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 41 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 9,396 times in 8,985 Documents Cited by ▼ Year ▼ Convergence of probability measures. Zbl 0172.21201Billingsley, P. 4,841 1968 Probability and measure. 3rd ed. Zbl 0822.60002Billingsley, Patrick 1,251 1995 Convergence of probability measures. 2nd ed. Zbl 0944.60003Billingsley, Patrick 1,173 1999 Probability and measure. 2nd ed. Zbl 0649.60001Billingsley, Patrick 493 1986 Ergodic theory and information. Zbl 0141.16702Billingsley, P. 450 1965 Probability and measure. Zbl 0411.60001Billingsley, Patrick 282 1979 The Lindeberg-Levy theorem for martingales. Zbl 0129.10701Billingsley, P. 167 1961 Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201Billingsley, Patrick 157 1961 Weak convergence of measures: Applications in probability. Zbl 0271.60009Billingsley, Patrick 107 1971 Statistical methods in Markov chains. Zbl 0104.12802Billingsley, Patrick 97 1961 Probability and measure. Anniversary edition. Zbl 1236.60001Billingsley, Patrick 69 2012 Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301Billingsley, Patrick 63 1969 Uniformity in weak convergence. Zbl 0147.15701Billingsley, P.; Topsoe, F. 44 1967 Hausdorff dimension in probability theory. I, II. Zbl 0098.10602Billingsley, Patrick 42 1960 On the distribution of large prime divisors. Zbl 0242.10033Billingsley, P. 21 1972 The probability theory of additive arithmetic functions. Zbl 0327.10055Billingsley, Patrick 20 1974 Convergence of types in \(k\)-space. Zbl 0152.17102Billingsley, P. 20 1966 The invariance principle for dependent random variables. Zbl 0075.13703Billingsley, Patrick 18 1956 Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014Billingsley, Patrick 16 1982 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. 9 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 Maxima of partial sums. Zbl 0181.44303Billingsley, P. 6 1969 Conditional distributions and tightness. Zbl 0286.60003Billingsley, Patrick 6 1974 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 69 2012 Convergence of probability measures. 2nd ed. Zbl 0944.60003Billingsley, Patrick 1,173 1999 Probability and measure. 3rd ed. Zbl 0822.60002Billingsley, Patrick 1,251 1995 Probability and measure. 2nd ed. Zbl 0649.60001Billingsley, Patrick 493 1986 Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014Billingsley, Patrick 16 1982 Probability and measure. Zbl 0411.60001Billingsley, Patrick 282 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 20 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. 21 1972 Weak convergence of measures: Applications in probability. Zbl 0271.60009Billingsley, Patrick 107 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. 9 1969 Maxima of partial sums. Zbl 0181.44303Billingsley, P. 6 1969 Convergence of probability measures. Zbl 0172.21201Billingsley, P. 4,841 1968 Uniformity in weak convergence. Zbl 0147.15701Billingsley, P.; Topsoe, F. 44 1967 Convergence of types in \(k\)-space. Zbl 0152.17102Billingsley, P. 20 1966 Ergodic theory and information. Zbl 0141.16702Billingsley, P. 450 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. 167 1961 Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201Billingsley, Patrick 157 1961 Statistical methods in Markov chains. Zbl 0104.12802Billingsley, Patrick 97 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 42 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 9,150 Authors 106 Laurinčikas, Antanas 42 Horváth, Lajos 39 Whitt, Ward 38 Lee, Sangyeol 37 Peligrad, Magda 36 Janson, Svante 33 Resnick, Sidney Ira 32 Berkes, István 32 Yin, Gang George 28 Samorodnitsky, Gennady Pinkhosovich 27 Macaitienė, Renata 24 Mikosch, Thomas 23 Iksanov, Aleksander M. 22 Glynn, Peter W. 22 Taqqu, Murad S. 21 Kushner, Harold J. 20 Basawa, Ishwar V. 20 Francq, Christian 20 Wang, Dehui 19 Meerschaert, Mark Marvin 19 Minkevičius, Saulius 19 Pang, Guodong 19 Šiaučiūnas, Darius 18 Kabluchko, Zakhar A. 18 Ling, Shiqing 18 Pardoux, Etienne 17 Artstein, Zvi 17 Fernández-Sánchez, Juan 17 Harel, Michel 17 Kokoszka, Piotr S. 17 Puri, Madan Lal 17 Sen, Pranab Kumar 17 Surgailis, Donatas 17 Zhang, Li-Xin 16 Bouzebda, Salim 16 Hušková, Marie 16 Komorowski, Tomasz 15 Bai, Zhi-Dong 15 Kifer, Yuri 15 Koul, Hira Lal 15 López-Díaz, Miguel 15 Sun, Yeneng 15 Volný, Dalibor 15 Zakoïan, Jean-Michel 14 Ferger, Dietmar 14 Louchard, Guy 14 Yang, Kai 13 Atar, Rami 13 Dette, Holger 13 Díaz-García, José Antonio 13 Hidalgo, Javier 13 Limnios, Nikolaos 13 Philipp, Walter 13 Prakasa Rao, B. L. S. 13 Račkauskas, Alfredas Yurgevich 13 Soulier, Philippe 13 Stute, Winfried 13 Wu, Wei Biao 12 Albeverio, Sergio A. 12 Borkar, Vivek Shripad 12 Davis, Richard A. 12 Dehling, Herold G. 12 Denker, Manfred 12 Mahmoud, Hosam M. 12 Merlevède, Florence 12 Pap, Gyula 12 Paulauskas, Vygantas Ionovič 12 Phillips, Peter Charles Bonest 12 van der Hofstad, Remco W. 12 Zhang, Qing 11 Balan, Raluca M. 11 Bingham, Nicholas Hugh 11 Dedecker, Jérôme 11 Diaz Carrillo, Manuel 11 Dombry, Clément 11 El Barmi, Hammou 11 Goldsman, David M. 11 Goldstein, Sheldon 11 Gorostiza, Luis G. 11 Grübel, Rudolf 11 Guillou, Armelle 11 Kallenberg, Olav 11 Liu, Wen 11 Penrose, Mathew D. 11 Rachev, Svetlozar T. 11 Rahimov, Ibrahim 11 Shao, Xiaofeng 11 Talarczyk, Anna 11 Wang, Leyi 11 Woodroofe, Michael Barrett 10 Afanas’ev, Valeriĭ Ivanovich 10 Aki, Sigeo 10 Aue, Alexander 10 Balder, Erik J. 10 Bradley, Richard C. jun. 10 Cai, Zongwu 10 Cavaliere, Giuseppe 10 De Amo, Enrique 10 Durieu, Olivier 10 Faggionato, Alessandra ...and 9,050 more Authors all top 5 Cited in 687 Serials 507 Stochastic Processes and their Applications 392 Statistics & Probability Letters 258 Journal of Statistical Planning and Inference 214 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 204 The Annals of Applied Probability 196 Journal of Econometrics 179 Probability Theory and Related Fields 165 The Annals of Probability 161 Communications in Statistics. Theory and Methods 156 Journal of Statistical Physics 156 Journal of Multivariate Analysis 146 The Annals of Statistics 145 Journal of Mathematical Analysis and Applications 134 Journal of Theoretical Probability 128 Bernoulli 126 Lithuanian Mathematical Journal 114 Journal of Applied Probability 112 Queueing Systems 111 Journal of Economic Theory 107 Annals of the Institute of Statistical Mathematics 97 Communications in Mathematical Physics 83 Transactions of the American Mathematical Society 78 Journal of Mathematical Economics 76 Advances in Applied Probability 70 Stochastic Analysis and Applications 70 Electronic Journal of Statistics 66 Metrika 63 Statistics 63 Computational Statistics and Data Analysis 62 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 55 Electronic Journal of Probability 53 Journal of Nonparametric Statistics 51 Theoretical Computer Science 49 Proceedings of the American Mathematical Society 47 Journal of Mathematical Sciences (New York) 46 Journal of Time Series Analysis 44 Econometric Theory 43 Advances in Mathematics 42 Kybernetika 42 Economic Theory 40 Fuzzy Sets and Systems 40 Journal of Soviet Mathematics 39 Stochastics 38 Israel Journal of Mathematics 37 Monatshefte für Mathematik 37 Journal of Statistical Computation and Simulation 37 Extremes 36 Games and Economic Behavior 36 Statistical Papers 36 Methodology and Computing in Applied Probability 35 Test 34 Econometric Reviews 33 Journal of Mathematical Biology 33 Journal of Functional Analysis 33 Random Structures & Algorithms 33 European Journal of Operational Research 32 Journal of Differential Equations 32 Physica D 32 Probability in the Engineering and Informational Sciences 31 Mathematical Notes 31 Ukrainian Mathematical Journal 31 Operations Research Letters 29 Scandinavian Journal of Statistics 29 Annals of Operations Research 29 Economics Letters 28 Applied Mathematics and Optimization 28 Statistical Inference for Stochastic Processes 27 Journal of Computational and Applied Mathematics 27 Journal of Optimization Theory and Applications 27 Insurance Mathematics & Economics 27 Mathematical Programming. Series A. Series B 27 Stochastic Models 26 Mathematical Methods of Statistics 26 Stochastics and Dynamics 25 Journal of Number Theory 25 Sequential Analysis 25 Electronic Communications in Probability 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 SIAM Journal on Control and Optimization 23 Acta Mathematica Sinica. English Series 22 Acta Mathematica Hungarica 21 The Canadian Journal of Statistics 21 Theory of Probability and its Applications 21 Systems & Control Letters 21 Journal of Economic Dynamics & Control 21 Theory of Probability and Mathematical Statistics 20 Journal of Mathematical Physics 20 Chaos, Solitons and Fractals 20 Annales Henri Poincaré 19 Mathematical Proceedings of the Cambridge Philosophical Society 19 Automatica 19 Scandinavian Actuarial Journal 19 Siberian Mathematical Journal 19 Mathematical Social Sciences 19 Acta Applicandae Mathematicae 19 Information and Computation 19 Communications in Statistics. Simulation and Computation ...and 587 more Serials all top 5 Cited in 61 Fields 4,981 Probability theory and stochastic processes (60-XX) 3,002 Statistics (62-XX) 818 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 517 Operations research, mathematical programming (90-XX) 487 Measure and integration (28-XX) 441 Numerical analysis (65-XX) 424 Statistical mechanics, structure of matter (82-XX) 412 Dynamical systems and ergodic theory (37-XX) 395 Computer science (68-XX) 394 Number theory (11-XX) 299 Partial differential equations (35-XX) 293 Systems theory; control (93-XX) 259 Biology and other natural sciences (92-XX) 250 Combinatorics (05-XX) 155 Functional analysis (46-XX) 146 Calculus of variations and optimal control; optimization (49-XX) 137 Information and communication theory, circuits (94-XX) 128 Operator theory (47-XX) 116 Ordinary differential equations (34-XX) 112 Quantum theory (81-XX) 106 Real functions (26-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 98 General topology (54-XX) 83 Fluid mechanics (76-XX) 76 Mathematical logic and foundations (03-XX) 68 Functions of a complex variable (30-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 49 Approximations and expansions (41-XX) 40 Special functions (33-XX) 35 Convex and discrete geometry (52-XX) 33 Differential geometry (53-XX) 32 Group theory and generalizations (20-XX) 32 Global analysis, analysis on manifolds (58-XX) 27 Difference and functional equations (39-XX) 27 Integral transforms, operational calculus (44-XX) 25 Mechanics of particles and systems (70-XX) 24 Potential theory (31-XX) 24 Abstract harmonic analysis (43-XX) 20 Integral equations (45-XX) 19 Sequences, series, summability (40-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Manifolds and cell complexes (57-XX) 18 Geophysics (86-XX) 17 Algebraic geometry (14-XX) 17 Topological groups, Lie groups (22-XX) 15 Algebraic topology (55-XX) 13 History and biography (01-XX) 12 Mechanics of deformable solids (74-XX) 8 General and overarching topics; collections (00-XX) 7 Category theory; homological algebra (18-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Optics, electromagnetic theory (78-XX) 5 Astronomy and astrophysics (85-XX) 4 Commutative algebra (13-XX) 3 Mathematics education (97-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-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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