Edit Profile (opens in new tab) Billingsley, Patrick Paul Compute Distance To: Compute 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 13 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 9,846 times in 9,387 Documents Cited by ▼ Year ▼ Convergence of probability measures. Zbl 0172.21201Billingsley, P. 5,010 1968 Probability and measure. 3rd ed. Zbl 0822.60002Billingsley, Patrick 1,354 1995 Convergence of probability measures. 2nd ed. Zbl 0944.60003Billingsley, Patrick 1,285 1999 Probability and measure. 2nd ed. Zbl 0649.60001Billingsley, Patrick 506 1986 Ergodic theory and information. Zbl 0141.16702Billingsley, P. 459 1965 Probability and measure. Zbl 0411.60001Billingsley, Patrick 290 1979 The Lindeberg-Levy theorem for martingales. Zbl 0129.10701Billingsley, P. 176 1961 Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201Billingsley, Patrick 160 1961 Weak convergence of measures: Applications in probability. Zbl 0271.60009Billingsley, Patrick 110 1971 Statistical methods in Markov chains. Zbl 0104.12802Billingsley, Patrick 98 1961 Probability and measure. Anniversary edition. Zbl 1236.60001Billingsley, Patrick 77 2012 Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301Billingsley, Patrick 63 1969 Hausdorff dimension in probability theory. I, II. Zbl 0098.10602Billingsley, Patrick 48 1960 Uniformity in weak convergence. Zbl 0147.15701Billingsley, P.; Topsoe, F. 45 1967 On the distribution of large prime divisors. Zbl 0242.10033Billingsley, P. 22 1972 The probability theory of additive arithmetic functions. Zbl 0327.10055Billingsley, Patrick 21 1974 Convergence of types in \(k\)-space. Zbl 0152.17102Billingsley, P. 20 1966 Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014Billingsley, Patrick 18 1982 The invariance principle for dependent random variables. Zbl 0075.13703Billingsley, Patrick 18 1956 Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010Baum, Leonard E.; Billingsley, Patrick 14 1965 On the central limit theorem for the prime divisor function. Zbl 0182.07401Billingsley, P. 10 1969 Prime numbers and Brownian motion. Zbl 0275.10029Billingsley, Patrick 8 1973 Limit theorems for randomly selected partial sums. Zbl 0113.12402Billingsley, P. 8 1962 Conditional distributions and tightness. Zbl 0286.60003Billingsley, Patrick 6 1974 Maxima of partial sums. Zbl 0181.44303Billingsley, P. 6 1969 Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042Billingsley, Patrick; Henningsen, Inge 4 1975 Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605Billingsley, Patrick 3 1956 On the coding theorem for the noiseless channel. Zbl 0114.33903Billingsley, P. 3 1961 An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302Billingsley, Patrick 3 1964 Elements of statistical inference. 4th ed. Zbl 0371.62001Huntsberger, David V.; Billingsley, Patrick 1 1977 Probability and measure. Anniversary edition. Zbl 1236.60001Billingsley, Patrick 77 2012 Convergence of probability measures. 2nd ed. Zbl 0944.60003Billingsley, Patrick 1,285 1999 Probability and measure. 3rd ed. Zbl 0822.60002Billingsley, Patrick 1,354 1995 Probability and measure. 2nd ed. Zbl 0649.60001Billingsley, Patrick 506 1986 Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014Billingsley, Patrick 18 1982 Probability and measure. Zbl 0411.60001Billingsley, Patrick 290 1979 Elements of statistical inference. 4th ed. Zbl 0371.62001Huntsberger, David V.; Billingsley, Patrick 1 1977 Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042Billingsley, Patrick; Henningsen, Inge 4 1975 The probability theory of additive arithmetic functions. Zbl 0327.10055Billingsley, Patrick 21 1974 Conditional distributions and tightness. Zbl 0286.60003Billingsley, Patrick 6 1974 Prime numbers and Brownian motion. Zbl 0275.10029Billingsley, Patrick 8 1973 On the distribution of large prime divisors. Zbl 0242.10033Billingsley, P. 22 1972 Weak convergence of measures: Applications in probability. Zbl 0271.60009Billingsley, Patrick 110 1971 Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301Billingsley, Patrick 63 1969 On the central limit theorem for the prime divisor function. Zbl 0182.07401Billingsley, P. 10 1969 Maxima of partial sums. Zbl 0181.44303Billingsley, P. 6 1969 Convergence of probability measures. Zbl 0172.21201Billingsley, P. 5,010 1968 Uniformity in weak convergence. Zbl 0147.15701Billingsley, P.; Topsoe, F. 45 1967 Convergence of types in \(k\)-space. Zbl 0152.17102Billingsley, P. 20 1966 Ergodic theory and information. Zbl 0141.16702Billingsley, P. 459 1965 Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010Baum, Leonard E.; Billingsley, Patrick 14 1965 An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302Billingsley, Patrick 3 1964 Limit theorems for randomly selected partial sums. Zbl 0113.12402Billingsley, P. 8 1962 The Lindeberg-Levy theorem for martingales. Zbl 0129.10701Billingsley, P. 176 1961 Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201Billingsley, Patrick 160 1961 Statistical methods in Markov chains. Zbl 0104.12802Billingsley, Patrick 98 1961 On the coding theorem for the noiseless channel. Zbl 0114.33903Billingsley, P. 3 1961 Hausdorff dimension in probability theory. I, II. Zbl 0098.10602Billingsley, Patrick 48 1960 The invariance principle for dependent random variables. Zbl 0075.13703Billingsley, Patrick 18 1956 Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605Billingsley, Patrick 3 1956 all cited Publications top 5 cited Publications all top 5 Cited by 9,638 Authors 110 Laurinčikas, Antanas 43 Horváth, Lajos 42 Janson, Svante 40 Lee, Sangyeol 39 Whitt, Ward 38 Peligrad, Magda 33 Resnick, Sidney Ira 32 Berkes, István 32 Yin, Gang George 29 Macaitienė, Renata 28 Samorodnitsky, Gennady Pinkhosovich 25 Iksanov, Aleksander M. 24 Mikosch, Thomas 23 Taqqu, Murad S. 22 Glynn, Peter W. 22 Pang, Guodong 22 Šiaučiūnas, Darius 22 Wang, Dehui 21 Kushner, Harold J. 21 Pardoux, Etienne 20 Basawa, Ishwar V. 20 Francq, Christian 19 Kabluchko, Zakhar A. 19 Meerschaert, Mark Marvin 19 Minkevičius, Saulius 18 Fernández-Sánchez, Juan 18 Ling, Shiqing 18 Sen, Pranab Kumar 17 Artstein, Zvi 17 Bouzebda, Salim 17 Harel, Michel 17 Hušková, Marie 17 Kokoszka, Piotr S. 17 Puri, Madan Lal 17 Sun, Yeneng 17 Surgailis, Donatas 17 Zhang, Li-Xin 16 Komorowski, Tomasz 16 Volný, Dalibor 15 Bai, Zhi-Dong 15 Kifer, Yuri 15 Koul, Hira Lal 15 Yang, Kai 15 Zakoïan, Jean-Michel 14 Atar, Rami 14 Dette, Holger 14 Ferger, Dietmar 14 Hidalgo, Javier 14 Limnios, Nikolaos 14 López-Díaz, Miguel 14 Louchard, Guy 14 Merlevède, Florence 14 Prakasa Rao, B. L. S. 14 Račkauskas, Alfredas Yurgevich 14 Soulier, Philippe 13 Díaz-García, José Antonio 13 Pap, Gyula 13 Philipp, Walter 13 Phillips, Peter Charles Bonest 13 Stute, Winfried 13 van der Hofstad, Remco W. 12 Albeverio, Sergio A. 12 Borkar, Vivek Shripad 12 Davis, Richard A. 12 Dehling, Herold G. 12 Denker, Manfred 12 Diaz Carrillo, Manuel 12 Mahmoud, Hosam M. 12 Paulauskas, Vygantas Ionovič 12 Wu, Wei Biao 12 Zhang, Qing 12 Zwart, Bert P. 11 Balan, Raluca M. 11 Bingham, Nicholas Hugh 11 De Amo, Enrique 11 Dedecker, Jérôme 11 Dombry, Clément 11 El Barmi, Hammou 11 Faggionato, Alessandra 11 Goldsman, David M. 11 Goldstein, Sheldon 11 Gorostiza, Luis G. 11 Grübel, Rudolf 11 Guillou, Armelle 11 Kallenberg, Olav 11 Liu, Wen 11 Marynych, Alexander V. 11 Nualart, David 11 Pan, Guangming 11 Pène, Françoise 11 Penrose, Mathew D. 11 Rachev, Svetlozar T. 11 Rahimov, Ibrahim 11 Shao, Xiaofeng 11 Talarczyk, Anna 11 Wang, Leyi 11 Woodroofe, Michael Barrett 11 Yoshihara, Ken-ichi 10 Afanas’ev, Valeriĭ Ivanovich 10 Aki, Sigeo ...and 9,538 more Authors all top 5 Cited in 716 Serials 524 Stochastic Processes and their Applications 395 Statistics & Probability Letters 258 Journal of Statistical Planning and Inference 217 The Annals of Applied Probability 215 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 199 Journal of Econometrics 185 Probability Theory and Related Fields 169 The Annals of Probability 164 Journal of Multivariate Analysis 164 Communications in Statistics. Theory and Methods 159 Journal of Statistical Physics 152 The Annals of Statistics 147 Journal of Mathematical Analysis and Applications 139 Journal of Theoretical Probability 137 Bernoulli 128 Lithuanian Mathematical Journal 119 Journal of Applied Probability 114 Queueing Systems 112 Journal of Economic Theory 109 Annals of the Institute of Statistical Mathematics 100 Communications in Mathematical Physics 85 Transactions of the American Mathematical Society 82 Journal of Mathematical Economics 77 Advances in Applied Probability 72 Electronic Journal of Statistics 71 Stochastic Analysis and Applications 70 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 67 Metrika 67 Electronic Journal of Probability 64 Statistics 64 Computational Statistics and Data Analysis 55 Journal of Nonparametric Statistics 51 Theoretical Computer Science 50 Proceedings of the American Mathematical Society 48 Journal of Mathematical Sciences (New York) 48 Econometric Theory 46 Advances in Mathematics 46 Journal of Time Series Analysis 43 Economic Theory 42 Kybernetika 41 Fuzzy Sets and Systems 40 Journal of Soviet Mathematics 40 Probability in the Engineering and Informational Sciences 39 Israel Journal of Mathematics 39 Stochastics 39 Statistical Papers 38 Journal of Statistical Computation and Simulation 38 Extremes 38 Methodology and Computing in Applied Probability 37 Journal of Differential Equations 37 Monatshefte für Mathematik 37 Econometric Reviews 36 Games and Economic Behavior 35 Test 33 Journal of Mathematical Biology 33 Journal of Functional Analysis 33 Physica D 33 Random Structures & Algorithms 33 European Journal of Operational Research 32 Ukrainian Mathematical Journal 32 Operations Research Letters 31 Mathematical Notes 31 Mathematical Programming. Series A. Series B 30 Annals of Operations Research 30 Economics Letters 29 Scandinavian Journal of Statistics 29 Journal of Computational and Applied Mathematics 29 Insurance Mathematics & Economics 29 Statistical Inference for Stochastic Processes 29 Stochastics and Dynamics 28 Applied Mathematics and Optimization 28 Stochastic Models 27 Journal of Optimization Theory and Applications 27 Mathematical Methods of Statistics 26 Journal of Number Theory 26 Electronic Communications in Probability 25 SIAM Journal on Control and Optimization 25 Sequential Analysis 25 Communications in Statistics. Simulation and Computation 25 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Mathematische Nachrichten 23 Mathematische Zeitschrift 23 Acta Mathematica Sinica. English Series 22 Chaos, Solitons and Fractals 22 Theory of Probability and its Applications 22 Acta Mathematica Hungarica 22 Journal of Economic Dynamics & Control 22 Theory of Probability and Mathematical Statistics 22 Stochastics 22 ALEA. Latin American Journal of Probability and Mathematical Statistics 21 The Canadian Journal of Statistics 21 Journal of Mathematical Physics 21 Physica A 21 Automatica 21 Systems & Control Letters 21 Annales Henri Poincaré 21 Journal of the Korean Statistical Society 20 Mathematical Social Sciences 20 Information and Computation ...and 616 more Serials all top 5 Cited in 61 Fields 5,195 Probability theory and stochastic processes (60-XX) 3,123 Statistics (62-XX) 855 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 538 Operations research, mathematical programming (90-XX) 508 Measure and integration (28-XX) 454 Numerical analysis (65-XX) 451 Statistical mechanics, structure of matter (82-XX) 432 Dynamical systems and ergodic theory (37-XX) 419 Computer science (68-XX) 418 Number theory (11-XX) 333 Partial differential equations (35-XX) 304 Systems theory; control (93-XX) 279 Combinatorics (05-XX) 274 Biology and other natural sciences (92-XX) 158 Functional analysis (46-XX) 155 Calculus of variations and optimal control; optimization (49-XX) 143 Information and communication theory, circuits (94-XX) 134 Operator theory (47-XX) 121 Ordinary differential equations (34-XX) 116 Quantum theory (81-XX) 112 Real functions (26-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 104 General topology (54-XX) 92 Fluid mechanics (76-XX) 79 Mathematical logic and foundations (03-XX) 75 Functions of a complex variable (30-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 50 Approximations and expansions (41-XX) 42 Special functions (33-XX) 38 Convex and discrete geometry (52-XX) 34 Group theory and generalizations (20-XX) 34 Differential geometry (53-XX) 34 Global analysis, analysis on manifolds (58-XX) 30 Integral transforms, operational calculus (44-XX) 28 Difference and functional equations (39-XX) 27 Mechanics of particles and systems (70-XX) 24 Potential theory (31-XX) 24 Abstract harmonic analysis (43-XX) 21 Integral equations (45-XX) 19 Topological groups, Lie groups (22-XX) 19 Sequences, series, summability (40-XX) 19 Geophysics (86-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Algebraic geometry (14-XX) 18 Manifolds and cell complexes (57-XX) 16 Algebraic topology (55-XX) 14 Mechanics of deformable solids (74-XX) 13 History and biography (01-XX) 9 General and overarching topics; collections (00-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Category theory; homological algebra (18-XX) 7 Optics, electromagnetic theory (78-XX) 5 Astronomy and astrophysics (85-XX) 5 Mathematics education (97-XX) 4 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-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. 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