# zbMATH — the first resource for mathematics

## Rice, Stephen O.

Compute Distance To:
 Author ID: rice.stephen-o Published as: Rice, S. O.; Rice, Stephen; Rice, Stephen O. External Links: Wikidata
 Documents Indexed: 49 Publications since 1934, including 1 Book Biographic References: 2 Publications
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#### Co-Authors

 29 single-authored 7 Lugannani, Robert 4 Bateman, Harry 3 Pawula, R. F. 1 Bennett, William R. 1 Bennett, William R. 1 Chandrasekhar, Subrahmanyan 1 de Bruijn, Nicolaas Govert 1 Doob, Joseph Leonard 1 Kac, Mark 1 Knuth, Donald Ervin 1 Logan, Benjamin F. 1 Mallows, Colin Lingwood 1 Mazo, James E. 1 Nyquist, Hans 1 Ornstein, Leonard Salomon 1 Riordan, John F. 1 Roberts, J. H. 1 Shepp, Lawrence Alan 1 Uhlenbeck, George Eugene 1 Wax, Nelson 1 Yue, On-Ching
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#### Serials

 12 Bell System Technical Journal 4 American Journal of Mathematics 4 The Philosophical Magazine, VII. Series 4 The Quarterly Journal of Mathematics. Oxford Series 3 IEEE Transactions on Information Theory 3 Journal of Computational Physics 2 The Annals of Probability 2 Duke Mathematical Journal 2 IEEE Transactions on Communications 2 Quarterly of Applied Mathematics 2 SIAM Journal on Scientific and Statistical Computing 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America
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#### Fields

 13 Information and communication theory, circuits (94-XX) 10 Probability theory and stochastic processes (60-XX) 9 Numerical analysis (65-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX)

#### Citations contained in zbMATH

26 Publications have been cited 850 times in 803 Documents Cited by Year
Saddle point approximation for the distribution of the sum of independent random variables. Zbl 0425.60042
Lugannani, Robert; Rice, Stephen
1980
Mathematical analysis of random noise. Zbl 0063.06487
Rice, S. O.
1945
Mathematical analysis of random noise. Zbl 0063.06485
Rice, S. O.
1944
Selected papers on noise and stochastic processes. Zbl 0059.11903
Wax, N.; Doob, Joseph L.; Chandrasekhar, S.; Rice, S. O.; Uhlenbeck, G. E.; Kac, M.; Ornstein, L. S.
1954
The average height of planted plane trees. Zbl 0247.05106
de Bruijn, N. G.; Knuth, D. E.; Rice, S. O.
1972
Limit distributions of self-normalized sums. Zbl 0272.60016
Logan, B. F.; Mallows, C. L.; Rice, S. O.; Shepp, L. A.
1973
Reflection of electromagnetic waves from slightly rough surfaces. Zbl 0043.20101
Rice, Stephen O.
1951
Distribution of quadratic forms in normal random variables evaluation by numerical integration. Zbl 0484.65085
Rice, S. O.
1980
The integral of the absolute value of the pinned Wiener process - calculation of its probability density by numerical integration. Zbl 0479.60080
Rice, S. O.
1982
Some properties of $$_3F_2(-n,n+1,\zeta;1,p;v)$$. Zbl 0026.31401
Rice, S. O.
1940
The distribution of the maxima of a random curve. Zbl 0020.38102
Rice, S. O.
1939
On filtered binary processes. Zbl 0587.60036
Pawula, R. F.; Rice, S. O.
1986
The distribution of random determinants. Zbl 0057.34905
Nyquist, H.; Rice, S. O.; Riordan, J.
1954
Uniform asymptotic expansions for saddle point integrals - applications to a probability distribution occurring in noise theory. Zbl 0177.47804
Rice, S. O.
1968
Efficient evaluation of integrals of analytic functions by the trapezoidal rule. Zbl 0278.65025
Rice, S. O.
1973
On contour integrals for the product of two Bessel functions. Zbl 0011.11603
Rice, S. O.
1935
Distribution of the phase angle between two vectors perturbed by Gaussian noise. Zbl 0498.94002
Pawula, R. F.; Rice, S. O.; Roberts, J. H.
1982
Series approximations for the amplitude distribution and density of shot processes. Zbl 0376.60046
Yue, On-Ching; Lugannani, Robert; Rice, Stephen O.
1978
Steady state solutions of transmission line equations. Zbl 0028.33202
Rice, S. O.
1941
Integrals involving Legendre functions. Zbl 0018.25404
Bateman, H.; Rice, S. O.
1938
Series for the wave function of a radiating dipole at the earth’s surface. Zbl 0016.11506
Rice, S. O.
1937
Use of Gaussian convergence factors in the numerical evaluation of slowly converging integrals. Zbl 0447.65008
Lugannani, Robert; Rice, Stephen
1980
On a nonlinear problem involving RC noise. Zbl 0261.94001
Mazo, J. E.; Pawula, R. F.; Rice, Stephen O.
1973
Noise in FM receivers. Zbl 0126.35904
Rice, S. O.
1963
Reflections from bends and corners in electromagnetic wave guides. Zbl 0035.12707
Rice, S. O.
1950
Some expansions associated with Bessel functions. Zbl 0011.11602
Bateman, H.; Rice, S. O.
1935
On filtered binary processes. Zbl 0587.60036
Pawula, R. F.; Rice, S. O.
1986
The integral of the absolute value of the pinned Wiener process - calculation of its probability density by numerical integration. Zbl 0479.60080
Rice, S. O.
1982
Distribution of the phase angle between two vectors perturbed by Gaussian noise. Zbl 0498.94002
Pawula, R. F.; Rice, S. O.; Roberts, J. H.
1982
Saddle point approximation for the distribution of the sum of independent random variables. Zbl 0425.60042
Lugannani, Robert; Rice, Stephen
1980
Distribution of quadratic forms in normal random variables evaluation by numerical integration. Zbl 0484.65085
Rice, S. O.
1980
Use of Gaussian convergence factors in the numerical evaluation of slowly converging integrals. Zbl 0447.65008
Lugannani, Robert; Rice, Stephen
1980
Series approximations for the amplitude distribution and density of shot processes. Zbl 0376.60046
Yue, On-Ching; Lugannani, Robert; Rice, Stephen O.
1978
Limit distributions of self-normalized sums. Zbl 0272.60016
Logan, B. F.; Mallows, C. L.; Rice, S. O.; Shepp, L. A.
1973
Efficient evaluation of integrals of analytic functions by the trapezoidal rule. Zbl 0278.65025
Rice, S. O.
1973
On a nonlinear problem involving RC noise. Zbl 0261.94001
Mazo, J. E.; Pawula, R. F.; Rice, Stephen O.
1973
The average height of planted plane trees. Zbl 0247.05106
de Bruijn, N. G.; Knuth, D. E.; Rice, S. O.
1972
Uniform asymptotic expansions for saddle point integrals - applications to a probability distribution occurring in noise theory. Zbl 0177.47804
Rice, S. O.
1968
Noise in FM receivers. Zbl 0126.35904
Rice, S. O.
1963
Selected papers on noise and stochastic processes. Zbl 0059.11903
Wax, N.; Doob, Joseph L.; Chandrasekhar, S.; Rice, S. O.; Uhlenbeck, G. E.; Kac, M.; Ornstein, L. S.
1954
The distribution of random determinants. Zbl 0057.34905
Nyquist, H.; Rice, S. O.; Riordan, J.
1954
Reflection of electromagnetic waves from slightly rough surfaces. Zbl 0043.20101
Rice, Stephen O.
1951
Reflections from bends and corners in electromagnetic wave guides. Zbl 0035.12707
Rice, S. O.
1950
Mathematical analysis of random noise. Zbl 0063.06487
Rice, S. O.
1945
Mathematical analysis of random noise. Zbl 0063.06485
Rice, S. O.
1944
Steady state solutions of transmission line equations. Zbl 0028.33202
Rice, S. O.
1941
Some properties of $$_3F_2(-n,n+1,\zeta;1,p;v)$$. Zbl 0026.31401
Rice, S. O.
1940
The distribution of the maxima of a random curve. Zbl 0020.38102
Rice, S. O.
1939
Integrals involving Legendre functions. Zbl 0018.25404
Bateman, H.; Rice, S. O.
1938
Series for the wave function of a radiating dipole at the earth’s surface. Zbl 0016.11506
Rice, S. O.
1937
On contour integrals for the product of two Bessel functions. Zbl 0011.11603
Rice, S. O.
1935
Some expansions associated with Bessel functions. Zbl 0011.11602
Bateman, H.; Rice, S. O.
1935
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#### Cited by 1,151 Authors

 21 Farahmand, Kambiz 15 Nicholls, David P. 15 Prodinger, Helmut 13 Fraser, Donald A. S. 12 Gatto, Riccardo 12 Wong, Augustine C. M. 11 Abd-Elfattah, Ehab F. 9 Butler, Ronald W. 8 Kolassa, John E. 8 Reid, Nancy M. 7 Shao, Qi-Man 6 Flajolet, Philippe 6 Kemp, R. R. D. 6 Račkauskas, Alfredas Yurgevich 6 Robinson, John 6 Wang, Qiying 5 Azaïs, Jean-Marc 5 Hou, Thomas Yizhao 5 Jing, Bingyi 5 Mason, David M. 5 Rekkas, Marie 5 Rychlik, Igor 5 Shi, Zuoqiang 5 Wood, Andrew T. A. 4 Adler, Robert Joseph 4 Field, Christopher A. 4 Heuberger, Clemens 4 León, José Rafael R. 4 McCauley, Joseph L. 4 Middleton, David A. J. 4 Murakami, Hidetoshi 4 Nadarajah, Saralees 4 Paolella, Marc S. 4 Provost, Serge B. 4 Trindade, A. Alexandre 4 Withers, Christopher Stroude 4 Wu, Jianrong 4 Zhou, Wang 3 Akahira, Masafumi 3 Annunziato, Mario 3 Arevalillo, Jorge M. 3 Booth, James G. 3 Broda, Simon A. 3 Chang, Fang 3 Desolneux, Agnès 3 Devroye, Luc P. J. A. 3 Götze, Friedrich W. 3 Ha, Hyungtae 3 Hillier, Grant H. 3 Hong, Youngjoon 3 Leadbetter, Malcolm Ross 3 Martellosio, Federico 3 Nieto Roig, Juan Jose 3 Ogura, Hisanao 3 Ong, Siew-Hui 3 Paige, Robert L. 3 Ronchetti, Elvezio M. 3 Samanta, Guru Prasad 3 Seri, Raffaello 3 Takács, Lajos 3 Taylor, Jonathan E. 3 Temme, Nico M. 3 Wagner, Stephan G. 3 Wang, Suojin 3 Wong, Anthony 2 Albin, J. M. P. 2 Ariffin, Ahmad Kamal 2 Atkinson, Mike D. 2 Bahar, Ezekiel 2 Barndorff-Nielsen, Ole Eiler 2 Baumgartner, Benjamin 2 Baxevani, Anastassia 2 Beliaev, Dmitri B. 2 Biermé, Hermine 2 Blachman, Nelson M. 2 Boccotti, Paolo 2 Borovkov, Konstantin A. 2 Borzì, Alfio 2 Cheah, P. K. 2 Chen, JianBing 2 Chen, Qian 2 Cheng, Dan 2 Choirat, Christine 2 Csörgő, Miklós 2 Dalmao, Federico 2 Deutsch, Emeric 2 Drmota, Michael 2 Durrett, Richard Timothy 2 Farahani, S. Vasheghani 2 Field, Timothy R. 2 Fields, Jerry Leon 2 Fill, James Allen 2 Fuchs, Michael 2 Gan, Chunbiao 2 García Pérez, Alfonso 2 Giles, David E. A. 2 Gunaratne, Gemunu H. 2 Hackl, Benjamin 2 Hall, Peter Gavin 2 Halverson, Don R. ...and 1,051 more Authors
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#### Cited in 262 Serials

 26 Statistics & Probability Letters 22 Communications in Statistics. Theory and Methods 19 Computational Statistics and Data Analysis 18 Stochastic Processes and their Applications 18 Journal of Applied Physics 16 The Annals of Probability 14 The Canadian Journal of Statistics 14 Journal of Statistical Physics 14 Journal of Statistical Planning and Inference 14 Journal of Statistical Computation and Simulation 13 Journal of Fluid Mechanics 11 Journal of Mathematical Physics 11 Theoretical Computer Science 11 Communications in Statistics. Simulation and Computation 10 Journal of Computational Physics 10 The Annals of Statistics 10 Transactions of the American Mathematical Society 9 Journal of Mathematical Analysis and Applications 9 Annals of the Institute of Statistical Mathematics 9 Proceedings of the American Mathematical Society 9 Journal of Theoretical Probability 8 Lithuanian Mathematical Journal 8 The Annals of Applied Probability 8 Applied Mathematical Modelling 8 Bernoulli 8 Methodology and Computing in Applied Probability 8 Waves in Random and Complex Media 7 Discrete Mathematics 7 Journal of the Franklin Institute 7 Physica A 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Extremes 6 Mathematical Biosciences 6 Psychometrika 6 Wave Motion 6 Journal of Applied Probability 6 Journal of Econometrics 6 Journal of Multivariate Analysis 6 European Journal of Combinatorics 6 Statistics 6 Statistical Science 5 Computers & Mathematics with Applications 5 Metrika 5 Mathematics of Computation 5 Physica D 5 Probability Theory and Related Fields 5 Applied Mathematics Letters 5 Computational Statistics 5 Physics of Fluids 4 Computer Methods in Applied Mechanics and Engineering 4 Physics Letters. A 4 Physics Reports 4 Chaos, Solitons and Fractals 4 Applied Numerical Mathematics 4 Journal of Applied Mathematics and Stochastic Analysis 4 Journal of Nonparametric Statistics 4 Physical Review, II. Series 3 Computers and Fluids 3 Scandinavian Journal of Statistics 3 Advances in Mathematics 3 Automatica 3 Information Sciences 3 Journal of the American Statistical Association 3 Journal of Soviet Mathematics 3 Kybernetika 3 Stochastic Analysis and Applications 3 Aequationes Mathematicae 3 Annals of Physics 3 Test 3 Journal of Mathematical Sciences (New York) 3 Journal of Computational Neuroscience 3 Mathematical Problems in Engineering 3 Chaos 3 Communications in Nonlinear Science and Numerical Simulation 3 Econometric Theory 3 Statistical Methodology 3 Bulletin of the American Mathematical Society 3 Journal of Zhejiang University. Science A 3 International Journal of Stochastic Analysis 3 Journal of Probability and Statistics 2 International Journal of Modern Physics B 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Acta Mechanica 2 Advances in Applied Probability 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 International Journal of Theoretical Physics 2 Journal of the Mechanics and Physics of Solids 2 Reviews of Modern Physics 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Theory of Probability and its Applications 2 Applied Mathematics and Computation 2 Biometrics 2 Computing 2 International Journal for Numerical Methods in Engineering 2 Journal of Combinatorial Theory. Series A 2 Journal of Combinatorial Theory. Series B 2 Journal of Mathematical Psychology ...and 162 more Serials
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#### Cited in 46 Fields

 294 Probability theory and stochastic processes (60-XX) 274 Statistics (62-XX) 101 Numerical analysis (65-XX) 47 Combinatorics (05-XX) 42 Fluid mechanics (76-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Computer science (68-XX) 31 Statistical mechanics, structure of matter (82-XX) 29 Mechanics of deformable solids (74-XX) 29 Biology and other natural sciences (92-XX) 27 Special functions (33-XX) 27 Optics, electromagnetic theory (78-XX) 23 Partial differential equations (35-XX) 23 Information and communication theory, circuits (94-XX) 20 Systems theory; control (93-XX) 18 Operations research, mathematical programming (90-XX) 17 Ordinary differential equations (34-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Number theory (11-XX) 15 Geophysics (86-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Functions of a complex variable (30-XX) 11 Approximations and expansions (41-XX) 11 Mechanics of particles and systems (70-XX) 10 Quantum theory (81-XX) 9 Real functions (26-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Integral transforms, operational calculus (44-XX) 5 History and biography (01-XX) 4 Sequences, series, summability (40-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Measure and integration (28-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX)

#### Wikidata Timeline

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