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Author ID: abate.joseph Recent zbMATH articles by "Abate, Joseph"
Published as: Abate, Joseph; Abate, J.

Publications by Year

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
178
1992
Numerical inversion of Laplace transforms of probability distributions. Zbl 0821.65085
Abate, Joseph; Whitt, Ward
160
1995
Multi-precision Laplace transform inversion. Zbl 1059.65118
Abate, J.; Valkó, P. P.
90
2004
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
81
2006
Numerical inversion of probability generating functions. Zbl 0758.60014
Abate, Joseph; Whitt, Ward
46
1992
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
46
2000
Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088
Abate, Joseph; Whitt, Ward
44
1997
Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion. Zbl 1064.65152
Valkó, P. P.; Abate, J.
41
2004
Transient behavior of the M/M/1 queue via Laplace transforms. Zbl 0638.60097
Abate, Joseph; Whitt, Ward
40
1988
Transient behavior of regulated Brownian motion. I: Starting at the origin. Zbl 0628.60083
Abate, Joseph; Whitt, Ward
34
1987
Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082
Abate, Joseph; Whitt, Ward
31
1987
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
28
1994
Asymptotics for steady-state tail probabilities in structured Markov queueing models. Zbl 0801.60082
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
27
1994
Transient behavior of the \(M/G/1\) workload process. Zbl 0833.90042
Abate, Joseph; Whitt, Ward
21
1994
On the Laguerre method for numerically inverting Laplace transforms. Zbl 0887.60100
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
21
1996
Exponential approximations for tail probabilities in queues. I: Waiting times. Zbl 0841.60076
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
21
1995
Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. Zbl 0628.60084
Abate, Joseph; Whitt, Ward
19
1987
Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512
Abate, Joseph; Whitt, Ward
19
1999
Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations. Zbl 1060.65681
Valkó, Peter P.; Abate, Joseph
18
2005
Solving probability transform functional equations for numerical inversion. Zbl 0766.60107
Abate, Joseph; Whitt, Ward
16
1992
An operational calculus for probability distributions via Laplace transforms. Zbl 0845.60019
Abate, Joseph; Whitt, Ward
13
1996
Calculating transient characteristics of the Erlang loss model by numerical transform inversion. Zbl 0905.60071
Abate, J.; Whitt, W.
12
1998
Infinite-series representations of Laplace transforms of probability density functions for numerical inversion. Zbl 1002.60016
Abate, Joseph; Whitt, Ward
11
1999
The correlation functions of RBM and M/M/1. Zbl 0712.60104
Abate, Joseph; Whitt, Ward
10
1988
Exponential approximations for tail probabilities in queues. II: Sojourn time and workload. Zbl 0879.60102
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
9
1996
Simple spectral representations for the M/M/1 queue. Zbl 0671.60083
Abate, Joseph; Whitt, Ward
8
1988
Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions. Zbl 0967.90021
Abate, Joseph; Whitt, Ward
6
1999
Numerical Laplace inversion in rheological characterization. Zbl 1106.76429
Valkó, Peter P.; Abate, Joseph
6
2004
Modeling service-time distributions with non-exponential tails: beta mixtures of exponentials. Zbl 0940.60019
Abate, Joseph; Whitt, Ward
6
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
6
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
6
1995
Spectral theory for skip-free Markov chains. Zbl 1134.60372
Abate, Joseph; Whitt, Ward
5
1989
Limits and approximations for the busy-period distribution in single-server queues. Zbl 1336.60174
Abate, Joseph; Whitt, Ward
5
1995
Integer sequences from queueing theory. Zbl 1238.11032
Abate, Joseph; Whitt, Ward
4
2010
Limits and approximants for the M/G/1 LIFO waiting-time distribution. Zbl 0882.90046
Abate, Joseph; Whitt, Ward
4
1997
Decomposition of the M/M/1 transition function. Zbl 0731.60086
Abate, Joseph; Kijima, Masaaki; Whitt, Ward
3
1991
A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues. Zbl 0814.90029
Abate, Joseph; Whitt, Ward
3
1994
Brownian motion and the generalized Catalan numbers. Zbl 1229.11028
Abate, Joseph; Whitt, Ward
2
2011
Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114
1
1988
Brownian motion and the generalized Catalan numbers. Zbl 1229.11028
Abate, Joseph; Whitt, Ward
2
2011
Integer sequences from queueing theory. Zbl 1238.11032
Abate, Joseph; Whitt, Ward
4
2010
A unified framework for numerically inverting Laplace transforms. Zbl 1241.65114
Abate, Joseph; Whitt, Ward
81
2006
Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations. Zbl 1060.65681
Valkó, Peter P.; Abate, Joseph
18
2005
Multi-precision Laplace transform inversion. Zbl 1059.65118
Abate, J.; Valkó, P. P.
90
2004
Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion. Zbl 1064.65152
Valkó, P. P.; Abate, J.
41
2004
Numerical Laplace inversion in rheological characterization. Zbl 1106.76429
Valkó, Peter P.; Abate, Joseph
6
2004
An introduction to numerical transform inversion and its application to probability models. Zbl 0945.65008
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
46
2000
Computing Laplace transforms for numerical inversion via continued fractions. Zbl 1039.65512
Abate, Joseph; Whitt, Ward
19
1999
Infinite-series representations of Laplace transforms of probability density functions for numerical inversion. Zbl 1002.60016
Abate, Joseph; Whitt, Ward
11
1999
Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions. Zbl 0967.90021
Abate, Joseph; Whitt, Ward
6
1999
Modeling service-time distributions with non-exponential tails: beta mixtures of exponentials. Zbl 0940.60019
Abate, Joseph; Whitt, Ward
6
1999
Calculating transient characteristics of the Erlang loss model by numerical transform inversion. Zbl 0905.60071
Abate, J.; Whitt, W.
12
1998
Asymptotics for M/G/1 low-priority waiting-time tail probabilities. Zbl 0894.60088
Abate, Joseph; Whitt, Ward
44
1997
Limits and approximants for the M/G/1 LIFO waiting-time distribution. Zbl 0882.90046
Abate, Joseph; Whitt, Ward
4
1997
On the Laguerre method for numerically inverting Laplace transforms. Zbl 0887.60100
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
21
1996
An operational calculus for probability distributions via Laplace transforms. Zbl 0845.60019
Abate, Joseph; Whitt, Ward
13
1996
Exponential approximations for tail probabilities in queues. II: Sojourn time and workload. Zbl 0879.60102
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
9
1996
Numerical inversion of Laplace transforms of probability distributions. Zbl 0821.65085
Abate, Joseph; Whitt, Ward
160
1995
Exponential approximations for tail probabilities in queues. I: Waiting times. Zbl 0841.60076
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
21
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
6
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
6
1995
Limits and approximations for the busy-period distribution in single-server queues. Zbl 1336.60174
Abate, Joseph; Whitt, Ward
5
1995
Waiting-time tail probabilities in queues with long-tail service-time distributions. Zbl 0805.60097
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
28
1994
Asymptotics for steady-state tail probabilities in structured Markov queueing models. Zbl 0801.60082
Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
27
1994
Transient behavior of the \(M/G/1\) workload process. Zbl 0833.90042
Abate, Joseph; Whitt, Ward
21
1994
A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues. Zbl 0814.90029
Abate, Joseph; Whitt, Ward
3
1994
The Fourier-series method for inverting transforms of probability distributions. Zbl 0749.60013
Abate, Joseph; Whitt, Ward
178
1992
Numerical inversion of probability generating functions. Zbl 0758.60014
Abate, Joseph; Whitt, Ward
46
1992
Solving probability transform functional equations for numerical inversion. Zbl 0766.60107
Abate, Joseph; Whitt, Ward
16
1992
Decomposition of the M/M/1 transition function. Zbl 0731.60086
Abate, Joseph; Kijima, Masaaki; Whitt, Ward
3
1991
Spectral theory for skip-free Markov chains. Zbl 1134.60372
Abate, Joseph; Whitt, Ward
5
1989
Transient behavior of the M/M/1 queue via Laplace transforms. Zbl 0638.60097
Abate, Joseph; Whitt, Ward
40
1988
The correlation functions of RBM and M/M/1. Zbl 0712.60104
Abate, Joseph; Whitt, Ward
10
1988
Simple spectral representations for the M/M/1 queue. Zbl 0671.60083
Abate, Joseph; Whitt, Ward
8
1988
Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114
1
1988
Transient behavior of regulated Brownian motion. I: Starting at the origin. Zbl 0628.60083
Abate, Joseph; Whitt, Ward
34
1987
Transient behavior of the M/M/1 queue: Starting at the origin. Zbl 0671.60082
Abate, Joseph; Whitt, Ward
31
1987
Transient behavior of regulated Brownian motion. II: Non-zero initial conditions. Zbl 0628.60084
Abate, Joseph; Whitt, Ward
19
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

Citations by Year