalised \(VG\) distributions. Zbl 1182.62121 Fung, Thomas; Seneta, Eugene 8 2010 A gamma activity time process with noninteger parameter and self-similar limit. Zbl 1181.60053 Finlay, Richard; Seneta, Eugene 8 2007 Tail asymptotics for the bivariate skew normal. Zbl 1328.62364 Fung, Thomas; Seneta, Eugene 7 2016 A generalization of slowly varying functions. Zbl 0591.26004 Drasin, D.; Seneta, E. 7 1986 Convergence rate to a lower tail dependence coefficient of a skew-\(t\) distribution. Zbl 1352.62074 Fung, Thomas; Seneta, Eugene 7 2014 Sensitivity to perturbation of the stationary distribution: Some refinements. Zbl 0657.60096 Seneta, E. 7 1988 Mathematics, religion, and Marxism in the Soviet Union in the 1930s. Zbl 1085.01017 Seneta, Eugene 7 2004 The theory of non-negative matrices in a dynamic programming problem. Zbl 0185.08003 Mandl, P.; Seneta, E. 7 1969 A refinement of two theorems in the theory of branching processes. Zbl 0185.44902 Heathcote, C. R.; Seneta, E.; Vere-Jones, D. 7 1967 On the history of the strong law of large numbers and Boole’s inequality. Zbl 0744.01008 Seneta, E. 7 1992 The principle of truncations in applied probability. Zbl 0243.60038 Seneta, E. 7 1968 Computation of the stationary distribution of an infinite Markov matrix. Zbl 0248.60064 Golub, G. H.; Seneta, E. 7 1973 The central limit problem and linear least squares in pre-revolutionary Russia: The background. Zbl 0542.01003 Seneta, E. 7 1984 Autocorrelation functions. Zbl 1422.62281 Finlay, Richard; Fung, Thomas; Seneta, Eugene 7 2011 Simple stepwise tests of hypotheses and multiple comparisons. Zbl 1296.62124 Seneta, Eugene; Chen, John T. 6 2005 On explicit and Fréchet-optimal lower bounds. Zbl 1005.60039 Seneta, Eugene; Chen, John Tuhao 6 2002 Bortkiewicz’s data and the law of small numbers. Zbl 0622.62003 Quine, M. P.; Seneta, E. 6 1987 On Koenigs’ ratios for iterates of real functions. Zbl 0176.46101 Seneta, E. 6 1969 A limit theorem for the Galton-Watson process with immigration. Zbl 0188.51603 Quine, M. P.; Seneta, E. 6 1969 Spectrum localization by ergodicity coefficients for stochastic matrices. Zbl 0526.15013 Seneta, E. 6 1983 An interpretation of some aspects of Karamata’s theory of regular variation. Zbl 0267.26002 Seneta, E. 5 1973 Random fields with Pólya correlation structure. Zbl 1308.60066 Finlay, Richard; Seneta, Eugene 5 2014 Karamata’s characterization theorem, Feller, and regular variation in probability theory. Zbl 1088.60008 Seneta, E. 5 2002 Equivalence of certain entropy contraction coefficients. Zbl 0807.60064 Choi, Man-Duen; Ruskai, Mary Beth; Seneta, Eugene 5 1994 Quasi-stationary distributions and time-reversion in genetics. Zbl 0149.17401 Seneta, E. 5 1966 Inequalities for branching processes. Zbl 0166.14201 Heathcote, C. R.; Seneta, E. 5 1966 Modern probabilistic concepts in the work of E. Abbe and A. de Moivre. Zbl 0528.60003 Seneta, E. 5 1983 A tricentenary history of the law of large numbers. Zbl 1277.60005 Seneta, Eugene 5 2013 Computation of stationary measures for infinite Markov chains. Zbl 0386.60048 Allen, Bronwyn; Anderssen, R. S.; Seneta, E. 4 1977 Œuvres complètes – collected works. Edited by Marc Yor and Bernard Bru. With forewords by Jean-Michel Bismut and Hans Föllmer. With commentaries by Marius Iosifescu, Torgny Lindvall, David Mason, Esa Nummelin and Eugene Seneta. Zbl 1460.01019 Doeblin, Wolfgang 4 2020 Studies in the history of probability and statistics. XXXI: The simple branching process, a turning point test and a fundamental inequality: A historical note on I. J. Bienayme. Zbl 0256.01012 Heyde, C. C.; Seneta, E. 4 1972 Slowly varying functions in the Zygmund sense and generalized regular variation. Zbl 1414.26007 Seneta, Eugene 4 2019 A Bonferroni-type identity and permutation bounds. Zbl 0718.60012 Hoppe, Fred M.; Seneta, Eugene 4 1990 Bonferroni-type inequalities. Zbl 0626.60013 Recsei, Elaine; Seneta, E. 4 1987 Explicit forms for ergodicity coefficients of stochastic matrices. Zbl 0785.15012 Seneta, Eugene 4 1993 Duality between matrix variate \(t\) and matrix variate V.G. distributions. Zbl 1119.62048 Harrar, Solomon W.; Seneta, Eugene; Gupta, Arjun K. 4 2006 On asymptotic properties of sub-critical branching processes. Zbl 0164.47101 Seneta, E. 4 1968 Sequential criteria for irregular variation. Zbl 0229.26004 Seneta, E. 4 1971 The Euclidean and Frobenius ergodicity coefficients and spectrum localization. Zbl 0549.15011 Seneta, E.; Tan, Choon Peng 4 1984 Tail asymptotics for the bivariate equi-skew generalized hyperbolic distribution and its variance-gamma special case. Zbl 1473.62193 Fung, Thomas; Seneta, Eugene 1 2021 Œuvres complètes – collected works. Edited by Marc Yor and Bernard Bru. With forewords by Jean-Michel Bismut and Hans Föllmer. With commentaries by Marius Iosifescu, Torgny Lindvall, David Mason, Esa Nummelin and Eugene Seneta. Zbl 1460.01019 Doeblin, Wolfgang 4 2020 Slowly varying functions in the Zygmund sense and generalized regular variation. Zbl 1414.26007 Seneta, Eugene 4 2019 Quantile function expansion using regularly varying functions. Zbl 1411.60020 Fung, Thomas; Seneta, Eugene 3 2018 The cosine series and regular variation in the Karamata and Zygmund senses. Zbl 1488.42030 Bojanić, Ranko; Seneta, Eugene 2 2018 In memoriam: Ranko Bojanic November 12, 1924-February 21, 2017. Zbl 1387.01013 Divis, Zita M.; Nevai, Paul; Seneta, Eugene 1 2018 The weak law of large numbers for nonnegative summands. Zbl 1431.60027 Seneta, Eugene 1 2018 A scalar-valued infinitely divisible random field with Pólya autocorrelation. Zbl 1356.60081 Finlay, Richard; Seneta, Eugene 1 2017 Tail asymptotics for the bivariate skew normal. Zbl 1328.62364 Fung, Thomas; Seneta, Eugene 7 2016 Markov chains as models in statistical mechanics. Zbl 1442.62764 Seneta, Eugene 1 2016 In memoriam: François Jongmans (1921–2014), mathematical historian. Zbl 1332.01060 Seneta, Eugene 1 2015 Convergence rate to a lower tail dependence coefficient of a skew-\(t\) distribution. Zbl 1352.62074 Fung, Thomas; Seneta, Eugene 7 2014 Random fields with Pólya correlation structure. Zbl 1308.60066 Finlay, Richard; Seneta, Eugene 5 2014 Inhomogeneous Markov chains and ergodicity coefficients: John Hajnal (1924–2008). Zbl 1295.60006 Seneta, Eugene 1 2014 A tricentenary history of the law of large numbers. Zbl 1277.60005 Seneta, Eugene 5 2013 An inverse gamma activity time process with noninteger parameters and a self-similar limit. Zbl 1255.60056 Finlay, Richard; Seneta, Eugene; Wang, Dingcheng 4 2012 Gumbel’s Identity, binomial moments, and Bonferroni sums. Zbl 1415.60023 Hoppe, Fred M.; Seneta, Eugene 1 2012 A generalized hyperbolic model for a risky asset with dependence. Zbl 1471.91566 Finlay, Richard; Seneta, Eugene 1 2012 The bivariate normal copula function is regularly varying. Zbl 1228.62060 Fung, Thomas; Seneta, Eugene 9 2011 Autocorrelation functions. Zbl 1422.62281 Finlay, Richard; Fung, Thomas; Seneta, Eugene 7 2011 Tail dependence and skew distributions. Zbl 1278.62089 Fung, Thomas; Seneta, Eugene 4 2011 Tail dependence for two skew \(t\) distributions. Zbl 1186.62069 Fung, Thomas; Seneta, Eugene 16 2010 Extending the multivariate generalised \(t\) and generalised \(VG\) distributions. Zbl 1182.62121 Fung, Thomas; Seneta, Eugene 8 2010 Option pricing with VG-like models. Zbl 1175.91178 Finlay, Richard; Seneta, Eugene 18 2008 A characterisation of scale mixtures of the uniform distribution. Zbl 1148.62033 Fung, Thomas; Seneta, Eugene 3 2008 In vino veritas, in dolio calamitas. (With an appendix by E. Seneta). Zbl 1151.51010 Jongmanns, François 1 2008 Obituary: Christopher Charles Heyde AM, DSc, FAA, FASSA. Zbl 1149.60301 Gani, Joe; Seneta, Eugene 1 2008 A gamma activity time process with noninteger parameter and self-similar limit. Zbl 1181.60053 Finlay, Richard; Seneta, Eugene 8 2007 Tailweight, quantiles and kurtosis: A study of competing distributions. Zbl 1120.62012 Fung, Thomas; Seneta, Eugene 4 2007 Non-negative matrices and Markov chains. Revised reprint of the 2nd ed. Zbl 1099.60004 Seneta, E. 385 2006 Stationary-increment Student and variance-gamma processes. Zbl 1103.62103 Finlay, Richard; Seneta, Eugene 23 2006 Skewed normal variance-mean models for asset pricing and the method of moments. Zbl 1131.62096 Tjetjep, Annelies; Seneta, Eugene 11 2006 Duality between matrix variate \(t\) and matrix variate V.G. distributions. Zbl 1119.62048 Harrar, Solomon W.; Seneta, Eugene; Gupta, Arjun K. 4 2006 A Fréchet-optimal strengthening of the Dawson-Sankoff lower bound. Zbl 1106.60025 Chen, John T.; Seneta, Eugene 1 2006 Normal characterization by zero correlations. Zbl 1106.60017 Seneta, Eugene; Szekely, Gabor J. 1 2006 Simple stepwise tests of hypotheses and multiple comparisons. Zbl 1296.62124 Seneta, Eugene; Chen, John T. 6 2005 The problem of the broken rod and Ernesto Cesàro’s early work in probability. Zbl 1084.60004 Seneta, Eugene; Jongmans, François 1 2005 De Morgan in the prehistory of statistical hypothesis testing. Zbl 1119.62002 Rice, Adrian; Seneta, Eugene 1 2005 Fitting the variance-gamma model to financial data. Zbl 1058.91043 Seneta, Eugene 44 2004 Mathematics, religion, and Marxism in the Soviet Union in the 1930s. Zbl 1085.01017 Seneta, Eugene 7 2004 Statistical regularity and free will: L.A.J. Quetelet and P.A. Nekrasov. Zbl 1114.62302 Seneta, Eugene 2 2003 On explicit and Fréchet-optimal lower bounds. Zbl 1005.60039 Seneta, Eugene; Chen, John Tuhao 6 2002 Karamata’s characterization theorem, Feller, and regular variation in probability theory. Zbl 1088.60008 Seneta, E. 5 2002 Statisticians of the centuries. Zbl 1016.01025 13 2001 On the comparison of two observed frequencies. Zbl 1068.62507 Seneta, Eugene; Phipps, Mary C. 8 2001 Characterization by orthogonal polynomial systems of finite Markov chains. Zbl 1019.60070 Seneta, E. 3 2001 Nineteenth-century developments in geometric probability: J. J. Sylvester, M. W. Crofton, J.-É. Barbier, and J. Bertrand. Zbl 1160.01313 Seneta, Eugene; Hunger Parshall, Karen; Jongmans, François 3 2001 M. V. Ostrogradskij as probabilist. Zbl 0989.01023 Seneta, E. 1 2001 A refinement of multivariate Bonferroni-type inequalities. Zbl 0964.60020 Chen, Tuhao; Seneta, E. 1 2000 Multivariate Sobel-Uppuluri-Galambos-type bounds. Zbl 0973.60017 Seneta, E.; Chen, John T. 1 2000 Adjustment to Lancaster’s mid-\(P\). Zbl 0956.62017 Seneta, Eugene; Berry, Geoffrey; Macaskill, Petra 2 1999 Early influences on probability and statistics in the Russian empire. Zbl 0917.01019 Seneta, E. 3 1998 I. J. Bienaymé (1796-1878): criticality, inequality, and internationalization. Zbl 1065.62500 Seneta, E. 2 1998 Practical estimation from the sum of AR(1) processes. Zbl 0919.62108 Ku, S.; Seneta, E. 2 1998 Complementation in stochastic matrices and the GTH algorithm. Zbl 0916.60062 Seneta, E. 2 1998 Building an international reputation: The case of J. J. Sylvester (1814-1897). Zbl 0872.01011 Parshall, Karen Hunger; Seneta, Eugene 3 1997 M. Krawtchouk (1892-1942) – Professor of mathematical statistics. Zbl 0932.01037 Seneta, Eugene 2 1997 A sequentially rejective test procedure. Zbl 0928.62062 Seneta, Eugene; Chen, Tuhao 2 1997 Peaks and Eulerian numbers in a random sequence. Zbl 0845.60035 Warren, Di; Seneta, E. 15 1996 Markov and the birth of chain dependence theory. Zbl 0918.60008 Seneta, E. 9 1996 Quenouille-type theorem on autocorrelations. Zbl 1121.62536 Ku, Simon; Seneta, Eugene 3 1996 Multivariate Bonferroni-type lower bounds. Zbl 0865.60013 Chen, Tuhao; Seneta, E. 1 1996 Fréchet optimality of upper bivariate Bonferroni-type bounds. Zbl 0941.60037 Seneta, Eugene; Chen, Tuhao 1 1995 A note on bivariate Dawson-Sankoff-type bounds. Zbl 0833.60021 Chen, Tuhao; Seneta, E. 1 1995 On the theory of Markov set-chains. Zbl 0814.60060 Hartfiel, D. J.; Seneta, E. 10 1994 Equivalence of certain entropy contraction coefficients. Zbl 0807.60064 Choi, Man-Duen; Ruskai, Mary Beth; Seneta, Eugene 5 1994 Carl Liebermeister’s hypergeometric tails. Zbl 0813.01006 Seneta, E. 3 1994 A probabilistic “new principle” of the 19th century. Zbl 0802.01003 Jongmans, François; Seneta, Eugene 2 1994 The number of peaks in a stationary sample and orthant probabilities. Zbl 0807.62069 Ku, Simon; Seneta, Eugene 2 1994 Relative entropy under mappings by stochastic matrices. Zbl 0764.60068 Cohen, Joel E.; Iwasa, Yoh; Rautu, Gh.; Ruskai, Mary Beth; Seneta, Eugene; Zbaganu, Gh. 21 1993 Sensitivity of finite Markov chains under perturbation. Zbl 0777.60065 Seneta, E. 20 1993 Explicit forms for ergodicity coefficients of stochastic matrices. Zbl 0785.15012 Seneta, Eugene 4 1993 The Bienaymé family history from archival materials and background to the turning-point test. Zbl 0792.01023 Jongmans, François; Seneta, Eugene 2 1993 Ergodicity for products of infinite stochastic matrices. Zbl 0774.60013 Seneta, E. 2 1993 Applications of ergodicity coefficients to homogeneous Markov chains. Zbl 0784.60065 Seneta, E. 1 1993 Probability inequalities and Dunnett’s test. Zbl 0828.62060 Seneta, Eugene 1 1993 On the history of the strong law of large numbers and Boole’s inequality. Zbl 0744.01008 Seneta, E. 7 1992 I. J. Bienaymé: Family information and proof of the criticality theorem. Zbl 0759.01003 Bru, Bernard; Jongmans, François; Seneta, Eugene 1 1992 Sensitivity analysis, ergodicity coefficients, and rank-one updates for finite Markov chains. Zbl 0744.60078 Seneta, E. 24 1991 Some results for quasi-stationary distributions of birth-death processes. Zbl 0738.60081 Kijima, Masaaki; Seneta, E. 9 1991 Independence of partial autocorrelations for a classical immigration branching process. Zbl 0736.62069 Mills, T. M.; Seneta, E. 4 1991 A Bonferroni-type identity and permutation bounds. Zbl 0718.60012 Hoppe, Fred M.; Seneta, Eugene 4 1990 Bonferroni-type inequalities and the methods of indicators and polynomials. Zbl 0701.60013 Hoppe, Fred M.; Seneta, Eugene 3 1990 Karamata’s iteration theorem and normed regularly varying sequences in a historical light. Zbl 0731.26003 Seneta, E. 3 1990 A note on semigroups of regular stochastic matrices. Zbl 0712.15015 Hartfiel, D. J.; Seneta, E. 2 1990 On the monotonicity of the labour-capital ratio in Sraffa’s model. Zbl 0693.90015 Madan, Dilip; Seneta, Eugene 2 1990 Goodness-of-fit for a branching process with immigration using sample partial autocorrelations. Zbl 0682.62057 Mills, T. M.; Seneta, E. 14 1989 Perturbation of the statioary distribution measured by ergodicity coefficients. Zbl 0645.60070 Seneta, E. 31 1988 Sensitivity to perturbation of the stationary distribution: Some refinements. Zbl 0657.60096 Seneta, E. 7 1988 Degree, iteration and permutation in improving Bonferroni-type bounds. Zbl 0659.60032 Seneta, E. 2 1988 Products of independent, normally attracted random variables. Zbl 0627.60029 Hall, Peter; Seneta, Eugene 1 1988 Augmented truncations of infinite stochastic matrices. Zbl 0628.15019 Gibson, Diana; Seneta, E. 21 1987 Simulation of estimates using the empirical characteristic function. Zbl 0616.62033 Madan, D. B.; Seneta, E. 15 1987 Monotone infinite stochastic matrices and their augmented truncations. Zbl 0623.60089 Gibson, Diana; Seneta, E. 13 1987 Bortkiewicz’s data and the law of small numbers. Zbl 0622.62003 Quine, M. P.; Seneta, E. 6 1987 Bonferroni-type inequalities. Zbl 0626.60013 Recsei, Elaine; Seneta, E. 4 1987 Chuprov on finite exchangeability, expectation of ratios, and measures of association. Zbl 0628.01023 Seneta, E. 2 1987 A generalization of slowly varying functions. Zbl 0591.26004 Drasin, D.; Seneta, E. 7 1986 Modelling examination marks. Zbl 0593.62058 Daley, D. J.; Seneta, E. 1 1986 An inequality from genetics. Zbl 0605.60021 Seneta, E. 1 1986 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,210 Authors 76 Seneta, Eugene 34 Kirkland, Stephen J. 30 Slaoui, Yousri 23 Leonenko, Nikolai N. 23 Neumann, Michael 20 Djurčić, Dragan Ž. 20 Hartfiel, Darald J. 20 Omey, Edward 19 Vatutin, Vladimir Alekseevich 18 Evtukhov, Vyacheslav Mikhaĭlovich 18 Pakes, Anthony G. 17 Pollett, Philip K. 15 Yakymiv, Arsen Lubomirovich 14 Mâagli, Habib 14 Řehák, Pavel 14 Zhao, Yiqiang Q. 12 Kočinac, Ljubiša D. R. 12 Meerschaert, Mark Marvin 12 Mukhamedov, Farruh Maksutovich 12 Wu, Qunying 11 Cîrstea, Florica-Corina Şt. 11 Clancy, Damian 11 Fung, Thomas 11 Li, Junping 11 Martinez Aguilera, Servet 11 Miyazawa, Masakiyo 11 Murach, Aleksandr A. 11 Resnick, Sidney Ira 11 Woess, Wolfgang 10 Bingham, Nicholas Hugh 10 Drozhzhinov, Yuriĭ Nikolaevich 10 Huang, Shuibo 10 Rahimov, Ibrahim 10 Taylor, Peter Gerrard 10 Žižović, Mališa R. 9 Cohen, Joel E. 9 Hautphenne, Sophie 9 He, Qi-Ming 9 Imomov, Azam Abdurakhimovich 9 Latouche, Guy 9 Los, Valerii M. 9 Masuyama, Hiroyuki 9 Mi, Ling 9 Nazarov, Alexander I. 9 Palmowski, Zbigniew 9 Tian, Qiaoyu 9 Tuljapurkar, Shripad D. 9 Zav’yalov, Boris Ivanovich 8 Bachar, Imed 8 Cavazos-Cadena, Rolando 8 Diaconis, Persi Warren 8 Liu, Yuanyuan 8 Manojlović, Jelena V. 8 Moler, José Antonio 8 Pelletier, Mariane 8 Plo, Fernando 8 Raeburn, Iain 8 Scheffler, Hans-Peter 8 Vassiliou, Panagiotis C. G. 8 Vindas, Jasson 8 Weiß, Christian H. 7 Abbes, Samy 7 an Huef, Astrid 7 Athreya, Krishna Balasundaram 7 Cohn, Harry 7 Finlay, Richard 7 Fu, James C. 7 Goldwurm, Massimiliano 7 Gonzalez-Velasco, Miguel 7 Heyde, Christopher Charles 7 Hoppe, Fred M. 7 Martínez, Rodrigo 7 Olenko, Andriy Yakovych 7 Pilipović, Stevan 7 San Miguel, Miguel 7 Taufer, Emanuele 7 Tuncel, Selim 7 Wan, Haitao 7 Zhang, Mei 6 Artalejo, Jesus R. 6 Baumann, Hendrik 6 Cadena, Meitner 6 Chen, John Tuhao 6 Ferrari, Pablo Augusto 6 Gaunt, Robert Edward 6 Groisman, Pablo 6 Ivanov, Roman V. 6 Laca, Marcelo 6 Li, Yuqiang 6 Mairesse, Jean 6 Mokkadem, Abdelkader 6 Mota, Manuel 6 Ren, Yanxia 6 Saburov, Mansoor 6 Sagitov, Serik 6 San Martín, Jaime 6 Sedletskiĭ, Anatoliĭ Mechislavovich 6 Sgibnev, Mikhaĭl Sergeevich 6 Shang, Yilun 6 Sims, Aidan ...and 3,110 more Authors all top 5 Cited in 517 Serials 141 Linear Algebra and its Applications 118 Stochastic Processes and their Applications 74 Journal of Mathematical Analysis and Applications 71 Statistics & Probability Letters 59 Journal of Applied Probability 46 Advances in Applied Probability 43 Mathematical Biosciences 42 Journal of Mathematical Sciences (New York) 39 The Annals of Applied Probability 38 Journal of Mathematical Biology 33 Ukrainian Mathematical Journal 33 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 32 Journal of Statistical Planning and Inference 32 Transactions of the American Mathematical Society 31 Theoretical Population Biology 30 Mathematical Notes 30 Probability Theory and Related Fields 29 Journal of Statistical Physics 29 Journal of Theoretical Probability 29 Queueing Systems 29 Communications in Statistics. 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Mathematics 8 Physica A 8 Advances in Mathematics 8 Journal of Time Series Analysis 8 Acta Mathematica Hungarica 8 Statistical Science 8 Aequationes Mathematicae 8 International Journal of Theoretical and Applied Finance 8 Boundary Value Problems 8 Proceedings of the Steklov Institute of Mathematics 7 Applicable Analysis 7 Journal of the Franklin Institute 7 International Statistical Review 7 Mathematische Nachrichten 7 Mathematische Zeitschrift 7 SIAM Journal on Matrix Analysis and Applications 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 7 Theory of Probability and Mathematical Statistics 7 Integral Transforms and Special Functions 7 Mathematical Population Studies 7 Abstract and Applied Analysis 7 Extremes 7 Brazilian Journal of Probability and Statistics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Mediterranean Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 The Canadian Journal of Statistics ...and 417 more Serials all top 5 Cited in 58 Fields 1,425 Probability theory and stochastic processes (60-XX) 449 Statistics (62-XX) 256 Linear and multilinear algebra; matrix theory (15-XX) 228 Biology and other natural sciences (92-XX) 192 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 190 Operations research, mathematical programming (90-XX) 162 Combinatorics (05-XX) 150 Dynamical systems and ergodic theory (37-XX) 138 Partial differential equations (35-XX) 135 Numerical analysis (65-XX) 135 Computer science (68-XX) 132 Ordinary differential equations (34-XX) 120 Real functions (26-XX) 116 Operator theory (47-XX) 100 Systems theory; control (93-XX) 82 Functional analysis (46-XX) 79 Measure and integration (28-XX) 67 Statistical mechanics, structure of matter (82-XX) 55 History and biography (01-XX) 53 Functions of a complex variable (30-XX) 50 Sequences, series, summability (40-XX) 44 Number theory (11-XX) 44 Difference and functional equations (39-XX) 34 Information and communication theory, circuits (94-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 27 Group theory and generalizations (20-XX) 22 Approximations and expansions (41-XX) 22 Integral transforms, operational calculus (44-XX) 21 Potential theory (31-XX) 20 Quantum theory (81-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Integral equations (45-XX) 14 Convex and discrete geometry (52-XX) 14 General topology (54-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Special functions (33-XX) 8 Mathematical logic and foundations (03-XX) 8 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 8 Abstract harmonic analysis (43-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 General and overarching topics; collections (00-XX) 7 Associative rings and algebras (16-XX) 7 Manifolds and cell complexes (57-XX) 5 Geometry (51-XX) 4 Algebraic geometry (14-XX) 4 Mechanics of deformable solids (74-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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