## Billingsley, Patrick Paul

Compute Distance To:
 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
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### 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

30 Publications have been cited 9,645 times in 9,197 Documents Cited by Year
Convergence of probability measures. Zbl 0172.21201
Billingsley, P.
1968
Probability and measure. 3rd ed. Zbl 0822.60002
Billingsley, Patrick
1995
Convergence of probability measures. 2nd ed. Zbl 0944.60003
Billingsley, Patrick
1999
Probability and measure. 2nd ed. Zbl 0649.60001
Billingsley, Patrick
1986
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
1965
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
1979
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
1961
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
1971
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
1961
Probability and measure. Anniversary edition. Zbl 1236.60001
Billingsley, Patrick
2012
Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301
Billingsley, Patrick
1969
Hausdorff dimension in probability theory. I, II. Zbl 0098.10602
Billingsley, Patrick
1960
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
1967
On the distribution of large prime divisors. Zbl 0242.10033
Billingsley, P.
1972
The probability theory of additive arithmetic functions. Zbl 0327.10055
Billingsley, Patrick
1974
Convergence of types in $$k$$-space. Zbl 0152.17102
Billingsley, P.
1966
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
1956
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
1982
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
1965
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
1969
Prime numbers and Brownian motion. Zbl 0275.10029
Billingsley, Patrick
1973
Limit theorems for randomly selected partial sums. Zbl 0113.12402
Billingsley, P.
1962
Conditional distributions and tightness. Zbl 0286.60003
Billingsley, Patrick
1974
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
1969
Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042
Billingsley, Patrick; Henningsen, Inge
1975
Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605
Billingsley, Patrick
1956
On the coding theorem for the noiseless channel. Zbl 0114.33903
Billingsley, P.
1961
An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302
Billingsley, Patrick
1964
Elements of statistical inference. 4th ed. Zbl 0371.62001
Huntsberger, David V.; Billingsley, Patrick
1977
Probability and measure. Anniversary edition. Zbl 1236.60001
Billingsley, Patrick
2012
Convergence of probability measures. 2nd ed. Zbl 0944.60003
Billingsley, Patrick
1999
Probability and measure. 3rd ed. Zbl 0822.60002
Billingsley, Patrick
1995
Probability and measure. 2nd ed. Zbl 0649.60001
Billingsley, Patrick
1986
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
1982
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
1979
Elements of statistical inference. 4th ed. Zbl 0371.62001
Huntsberger, David V.; Billingsley, Patrick
1977
Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042
Billingsley, Patrick; Henningsen, Inge
1975
The probability theory of additive arithmetic functions. Zbl 0327.10055
Billingsley, Patrick
1974
Conditional distributions and tightness. Zbl 0286.60003
Billingsley, Patrick
1974
Prime numbers and Brownian motion. Zbl 0275.10029
Billingsley, Patrick
1973
On the distribution of large prime divisors. Zbl 0242.10033
Billingsley, P.
1972
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
1971
Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301
Billingsley, Patrick
1969
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
1969
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
1969
Convergence of probability measures. Zbl 0172.21201
Billingsley, P.
1968
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
1967
Convergence of types in $$k$$-space. Zbl 0152.17102
Billingsley, P.
1966
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
1965
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
1965
An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302
Billingsley, Patrick
1964
Limit theorems for randomly selected partial sums. Zbl 0113.12402
Billingsley, P.
1962
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
1961
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
1961
On the coding theorem for the noiseless channel. Zbl 0114.33903
Billingsley, P.
1961
Hausdorff dimension in probability theory. I, II. Zbl 0098.10602
Billingsley, Patrick
1960
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
1956
Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605
Billingsley, Patrick
1956
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### Cited by 9,392 Authors

 109 Laurinčikas, Antanas 43 Horváth, Lajos 39 Lee, Sangyeol 39 Whitt, Ward 38 Peligrad, Magda 37 Janson, Svante 33 Resnick, Sidney Ira 32 Berkes, István 32 Yin, Gang George 28 Macaitienė, Renata 28 Samorodnitsky, Gennady Pinkhosovich 25 Iksanov, Aleksander M. 24 Mikosch, Thomas 22 Glynn, Peter W. 22 Taqqu, Murad S. 21 Kushner, Harold J. 21 Šiaučiūnas, Darius 21 Wang, Dehui 20 Basawa, Ishwar V. 20 Francq, Christian 19 Kabluchko, Zakhar A. 19 Meerschaert, Mark Marvin 19 Minkevičius, Saulius 19 Pang, Guodong 19 Pardoux, Etienne 18 Fernández-Sánchez, Juan 18 Ling, Shiqing 18 Sen, Pranab Kumar 17 Artstein, Zvi 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 Bouzebda, Salim 16 Komorowski, Tomasz 15 Bai, Zhi-Dong 15 Kifer, Yuri 15 Koul, Hira Lal 15 Volný, Dalibor 15 Yang, Kai 15 Zakoïan, Jean-Michel 14 Ferger, Dietmar 14 López-Díaz, Miguel 14 Louchard, Guy 14 Prakasa Rao, B. L. S. 13 Atar, Rami 13 Dette, Holger 13 Díaz-García, José Antonio 13 Hidalgo, Javier 13 Limnios, Nikolaos 13 Merlevède, Florence 13 Philipp, Walter 13 Račkauskas, Alfredas Yurgevich 13 Soulier, Philippe 13 Stute, Winfried 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 Pap, Gyula 12 Paulauskas, Vygantas Ionovič 12 Phillips, Peter Charles Bonest 12 van der Hofstad, Remco W. 12 Wu, Wei Biao 12 Zhang, Qing 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 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 11 Zwart, Bert P. 10 Afanas’ev, Valeriĭ Ivanovich 10 Aki, Sigeo 10 Aue, Alexander 10 Balbus, Łukasz ...and 9,292 more Authors
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### Cited in 703 Serials

 518 Stochastic Processes and their Applications 394 Statistics & Probability Letters 258 Journal of Statistical Planning and Inference 214 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 204 The Annals of Applied Probability 197 Journal of Econometrics 184 Probability Theory and Related Fields 166 The Annals of Probability 164 Communications in Statistics. Theory and Methods 163 Journal of Multivariate Analysis 157 Journal of Statistical Physics 146 Journal of Mathematical Analysis and Applications 146 The Annals of Statistics 139 Journal of Theoretical Probability 131 Bernoulli 127 Lithuanian Mathematical Journal 116 Journal of Applied Probability 114 Queueing Systems 112 Journal of Economic Theory 109 Annals of the Institute of Statistical Mathematics 98 Communications in Mathematical Physics 83 Transactions of the American Mathematical Society 81 Journal of Mathematical Economics 76 Advances in Applied Probability 70 Stochastic Analysis and Applications 70 Electronic Journal of Statistics 67 Metrika 64 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 64 Computational Statistics and Data Analysis 63 Statistics 59 Electronic Journal of Probability 54 Journal of Nonparametric Statistics 51 Theoretical Computer Science 50 Proceedings of the American Mathematical Society 47 Journal of Mathematical Sciences (New York) 46 Journal of Time Series Analysis 45 Advances in Mathematics 45 Econometric Theory 43 Economic Theory 42 Kybernetika 40 Fuzzy Sets and Systems 40 Journal of Soviet Mathematics 39 Stochastics 39 Statistical Papers 39 Probability in the Engineering and Informational Sciences 38 Israel Journal of Mathematics 37 Monatshefte für Mathematik 37 Journal of Statistical Computation and Simulation 37 Extremes 37 Methodology and Computing in Applied Probability 36 Games and Economic Behavior 35 Journal of Differential Equations 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 Operations Research Letters 32 Physica D 31 Mathematical Notes 31 Ukrainian Mathematical Journal 30 Annals of Operations Research 30 Economics Letters 30 Mathematical Programming. Series A. Series B 29 Scandinavian Journal of Statistics 29 Insurance Mathematics & Economics 29 Statistical Inference for Stochastic Processes 28 Applied Mathematics and Optimization 28 Journal of Computational and Applied Mathematics 27 Journal of Optimization Theory and Applications 27 Mathematical Methods of Statistics 27 Stochastic Models 27 Stochastics and Dynamics 26 Journal of Number Theory 25 SIAM Journal on Control and Optimization 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 24 Communications in Statistics. Simulation and Computation 23 Mathematische Zeitschrift 23 Acta Mathematica Sinica. English Series 22 Acta Mathematica Hungarica 22 Journal of Economic Dynamics & Control 22 Stochastics 22 ALEA. Latin American Journal of Probability and Mathematical Statistics 21 The Canadian Journal of Statistics 21 Chaos, Solitons and Fractals 21 Theory of Probability and its Applications 21 Systems & Control Letters 21 Theory of Probability and Mathematical Statistics 21 Annales Henri Poincaré 21 Journal of the Korean Statistical Society 20 Journal of Mathematical Physics 20 Physica A 20 Automatica 20 Mathematical Social Sciences 19 Mathematical Proceedings of the Cambridge Philosophical Society ...and 603 more Serials
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### Cited in 61 Fields

 5,080 Probability theory and stochastic processes (60-XX) 3,063 Statistics (62-XX) 840 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 528 Operations research, mathematical programming (90-XX) 502 Measure and integration (28-XX) 449 Numerical analysis (65-XX) 439 Statistical mechanics, structure of matter (82-XX) 426 Dynamical systems and ergodic theory (37-XX) 410 Number theory (11-XX) 399 Computer science (68-XX) 319 Partial differential equations (35-XX) 298 Systems theory; control (93-XX) 265 Biology and other natural sciences (92-XX) 262 Combinatorics (05-XX) 157 Functional analysis (46-XX) 152 Calculus of variations and optimal control; optimization (49-XX) 143 Information and communication theory, circuits (94-XX) 131 Operator theory (47-XX) 119 Ordinary differential equations (34-XX) 113 Quantum theory (81-XX) 110 Real functions (26-XX) 102 General topology (54-XX) 101 Linear and multilinear algebra; matrix theory (15-XX) 86 Fluid mechanics (76-XX) 79 Mathematical logic and foundations (03-XX) 73 Functions of a complex variable (30-XX) 65 Harmonic analysis on Euclidean spaces (42-XX) 49 Approximations and expansions (41-XX) 40 Special functions (33-XX) 36 Convex and discrete geometry (52-XX) 35 Global analysis, analysis on manifolds (58-XX) 34 Group theory and generalizations (20-XX) 34 Differential geometry (53-XX) 28 Integral transforms, operational calculus (44-XX) 27 Difference and functional equations (39-XX) 26 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 Topological groups, Lie groups (22-XX) 18 Manifolds and cell complexes (57-XX) 18 Geophysics (86-XX) 17 Algebraic geometry (14-XX) 16 Algebraic topology (55-XX) 13 History and biography (01-XX) 13 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) 5 Mathematics education (97-XX) 4 Commutative algebra (13-XX) 3 Relativity and gravitational theory (83-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX)

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