Edit Profile (opens in new tab) Billingsley, Patrick Paul (b. 1925 d. 2011) Co-Author Distance Author ID: billingsley.patrick Published as: Billingsley, Patrick; Billingsley, P. External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 37 Publications since 1956, including 15 Books Co-Authors: 7 Co-Authors with 9 Joint Publications 36 Co-Co-Authors all top 5 Co-Authors 28 single-authored 5 Huntsberger, David V. 2 Croft, D. James 1 Baum, Leonard E. 1 Henningsen, Inge 1 Topsøe, Flemming 1 Watson, Collin J. 1 Wichura, Michael J. all top 5 Serials 5 Annals of Mathematical Statistics 3 American Mathematical Monthly 3 The Annals of Probability 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Wiley Series in Probability and Mathematical Statistics 2 Illinois Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Wiley Series in Probability and Statistics all top 5 Fields 14 Probability theory and stochastic processes (60-XX) 8 Measure and integration (28-XX) 6 Number theory (11-XX) 6 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 10,766 times in 10,269 Documents Cited by ▼ Year ▼ Convergence of probability measures. Zbl 0172.21201 Billingsley, Patrick 5,335 1968 Convergence of probability measures. 2nd ed. Zbl 0944.60003 Billingsley, Patrick 1,549 1999 Probability and measure. 3rd ed. Zbl 0822.60002 Billingsley, Patrick 1,530 1995 Probability and measure. 2nd ed. Zbl 0649.60001 Billingsley, Patrick 537 1986 Ergodic theory and information. Zbl 0141.16702 Billingsley, P. 478 1965 Probability and measure. Zbl 0411.60001 Billingsley, Patrick 308 1979 The Lindeberg-Levy theorem for martingales. Zbl 0129.10701 Billingsley, P. 194 1961 Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201 Billingsley, Patrick 169 1961 Probability and measure. Anniversary edition. Zbl 1236.60001 Billingsley, Patrick 113 2012 Weak convergence of measures: Applications in probability. Zbl 0271.60009 Billingsley, Patrick 113 1971 Statistical methods in Markov chains. Zbl 0104.12802 Billingsley, Patrick 101 1961 Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301 Billingsley, Patrick 62 1969 Hausdorff dimension in probability theory. I, II. Zbl 0098.10602 Billingsley, Patrick 50 1960 Uniformity in weak convergence. Zbl 0147.15701 Billingsley, P.; Topsoe, F. 48 1967 On the distribution of large prime divisors. Zbl 0242.10033 Billingsley, P. 26 1972 The probability theory of additive arithmetic functions. Zbl 0327.10055 Billingsley, Patrick 23 1974 Convergence of types in \(k\)-space. Zbl 0152.17102 Billingsley, P. 20 1966 The invariance principle for dependent random variables. Zbl 0075.13703 Billingsley, Patrick 19 1956 Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014 Billingsley, Patrick 19 1982 Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010 Baum, Leonard E.; Billingsley, Patrick 18 1965 On the central limit theorem for the prime divisor function. Zbl 0182.07401 Billingsley, P. 12 1969 Limit theorems for randomly selected partial sums. Zbl 0113.12402 Billingsley, P. 8 1962 Prime numbers and Brownian motion. Zbl 0275.10029 Billingsley, Patrick 8 1973 Maxima of partial sums. Zbl 0181.44303 Billingsley, P. 6 1969 Conditional distributions and tightness. Zbl 0286.60003 Billingsley, Patrick 6 1974 Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042 Billingsley, Patrick; Henningsen, Inge 4 1975 Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605 Billingsley, Patrick 3 1956 On the coding theorem for the noiseless channel. Zbl 0114.33903 Billingsley, P. 3 1961 An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302 Billingsley, Patrick 3 1964 Elements of statistical inference. 4th ed. Zbl 0371.62001 Huntsberger, David V.; Billingsley, Patrick 1 1977 Probability and measure. Anniversary edition. Zbl 1236.60001 Billingsley, Patrick 113 2012 Convergence of probability measures. 2nd ed. Zbl 0944.60003 Billingsley, Patrick 1,549 1999 Probability and measure. 3rd ed. Zbl 0822.60002 Billingsley, Patrick 1,530 1995 Probability and measure. 2nd ed. Zbl 0649.60001 Billingsley, Patrick 537 1986 Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014 Billingsley, Patrick 19 1982 Probability and measure. Zbl 0411.60001 Billingsley, Patrick 308 1979 Elements of statistical inference. 4th ed. Zbl 0371.62001 Huntsberger, David V.; Billingsley, Patrick 1 1977 Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042 Billingsley, Patrick; Henningsen, Inge 4 1975 The probability theory of additive arithmetic functions. Zbl 0327.10055 Billingsley, Patrick 23 1974 Conditional distributions and tightness. Zbl 0286.60003 Billingsley, Patrick 6 1974 Prime numbers and Brownian motion. Zbl 0275.10029 Billingsley, Patrick 8 1973 On the distribution of large prime divisors. Zbl 0242.10033 Billingsley, P. 26 1972 Weak convergence of measures: Applications in probability. Zbl 0271.60009 Billingsley, Patrick 113 1971 Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301 Billingsley, Patrick 62 1969 On the central limit theorem for the prime divisor function. Zbl 0182.07401 Billingsley, P. 12 1969 Maxima of partial sums. Zbl 0181.44303 Billingsley, P. 6 1969 Convergence of probability measures. Zbl 0172.21201 Billingsley, Patrick 5,335 1968 Uniformity in weak convergence. Zbl 0147.15701 Billingsley, P.; Topsoe, F. 48 1967 Convergence of types in \(k\)-space. Zbl 0152.17102 Billingsley, P. 20 1966 Ergodic theory and information. Zbl 0141.16702 Billingsley, P. 478 1965 Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010 Baum, Leonard E.; Billingsley, Patrick 18 1965 An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302 Billingsley, Patrick 3 1964 Limit theorems for randomly selected partial sums. Zbl 0113.12402 Billingsley, P. 8 1962 The Lindeberg-Levy theorem for martingales. Zbl 0129.10701 Billingsley, P. 194 1961 Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201 Billingsley, Patrick 169 1961 Statistical methods in Markov chains. Zbl 0104.12802 Billingsley, Patrick 101 1961 On the coding theorem for the noiseless channel. Zbl 0114.33903 Billingsley, P. 3 1961 Hausdorff dimension in probability theory. I, II. Zbl 0098.10602 Billingsley, Patrick 50 1960 The invariance principle for dependent random variables. Zbl 0075.13703 Billingsley, Patrick 19 1956 Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605 Billingsley, Patrick 3 1956 all cited Publications top 5 cited Publications all top 5 Cited by 10,469 Authors 114 Laurinčikas, Antanas 47 Janson, Svante 47 Lee, Sangyeol 43 Horváth, Lajos 43 Peligrad, Magda 39 Whitt, Ward 35 Resnick, Sidney Ira 32 Berkes, István 32 Yin, Gang George 30 Samorodnitsky, Gennady Pinkhosovich 29 Macaitienė, Renata 28 Iksanov, Aleksander M. 26 Pang, Guodong 26 Wang, Dehui 25 Glynn, Peter W. 25 Mikosch, Thomas 25 Pardoux, Etienne 23 Taqqu, Murad S. 22 Fernández-Sánchez, Juan 22 Šiaučiūnas, Darius 21 Francq, Christian 21 Kabluchko, Zakhar A. 21 Kushner, Harold J. 21 Puri, Madan Lal 20 Basawa, Ishwar V. 20 Bouzebda, Salim 20 Sen, Pranab Kumar 19 Artstein, Zvi 19 Harel, Michel 19 Ling, Shiqing 19 Meerschaert, Mark Marvin 19 Minkevičius, Saulius 18 Komorowski, Tomasz 18 Volný, Dalibor 17 Ferger, Dietmar 17 Hušková, Marie 17 Kokoszka, Piotr S. 17 Sun, Yeneng 17 Surgailis, Donatas 17 Yang, Kai 17 Zhang, Li-Xin 16 Bai, Zhi-Dong 16 Merlevède, Florence 16 Zakoïan, Jean-Michel 15 Atar, Rami 15 Borkar, Vivek Shripad 15 Dehling, Herold G. 15 Dette, Holger 15 Diaz Carrillo, Manuel 15 Kifer, Yuri 15 Koul, Hira Lal 15 Limnios, Nikolaos 15 López-Díaz, Miguel 15 Marynych, Alexander V. 15 Prakasa Rao, B. L. S. 15 Račkauskas, Alfredas Yurgevich 14 Díaz-García, José Antonio 14 Hidalgo, Javier 14 Louchard, Guy 14 Phillips, Peter Charles Bonest 14 Soulier, Philippe 13 Davis, Richard A. 13 De Amo, Enrique 13 Dedecker, Jérôme 13 Lutz, Jack H. 13 Pap, Gyula 13 Philipp, Walter 13 Stute, Winfried 13 van der Hofstad, Remco W. 13 Wang, Yizao 13 Zwart, Bert P. 12 Albeverio, Sergio A. 12 Balan, Raluca M. 12 Cavaliere, Giuseppe 12 Denker, Manfred 12 Dombry, Clément 12 Faggionato, Alessandra 12 Fraiman, Ricardo 12 Mahmoud, Hosam M. 12 Nualart, David 12 Paulauskas, Vygantas Ionovič 12 Wu, Wei Biao 12 Yoshihara, Ken-ichi 12 Yüksel, Serdar 12 Zhang, Qing 12 Zhang, Yong 11 Afanas’ev, Valeriĭ Ivanovich 11 Bhattacharya, Rabi N. 11 Bingham, Nicholas Hugh 11 Bradley, Richard C. jun. 11 Bücher, Axel 11 Budhiraja, Amarjit S. 11 Durieu, Olivier 11 El Barmi, Hammou 11 Goldsman, David M. 11 Goldstein, Sheldon 11 Gorostiza, Luis G. 11 Grübel, Rudolf 11 Guillou, Armelle 11 Ivanov, Aleksandr Vladimirovich ...and 10,369 more Authors all top 5 Cited in 754 Serials 569 Stochastic Processes and their Applications 405 Statistics & Probability Letters 262 Journal of Statistical Planning and Inference 246 Journal of Multivariate Analysis 229 The Annals of Applied Probability 215 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 214 Journal of Econometrics 197 Probability Theory and Related Fields 177 The Annals of Probability 174 Communications in Statistics. Theory and Methods 159 Journal of Statistical Physics 155 Journal of Mathematical Analysis and Applications 155 The Annals of Statistics 153 Bernoulli 146 Journal of Theoretical Probability 133 Lithuanian Mathematical Journal 125 Journal of Applied Probability 116 Queueing Systems 113 Journal of Economic Theory 111 Annals of the Institute of Statistical Mathematics 105 Communications in Mathematical Physics 95 Electronic Journal of Probability 86 Transactions of the American Mathematical Society 83 Journal of Mathematical Economics 81 Advances in Applied Probability 78 Electronic Journal of Statistics 76 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 73 Stochastic Analysis and Applications 68 Metrika 67 Statistics 67 Computational Statistics and Data Analysis 60 Journal of Time Series Analysis 56 Theoretical Computer Science 56 Journal of Mathematical Sciences (New York) 56 Journal of Nonparametric Statistics 52 Proceedings of the American Mathematical Society 50 Advances in Mathematics 50 Econometric Theory 45 Random Structures & Algorithms 44 Economic Theory 43 Extremes 43 Probability in the Engineering and Informational Sciences 42 Israel Journal of Mathematics 42 Fuzzy Sets and Systems 42 Kybernetika 42 Methodology and Computing in Applied Probability 41 Journal of Statistical Computation and Simulation 41 Statistical Papers 40 Journal of Differential Equations 40 Journal of Soviet Mathematics 39 Stochastics 39 Physica D 38 Econometric Reviews 38 Test 37 Monatshefte für Mathematik 37 Games and Economic Behavior 36 Journal of Functional Analysis 35 Applied Mathematics and Optimization 35 Journal of Computational and Applied Mathematics 35 SIAM Journal on Control and Optimization 34 Journal of Mathematical Biology 34 Ukrainian Mathematical Journal 34 Operations Research Letters 34 Stochastics and Dynamics 33 European Journal of Operational Research 32 Mathematical Programming. Series A. Series B 32 Electronic Communications in Probability 32 Statistical Inference for Stochastic Processes 31 Mathematical Notes 31 Annals of Operations Research 31 Stochastic Models 31 ALEA. Latin American Journal of Probability and Mathematical Statistics 30 Scandinavian Journal of Statistics 30 Journal of Number Theory 30 Insurance Mathematics & Economics 30 Economics Letters 29 Communications in Statistics. Simulation and Computation 28 Journal of Optimization Theory and Applications 27 The Canadian Journal of Statistics 27 Mathematical Methods of Statistics 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Stochastics 26 Mathematische Nachrichten 26 Systems & Control Letters 25 Mathematische Zeitschrift 25 Sequential Analysis 25 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 25 Acta Mathematica Sinica. English Series 25 Journal of the Korean Statistical Society 24 Theory of Probability and its Applications 24 Automatica 24 Mathematical Social Sciences 24 Annales Henri Poincaré 23 Journal of Mathematical Physics 23 Physica A 23 Acta Mathematica Hungarica 23 Journal of Economic Dynamics & Control 23 Theory of Probability and Mathematical Statistics 22 Chaos, Solitons and Fractals 21 Information and Computation ...and 654 more Serials all top 5 Cited in 61 Fields 5,692 Probability theory and stochastic processes (60-XX) 3,373 Statistics (62-XX) 936 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 572 Operations research, mathematical programming (90-XX) 543 Measure and integration (28-XX) 500 Statistical mechanics, structure of matter (82-XX) 495 Numerical analysis (65-XX) 488 Dynamical systems and ergodic theory (37-XX) 462 Computer science (68-XX) 460 Number theory (11-XX) 413 Partial differential equations (35-XX) 340 Systems theory; control (93-XX) 326 Combinatorics (05-XX) 300 Biology and other natural sciences (92-XX) 191 Calculus of variations and optimal control; optimization (49-XX) 178 Functional analysis (46-XX) 159 Information and communication theory, circuits (94-XX) 151 Operator theory (47-XX) 133 Ordinary differential equations (34-XX) 129 Real functions (26-XX) 125 Quantum theory (81-XX) 115 Linear and multilinear algebra; matrix theory (15-XX) 110 General topology (54-XX) 107 Fluid mechanics (76-XX) 87 Mathematical logic and foundations (03-XX) 81 Functions of a complex variable (30-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 59 Approximations and expansions (41-XX) 47 Convex and discrete geometry (52-XX) 44 Special functions (33-XX) 43 Global analysis, analysis on manifolds (58-XX) 39 Differential geometry (53-XX) 37 Group theory and generalizations (20-XX) 34 Mechanics of particles and systems (70-XX) 31 Integral transforms, operational calculus (44-XX) 30 Difference and functional equations (39-XX) 29 Integral equations (45-XX) 28 Potential theory (31-XX) 24 Sequences, series, summability (40-XX) 24 Abstract harmonic analysis (43-XX) 23 Topological groups, Lie groups (22-XX) 22 Geophysics (86-XX) 21 Algebraic geometry (14-XX) 20 Manifolds and cell complexes (57-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 18 Algebraic topology (55-XX) 16 History and biography (01-XX) 16 Mechanics of deformable solids (74-XX) 12 General and overarching topics; collections (00-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Category theory; homological algebra (18-XX) 8 Optics, electromagnetic theory (78-XX) 5 Associative rings and algebras (16-XX) 5 Geometry (51-XX) 5 Astronomy and astrophysics (85-XX) 5 Mathematics education (97-XX) 4 Commutative algebra (13-XX) 3 Relativity and gravitational theory (83-XX) 2 Nonassociative rings and algebras (17-XX) 1 Field theory and polynomials (12-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.