## Abate, Joseph

Compute Distance To:
 Author ID: abate.joseph Published as: Abate, Joseph; Abate, J.
 Documents Indexed: 38 Publications since 1987 1 Further Contribution Co-Authors: 5 Co-Authors with 39 Joint Publications 121 Co-Co-Authors
all top 5

### Co-Authors

 0 single-authored 35 Whitt, Ward 8 Choudhury, Gagan L. 4 Valkó, Peter P. 1 Blanc, Johannes Pieter Cornelis 1 Boxma, Onno Johan 1 Brun, M. A. 1 Coffman, Edward Grady jun. 1 Doshi, Bharat T. 1 Fayolle, Guy 1 Gani, Joseph Mark 1 Groenendijk, Wim P. 1 Heyde, Christopher Charles 1 Hofri, Micha 1 Hordijk, Arie 1 Kaspi, Haya 1 Kaufman, Jay S. 1 Kelly, Frank P. 1 Kijima, Masaaki 1 Kleinrock, Leonard 1 Lavenberg, Stephen S. 1 Lucantoni, David M. 1 Mitrani, Isi 1 Phelan, Michael J. 1 Prabhu, Narahari Umanath 1 Rubinovitch, Michael 1 Syski, Ryszard 1 Tijms, Henk C. 1 van Doremalen, Jan B. M. 1 Wessels, Jaap
all top 5

### Serials

 6 Operations Research Letters 6 Queueing Systems 4 Advances in Applied Probability 4 Communications in Statistics. Stochastic Models 3 Operations Research 3 INFORMS Journal on Computing 2 Journal of Integer Sequences 2 Probability in the Engineering and Informational Sciences 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Engineering 1 Journal of the Operations Research Society of Japan 1 Applied Numerical Mathematics 1 The Annals of Applied Probability 1 ORSA Journal on Computing 1 Journal of Non-Newtonian Fluid Mechanics 1 CWI Monographs
all top 5

### Fields

 32 Probability theory and stochastic processes (60-XX) 19 Operations research, mathematical programming (90-XX) 12 Numerical analysis (65-XX) 7 Integral transforms, operational calculus (44-XX) 2 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 1,101 times in 756 Documents Cited by Year
The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013
Abate, Joseph; Whitt, Ward
1992
Numerical inversion of Laplace transforms of probability distributions. Zbl 0821.65085
Abate, Joseph; Whitt, Ward
1995
Multi-precision Laplace transform inversion. Zbl 1059.65118
Abate, J.; Valkó, P. P.
2004
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
2006
Numerical inversion of probability generating functions. Zbl 0758.60014
Abate, Joseph; Whitt, Ward
1992
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
2000
Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088
Abate, Joseph; Whitt, Ward
1997
Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion. Zbl 1064.65152
Valkó, P. P.; Abate, J.
2004
Transient behavior of the M/M/1 queue via Laplace transforms. Zbl 0638.60097
Abate, Joseph; Whitt, Ward
1988
Transient behavior of regulated Brownian motion. I: Starting at the origin. Zbl 0628.60083
Abate, Joseph; Whitt, Ward
1987
Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082
Abate, Joseph; Whitt, Ward
1987
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
Asymptotics for steady-state tail probabilities in structured Markov queueing models. Zbl 0801.60082
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
Transient behavior of the $$M/G/1$$ workload process. Zbl 0833.90042
Abate, Joseph; Whitt, Ward
1994
On the Laguerre method for numerically inverting Laplace transforms. Zbl 0887.60100
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1996
Exponential approximations for tail probabilities in queues. I: Waiting times. Zbl 0841.60076
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1995
Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. Zbl 0628.60084
Abate, Joseph; Whitt, Ward
1987
Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512
Abate, Joseph; Whitt, Ward
1999
Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations. Zbl 1060.65681
Valkó, Peter P.; Abate, Joseph
2005
Solving probability transform functional equations for numerical inversion. Zbl 0766.60107
Abate, Joseph; Whitt, Ward
1992
An operational calculus for probability distributions via Laplace transforms. Zbl 0845.60019
Abate, Joseph; Whitt, Ward
1996
Calculating transient characteristics of the Erlang loss model by numerical transform inversion. Zbl 0905.60071
Abate, J.; Whitt, W.
1998
Infinite-series representations of Laplace transforms of probability density functions for numerical inversion. Zbl 1002.60016
Abate, Joseph; Whitt, Ward
1999
The correlation functions of RBM and M/M/1. Zbl 0712.60104
Abate, Joseph; Whitt, Ward
1988
Exponential approximations for tail probabilities in queues. II: Sojourn time and workload. Zbl 0879.60102
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1996
Simple spectral representations for the M/M/1 queue. Zbl 0671.60083
Abate, Joseph; Whitt, Ward
1988
Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions. Zbl 0967.90021
Abate, Joseph; Whitt, Ward
1999
Numerical Laplace inversion in rheological characterization. Zbl 1106.76429
Valkó, Peter P.; Abate, Joseph
2004
Modeling service-time distributions with non-exponential tails: beta mixtures of exponentials. Zbl 0940.60019
Abate, Joseph; Whitt, Ward
1999
Asymptotic analysis of tail probabilities based on the computation of moments. Zbl 0865.65106
Abate, Joseph; Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward
1995
Calculating the $$M/G/1$$ busy-period density and LIFO waiting-time distribution by direct numerical transform inversion. Zbl 0854.60095
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1995
Spectral theory for skip-free Markov chains. Zbl 1134.60372
Abate, Joseph; Whitt, Ward
1989
Limits and approximations for the busy-period distribution in single-server queues. Zbl 1336.60174
Abate, Joseph; Whitt, Ward
1995
Integer sequences from queueing theory. Zbl 1238.11032
Abate, Joseph; Whitt, Ward
2010
Limits and approximants for the M/G/1 LIFO waiting-time distribution. Zbl 0882.90046
Abate, Joseph; Whitt, Ward
1997
Decomposition of the M/M/1 transition function. Zbl 0731.60086
Abate, Joseph; Kijima, Masaaki; Whitt, Ward
1991
A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues. Zbl 0814.90029
Abate, Joseph; Whitt, Ward
1994
Brownian motion and the generalized Catalan numbers. Zbl 1229.11028
Abate, Joseph; Whitt, Ward
2011
Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114
1988
Brownian motion and the generalized Catalan numbers. Zbl 1229.11028
Abate, Joseph; Whitt, Ward
2011
Integer sequences from queueing theory. Zbl 1238.11032
Abate, Joseph; Whitt, Ward
2010
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
2006
Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations. Zbl 1060.65681
Valkó, Peter P.; Abate, Joseph
2005
Multi-precision Laplace transform inversion. Zbl 1059.65118
Abate, J.; Valkó, P. P.
2004
Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion. Zbl 1064.65152
Valkó, P. P.; Abate, J.
2004
Numerical Laplace inversion in rheological characterization. Zbl 1106.76429
Valkó, Peter P.; Abate, Joseph
2004
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
2000
Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512
Abate, Joseph; Whitt, Ward
1999
Infinite-series representations of Laplace transforms of probability density functions for numerical inversion. Zbl 1002.60016
Abate, Joseph; Whitt, Ward
1999
Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions. Zbl 0967.90021
Abate, Joseph; Whitt, Ward
1999
Modeling service-time distributions with non-exponential tails: beta mixtures of exponentials. Zbl 0940.60019
Abate, Joseph; Whitt, Ward
1999
Calculating transient characteristics of the Erlang loss model by numerical transform inversion. Zbl 0905.60071
Abate, J.; Whitt, W.
1998
Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088
Abate, Joseph; Whitt, Ward
1997
Limits and approximants for the M/G/1 LIFO waiting-time distribution. Zbl 0882.90046
Abate, Joseph; Whitt, Ward
1997
On the Laguerre method for numerically inverting Laplace transforms. Zbl 0887.60100
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1996
An operational calculus for probability distributions via Laplace transforms. Zbl 0845.60019
Abate, Joseph; Whitt, Ward
1996
Exponential approximations for tail probabilities in queues. II: Sojourn time and workload. Zbl 0879.60102
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1996
Numerical inversion of Laplace transforms of probability distributions. Zbl 0821.65085
Abate, Joseph; Whitt, Ward
1995
Exponential approximations for tail probabilities in queues. I: Waiting times. Zbl 0841.60076
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1995
Asymptotic analysis of tail probabilities based on the computation of moments. Zbl 0865.65106
Abate, Joseph; Choudhury, Gagan L.; Lucantoni, David M.; Whitt, Ward
1995
Calculating the $$M/G/1$$ busy-period density and LIFO waiting-time distribution by direct numerical transform inversion. Zbl 0854.60095
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1995
Limits and approximations for the busy-period distribution in single-server queues. Zbl 1336.60174
Abate, Joseph; Whitt, Ward
1995
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
Asymptotics for steady-state tail probabilities in structured Markov queueing models. Zbl 0801.60082
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
1994
Transient behavior of the $$M/G/1$$ workload process. Zbl 0833.90042
Abate, Joseph; Whitt, Ward
1994
A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues. Zbl 0814.90029
Abate, Joseph; Whitt, Ward
1994
The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013
Abate, Joseph; Whitt, Ward
1992
Numerical inversion of probability generating functions. Zbl 0758.60014
Abate, Joseph; Whitt, Ward
1992
Solving probability transform functional equations for numerical inversion. Zbl 0766.60107
Abate, Joseph; Whitt, Ward
1992
Decomposition of the M/M/1 transition function. Zbl 0731.60086
Abate, Joseph; Kijima, Masaaki; Whitt, Ward
1991
Spectral theory for skip-free Markov chains. Zbl 1134.60372
Abate, Joseph; Whitt, Ward
1989
Transient behavior of the M/M/1 queue via Laplace transforms. Zbl 0638.60097
Abate, Joseph; Whitt, Ward
1988
The correlation functions of RBM and M/M/1. Zbl 0712.60104
Abate, Joseph; Whitt, Ward
1988
Simple spectral representations for the M/M/1 queue. Zbl 0671.60083
Abate, Joseph; Whitt, Ward
1988
Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114
1988
Transient behavior of regulated Brownian motion. I: Starting at the origin. Zbl 0628.60083
Abate, Joseph; Whitt, Ward
1987
Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082
Abate, Joseph; Whitt, Ward
1987
Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. Zbl 0628.60084
Abate, Joseph; Whitt, Ward
1987
all top 5

### Cited by 1,066 Authors

 31 Whitt, Ward 27 Mandjes, Michel Robertus Hendrikus 15 Bruneel, Herwig 15 Wang, Yongjin 14 Abate, Joseph 11 Asmussen, Søren 11 Boxma, Onno Johan 11 Zwart, Bert P. 10 Fralix, Brian H. 9 Bo, Lijun 9 Cui, Zhenyu 9 Fusai, Gianluca 9 Glynn, Peter W. 9 Kim, Bara 9 Walraevens, Joris 9 Wittevrongel, Sabine 9 Yang, Xuewei 8 Ai, Zhiyong 8 Cai, Ning 8 O’Reilly, Małgorzata M. 8 Song, Shiyu 8 Taylor, Peter Gerrard 8 Zhao, Yiqiang Q. 7 Ahn, Soohan 7 Economou, Antonis 7 Levendorskiĭ, Sergeĭ Zakharovich 7 Marazzina, Daniele 6 Adan, Ivo J. B. F. 6 Bean, Nigel G. 6 Chaudhry, Mohan L. 6 Fiems, Dieter 6 Kempa, Wojciech M. 6 Kharoufeh, Jeffrey P. 6 Kim, Jeongsim 6 Kim, Jerim 6 Lopez-Herrero, Maria Jesus 5 Artalejo, Jesus R. 5 Balcıoğlu, Barış 5 Chydzinski, Andrzej 5 Fu, Zhuojia 5 Kijima, Masaaki 5 Lillo, Rosa Elvira 5 Palmowski, Zbigniew 5 Taqqu, Murad S. 5 Veillette, Mark S. 5 Wiper, Michael P. 4 Albrecher, Hansjörg 4 Alfa, Attahiru Sule 4 Avram, Florin 4 Blanchet, Jose H. 4 Campagna, Rosanna 4 Chen, Nan 4 Crawford, Forrest W. 4 D’Amore, Luisa 4 Germano, Guido 4 Klüppelberg, Claudia 4 Li, Hui 4 Masuyama, Hiroyuki 4 Nadarajah, Saralees 4 Parthasarathy, Panamalai Ramarao 4 Perry, David 4 Stadje, Wolfgang 4 Suchard, Marc A. 4 Wang, Lujun 4 Xue, Jungong 3 Andrianov, Igor V. 3 Ausín, María Concepción 3 Badescu, Andrei L. 3 Bekker, René 3 Berger, Arthur W. 3 Boyarchenko, Svetlana I. 3 Cheng, Yi Chong 3 Dai, Tian-Shyr 3 Dassios, Angelos 3 De Muynck, Michiel 3 De Vuyst, Stijn 3 Dębicki, Krzysztof 3 den Iseger, Peter 3 Di Crescenzo, Antonio 3 Dong, Yinghui 3 Feng, Runhuan 3 Giorno, Virginia 3 Goffard, Pierre-Olivier 3 Gupta, Umesh Chandra 3 Kimura, Toshikazu 3 Kitaev, M. Yu. 3 Kortschak, Dominik 3 Kou, Shing-Gang 3 Kou, Steven 3 Krishna Kumar, Balasubramanian 3 Kudryavtsev, Oleg 3 Laub, Patrick J. 3 Lenin, R. B. 3 Li, Chenxu 3 Li, Quanlin 3 Lyuu, Yuh-Dauh 3 Madan, Dilip B. 3 Maertens, Tom 3 Mele, Valeria 3 Murli, Almerico ...and 966 more Authors
all top 5

### Cited in 188 Serials

 78 Queueing Systems 31 Operations Research Letters 31 European Journal of Operational Research 29 Stochastic Models 25 Methodology and Computing in Applied Probability 20 Journal of Applied Probability 20 Journal of Computational and Applied Mathematics 20 Probability in the Engineering and Informational Sciences 19 Quantitative Finance 17 Insurance Mathematics & Economics 16 Advances in Applied Probability 16 Computers & Mathematics with Applications 15 Applied Mathematics and Computation 15 Statistics & Probability Letters 14 International Journal of Theoretical and Applied Finance 13 Annals of Operations Research 11 Stochastic Processes and their Applications 10 Applied Mathematical Modelling 9 Operations Research 8 Computers & Operations Research 7 Physica A 7 Top 7 INFORMS Journal on Computing 7 Finance and Stochastics 7 Scandinavian Actuarial Journal 7 Journal of Industrial and Management Optimization 6 Journal of Computational Physics 6 The Annals of Applied Probability 6 Numerical Algorithms 5 Journal of Engineering Mathematics 5 Journal of Mathematical Biology 5 Naval Research Logistics 5 Opsearch 5 Communications in Statistics. Theory and Methods 5 Mathematical Methods of Operations Research 5 Journal of Statistical Mechanics: Theory and Experiment 4 Journal of Fluid Mechanics 4 Mathematical Biosciences 4 Journal of Statistical Planning and Inference 4 Stochastic Analysis and Applications 4 Asia-Pacific Journal of Operational Research 4 Mathematical and Computer Modelling 4 Engineering Analysis with Boundary Elements 4 Mathematical Finance 4 Journal of the Korean Statistical Society 4 SIAM Journal on Financial Mathematics 4 Stochastic Systems 3 Acta Mechanica 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 3 Journal of Multivariate Analysis 3 Communications in Statistics. Simulation and Computation 3 International Journal of Computer Mathematics 3 Journal of Statistical Computation and Simulation 3 Computational Statistics and Data Analysis 3 Archive of Applied Mechanics 3 Bernoulli 3 European Journal of Mechanics. B. Fluids 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Metrika 2 Chaos, Solitons and Fractals 2 Journal of Econometrics 2 Mathematics of Operations Research 2 Meccanica 2 Numerische Mathematik 2 Probability and Mathematical Statistics 2 American Journal of Mathematical and Management Sciences 2 Computational Mechanics 2 Journal of Economic Dynamics & Control 2 Journal of Theoretical Probability 2 Automation and Remote Control 2 Linear Algebra and its Applications 2 Computational Economics 2 International Applied Mechanics 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 European Journal of Mechanics. A. Solids 2 RAIRO. Operations Research 2 ASTIN Bulletin 2 Review of Derivatives Research 2 Inverse Problems in Science and Engineering 2 Journal of Statistical Theory and Practice 2 European Actuarial Journal 2 Statistics and Computing 2 Annals of Finance 2 Journal of Theoretical Biology 1 Acta Informatica 1 Applicable Analysis 1 Discrete Applied Mathematics 1 International Journal of Solids and Structures 1 International Journal of Systems Science 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Wave Motion 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Prikladnaya Matematika i Mekhanika ...and 88 more Serials
all top 5

### Cited in 35 Fields

 457 Probability theory and stochastic processes (60-XX) 273 Operations research, mathematical programming (90-XX) 173 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Numerical analysis (65-XX) 82 Statistics (62-XX) 66 Integral transforms, operational calculus (44-XX) 62 Computer science (68-XX) 39 Partial differential equations (35-XX) 38 Mechanics of deformable solids (74-XX) 32 Biology and other natural sciences (92-XX) 19 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Information and communication theory, circuits (94-XX) 5 Functions of a complex variable (30-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 3 Combinatorics (05-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX)