×

zbMATH — the first resource for mathematics

McDonald, David R.

Compute Distance To:
Author ID: mcdonald.david-r Recent zbMATH articles by "McDonald, David R."
Published as: McDonald, D.; McDonald, D. R.; McDonald, David; McDonald, David R.; Mcdonald, David; Mcdonald, David R.
External Links: MGP
Documents Indexed: 61 Publications since 1975, including 2 Books

Publications by Year

Citations contained in zbMATH

50 Publications have been cited 344 times in 259 Documents Cited by Year
Join the shortest queue: Stability and exact asymptotics. Zbl 1016.60078
Foley, R. D.; McDonald, D. R.
45
2001
Limit theorems for semi-Markov processes and renewal theory for Markov chains. Zbl 0397.60052
Athreya, K. B.; McDonald, D.; Ney, P.
35
1978
An elementary proof of the local central limit theorem. Zbl 0841.60013
Davis, Burgess; McDonald, David
28
1995
Continuity of \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052
Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J.
20
1990
Large deviations of a modified Jackson network: stability and rough asymptotics. Zbl 1063.60134
Foley, Robert D.; McDonald, David R.
19
2005
Bridges and networks: exact asymptotics. Zbl 1085.60068
Foley, Robert D.; McDonald, David R.
17
2005
Asymptotics of first passage times for random walk in an orthant. Zbl 0937.60091
McDonald, D. R.
17
1999
A cusum procedure based on sequential ranks. Zbl 0722.62064
McDonald, David
15
1990
Exact asymptotics for the stationary distribution of a Markov chain: a production model. Zbl 1188.60046
Adan, Ivo; Foley, Robert D.; McDonald, David R.
12
2009
The local limit theorem: a historical perspective. Zbl 06657097
McDonald, D. R.
11
2005
A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092
Bordenave, Charles; McDonald, David R.; Proutière, Alexandre
9
2010
Coupling and the renewal theorem. Zbl 0397.60072
Athreya, K.; McDonald, D.; Ney, P.
9
1978
Zero-sum stochastic games with partial information. Zbl 1140.91305
Ghosh, M. K.; McDonald, D.; Sinha, S.
8
2004
Large deviations for \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes. Zbl 0716.60060
Iscoe, I.; McDonald, D.
6
1989
On local limit theorem for integer-valued random variables. Zbl 0435.60022
McDonald, David R.
6
1980
A local limit theorem for large deviations of sums of independent, nonidentically distributed random variables. Zbl 0421.60026
McDonald, David
6
1979
Mean field convergence of a model of multiple TCP connections through a buffer implementing RED. Zbl 1094.60053
McDonald, D. R.; Reynier, J.
5
2006
On the Poisson approximation to the multinomial distribution. Zbl 0452.62016
McDonald, David R.
5
1980
On local limit theorem for integer valued random variables. Zbl 0411.60027
McDonald, David R.
5
1979
Constructing a harmonic function for an irreducible nonnegative matrix with convergence parameter \(R>1\). Zbl 1260.60154
Foley, Robert D.; Mcdonald, David R.
4
2012
Elements of applied probability for engineering, mathematics and systems science. Zbl 1058.60001
McDonald, David
4
2004
Rare events for stationary processes. Zbl 1045.60044
Baccelli, F.; McDonald, D. R.
4
2000
Overloading parallel servers when arrivals join the shortest queue. Zbl 0860.60074
McDonald, David
4
1996
On semi-Markov and semi-regenerative processes I. Zbl 0395.60080
McDonald, David
4
1978
Asymptotic stability region of slotted Aloha. Zbl 1364.94350
Bordenave, Charles; McDonald, David; Proutiere, Alexandre
3
2012
Equilibria of a class of transport equations arising in congestion control. Zbl 1166.90323
Baccelli, Francois; Kim, Ki Baek; Mcdonald, David R.
3
2007
Asymptotics of exit times for Markov jump processes. II: Applications to Jackson networks. Zbl 0834.60091
Iscoe, I.; McDonald, D.
3
1994
Asymptotics of exit times for Markov jump processes. I. Zbl 0802.60075
Iscoe, I.; McDonald, D.
3
1994
Statistical analysis of multiple ion channel data. Zbl 0781.62173
Dabrowski, André Robert; McDonald, David
3
1992
Renewal theory properties of ion channels. Zbl 0707.60083
Dabrowski, André Robert; McDonald, David; Rösler, Uwe
3
1990
On semi-Markov and semiregenerative processes II. Zbl 0395.60081
McDonald, David
3
1978
Renewal theorem and Markov chains. Zbl 0313.60060
McDonald, David
3
1975
HTTP turbulence. Zbl 1131.90013
Baccelli, François; Chaintreau, Augustin; De Vleeschauwer, Danny; McDonald, David
2
2006
An approximation method for complete solutions of Markov-modulated fluid models. Zbl 0915.90104
McDonald, D.; Qian, K.
2
1998
Consistent estimation in the presence of bandwidth limitation. Zbl 0780.92010
Dabrowski, André Robert; McDonald, David
2
1993
On the asymptotics of randomness statistics. Zbl 0729.60019
McDonald, D.
2
1991
Yaglom limits can depend on the starting state. Zbl 1431.60075
Foley, R. D.; McDonald, D. R.
1
2018
Networks with cascading overloads. Zbl 1364.90071
Collingwood, Jesse; Foley, Robert D.; McDonald, David R.
1
2012
Large deviations of multiclass \(M/G/1\) queues. Zbl 1180.60076
Dabrowski, André; Lee, Jiyeon; McDonald, David R.
1
2009
Cramér-von Mises regression. Zbl 0966.62023
Ghoudi, Kilani; McDonald, David
1
2000
Comparing load balancing algorithms for distributed queueing networks. Zbl 0981.90010
McDonald, D. R.; Turner, S. R. E.
1
2000
A unified approach to fast teller queues and ATM. Zbl 0952.60096
Beck, B.; Dabrowski, A. R.; McDonald, D. R.
1
1999
Connection admission control for constant bit rate traffic at a multi-buffer multiplexer using the oldest-cell-first discipline. Zbl 0913.90106
Huang, Alan; McDonald, D.
1
1998
A nonparametric test for homogeneity: Applications to parameter estimation. Zbl 1163.62323
Ghoudi, K.; McDonald, D.
1
1994
Asymptotics of the exit distribution for Markov jump processes; application to ATM. Zbl 0814.60069
Iscoe, I.; McDonald, D.; Qian, K.
1
1994
Capacity of ATM switches. Zbl 0779.60076
Iscoe, I.; McDonald, D.; Qian, K.
1
1993
Induced Dirichlet forms and capacitary inequalities. Zbl 0711.60037
Iscoe, I.; McDonald, D.
1
1990
On nonhomogeneous, spatial Poisson processes. Zbl 0679.62036
McDonald, D.
1
1989
A characterization of non-homogeneous Poisson processes. Zbl 0574.62051
Chouinard, Aline; McDonald, David
1
1985
Equilibrium measures for semi-Markov processes. Zbl 0386.60066
McDonald, David R.
1
1977
Yaglom limits can depend on the starting state. Zbl 1431.60075
Foley, R. D.; McDonald, D. R.
1
2018
Constructing a harmonic function for an irreducible nonnegative matrix with convergence parameter \(R>1\). Zbl 1260.60154
Foley, Robert D.; Mcdonald, David R.
4
2012
Asymptotic stability region of slotted Aloha. Zbl 1364.94350
Bordenave, Charles; McDonald, David; Proutiere, Alexandre
3
2012
Networks with cascading overloads. Zbl 1364.90071
Collingwood, Jesse; Foley, Robert D.; McDonald, David R.
1
2012
A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092
Bordenave, Charles; McDonald, David R.; Proutière, Alexandre
9
2010
Exact asymptotics for the stationary distribution of a Markov chain: a production model. Zbl 1188.60046
Adan, Ivo; Foley, Robert D.; McDonald, David R.
12
2009
Large deviations of multiclass \(M/G/1\) queues. Zbl 1180.60076
Dabrowski, André; Lee, Jiyeon; McDonald, David R.
1
2009
Equilibria of a class of transport equations arising in congestion control. Zbl 1166.90323
Baccelli, Francois; Kim, Ki Baek; Mcdonald, David R.
3
2007
Mean field convergence of a model of multiple TCP connections through a buffer implementing RED. Zbl 1094.60053
McDonald, D. R.; Reynier, J.
5
2006
HTTP turbulence. Zbl 1131.90013
Baccelli, François; Chaintreau, Augustin; De Vleeschauwer, Danny; McDonald, David
2
2006
Large deviations of a modified Jackson network: stability and rough asymptotics. Zbl 1063.60134
Foley, Robert D.; McDonald, David R.
19
2005
Bridges and networks: exact asymptotics. Zbl 1085.60068
Foley, Robert D.; McDonald, David R.
17
2005
The local limit theorem: a historical perspective. Zbl 06657097
McDonald, D. R.
11
2005
Zero-sum stochastic games with partial information. Zbl 1140.91305
Ghosh, M. K.; McDonald, D.; Sinha, S.
8
2004
Elements of applied probability for engineering, mathematics and systems science. Zbl 1058.60001
McDonald, David
4
2004
Join the shortest queue: Stability and exact asymptotics. Zbl 1016.60078
Foley, R. D.; McDonald, D. R.
45
2001
Rare events for stationary processes. Zbl 1045.60044
Baccelli, F.; McDonald, D. R.
4
2000
Cramér-von Mises regression. Zbl 0966.62023
Ghoudi, Kilani; McDonald, David
1
2000
Comparing load balancing algorithms for distributed queueing networks. Zbl 0981.90010
McDonald, D. R.; Turner, S. R. E.
1
2000
Asymptotics of first passage times for random walk in an orthant. Zbl 0937.60091
McDonald, D. R.
17
1999
A unified approach to fast teller queues and ATM. Zbl 0952.60096
Beck, B.; Dabrowski, A. R.; McDonald, D. R.
1
1999
An approximation method for complete solutions of Markov-modulated fluid models. Zbl 0915.90104
McDonald, D.; Qian, K.
2
1998
Connection admission control for constant bit rate traffic at a multi-buffer multiplexer using the oldest-cell-first discipline. Zbl 0913.90106
Huang, Alan; McDonald, D.
1
1998
Overloading parallel servers when arrivals join the shortest queue. Zbl 0860.60074
McDonald, David
4
1996
An elementary proof of the local central limit theorem. Zbl 0841.60013
Davis, Burgess; McDonald, David
28
1995
Asymptotics of exit times for Markov jump processes. II: Applications to Jackson networks. Zbl 0834.60091
Iscoe, I.; McDonald, D.
3
1994
Asymptotics of exit times for Markov jump processes. I. Zbl 0802.60075
Iscoe, I.; McDonald, D.
3
1994
A nonparametric test for homogeneity: Applications to parameter estimation. Zbl 1163.62323
Ghoudi, K.; McDonald, D.
1
1994
Asymptotics of the exit distribution for Markov jump processes; application to ATM. Zbl 0814.60069
Iscoe, I.; McDonald, D.; Qian, K.
1
1994
Consistent estimation in the presence of bandwidth limitation. Zbl 0780.92010
Dabrowski, André Robert; McDonald, David
2
1993
Capacity of ATM switches. Zbl 0779.60076
Iscoe, I.; McDonald, D.; Qian, K.
1
1993
Statistical analysis of multiple ion channel data. Zbl 0781.62173
Dabrowski, André Robert; McDonald, David
3
1992
On the asymptotics of randomness statistics. Zbl 0729.60019
McDonald, D.
2
1991
Continuity of \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052
Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J.
20
1990
A cusum procedure based on sequential ranks. Zbl 0722.62064
McDonald, David
15
1990
Renewal theory properties of ion channels. Zbl 0707.60083
Dabrowski, André Robert; McDonald, David; Rösler, Uwe
3
1990
Induced Dirichlet forms and capacitary inequalities. Zbl 0711.60037
Iscoe, I.; McDonald, D.
1
1990
Large deviations for \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes. Zbl 0716.60060
Iscoe, I.; McDonald, D.
6
1989
On nonhomogeneous, spatial Poisson processes. Zbl 0679.62036
McDonald, D.
1
1989
A characterization of non-homogeneous Poisson processes. Zbl 0574.62051
Chouinard, Aline; McDonald, David
1
1985
On local limit theorem for integer-valued random variables. Zbl 0435.60022
McDonald, David R.
6
1980
On the Poisson approximation to the multinomial distribution. Zbl 0452.62016
McDonald, David R.
5
1980
A local limit theorem for large deviations of sums of independent, nonidentically distributed random variables. Zbl 0421.60026
McDonald, David
6
1979
On local limit theorem for integer valued random variables. Zbl 0411.60027
McDonald, David R.
5
1979
Limit theorems for semi-Markov processes and renewal theory for Markov chains. Zbl 0397.60052
Athreya, K. B.; McDonald, D.; Ney, P.
35
1978
Coupling and the renewal theorem. Zbl 0397.60072
Athreya, K.; McDonald, D.; Ney, P.
9
1978
On semi-Markov and semi-regenerative processes I. Zbl 0395.60080
McDonald, David
4
1978
On semi-Markov and semiregenerative processes II. Zbl 0395.60081
McDonald, David
3
1978
Equilibrium measures for semi-Markov processes. Zbl 0386.60066
McDonald, David R.
1
1977
Renewal theorem and Markov chains. Zbl 0313.60060
McDonald, David
3
1975
all top 5

Cited by 387 Authors

14 McDonald, David R.
10 Miyazawa, Masakiyo
9 Zhao, Yiqiang Q.
7 Alsmeyer, Gerold
7 Sutradhar, Brajendra Chandra
6 Adan, Ivo J. B. F.
5 Kobayashi, Masahiro
5 Weiss, Gideon
4 Athreya, Krishna Balasundaram
4 Csörgő, Miklós
4 Foley, Robert D.
4 Großkinsky, Stefan
4 Ignatiouk-Robert, Irina
4 Li, Hui
4 Lin, Zhengyan
4 Ney, Peter E.
4 Nummelin, Esa
4 Rao, R. Prabhakar
4 Sakuma, Yutaka
4 van Leeuwaarden, Johan S. H.
3 Akgun, Osman T.
3 Anichkin, S. A.
3 Chleboun, Paul
3 Coja-Oghlan, Amin
3 Dabrowski, André Robert
3 Damek, Ewa
3 Khanchi, Aziz
3 Korshunov, Dmitry
3 Proutière, Alexandre
3 Righter, Rhonda
3 Röllin, Adrian
3 Wang, Zhaojun
3 Wolff, Ronald W.
2 Atar, Rami
2 Babuška, Ivo
2 Davis, Burgess
2 Dawson, Donald Andrew
2 Denisov, Denis E.
2 Down, Douglas G.
2 Feyel, Denis
2 Ganesh, Ayalvadi J.
2 Geng, Wei
2 Goldys, Beniamin
2 Graham, Carl
2 Grishunina, S. A.
2 He, Qi-Ming
2 Iscoe, Ian
2 Jelenković, Predrag R.
2 Jiang, Tao
2 Jowaheer, Vandna
2 Kapodistria, Stella
2 Keslassy, Isaac
2 Knessl, Charles
2 Kołodziejek, Bartosz
2 Kolokoltsov, Vassili N.
2 Lalley, Steven P.
2 Lee, Jiyeon
2 Li, Quanlin
2 Liu, Liu
2 Lombard, Fred
2 Löpker, Andreas H.
2 Meiners, Matthias
2 Mendelson, Gal
2 Mentemeier, Sebastian
2 Nobile, Fabio
2 Olvera-Cravioto, Mariana
2 Pollak, Moshe
2 Ross, Nathan
2 Sezer, Ali Devin
2 Shneer, Vsevolod Vladislavovich
2 Szekli, Ryszard
2 Tang, Jiashan
2 Taylor, Peter Gerrard
2 Tempone, Raúl F.
2 Tibi, Danielle
2 Vvedenskaya, Nikita Dmitrievna
2 Wachtel, Vitali I.
2 Yakir, Benjamin
2 Zhou, Maoyuan
2 Zi, Xue-Min
1 Abu-Dayyeh, Walid A.
1 Afanaseva, Larisa G.
1 Aizenman, Michael
1 Albeverio, Sergio A.
1 Albin, J. M. P.
1 Alfa, Attahiru Sule
1 Ambrosio, Luigi
1 Andradóttir, Sigrún
1 Armendáriz, Inés
1 Assaad, Joyce
1 Avram, Florin
1 Ayhan, Hayriye
1 Baccelli, François Louis
1 Bae, Taehan
1 Baillon, Jean-Bernard
1 Ball, Frank G.
1 Barbour, Andrew D.
1 Barton, Nick H.
1 Basu, Arnab K.
1 Bertail, Patrice
...and 287 more Authors
all top 5

Cited in 101 Serials

28 Queueing Systems
20 Stochastic Processes and their Applications
13 Advances in Applied Probability
11 The Annals of Applied Probability
8 Journal of Applied Probability
8 Probability Theory and Related Fields
7 Journal of Statistical Physics
7 Stochastic Models
7 Stochastic Systems
6 The Annals of Probability
6 Journal of Theoretical Probability
6 Annals of Operations Research
5 The Canadian Journal of Statistics
4 Statistics & Probability Letters
3 Journal of Multivariate Analysis
3 Journal of Soviet Mathematics
3 Transactions of the American Mathematical Society
3 Operations Research Letters
3 Acta Applicandae Mathematicae
3 Potential Analysis
3 Combinatorics, Probability and Computing
3 Bernoulli
3 Sankhyā. Series A
2 Journal of Mathematical Analysis and Applications
2 Problems of Information Transmission
2 The Annals of Statistics
2 Journal of Statistical Planning and Inference
2 Sequential Analysis
2 Discrete Event Dynamic Systems
2 Communications in Statistics. Simulation and Computation
2 Computational Statistics and Data Analysis
2 Mathematical Methods of Statistics
2 Top
2 Probability in the Engineering and Informational Sciences
2 Lobachevskii Journal of Mathematics
2 Sankhyā. Series B
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Control
1 Lithuanian Mathematical Journal
1 Mathematical Biosciences
1 Metrika
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Advances in Mathematics
1 Archiv der Mathematik
1 Biometrics
1 Journal of Combinatorial Theory. Series B
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of Mathematical Economics
1 Journal of Optimization Theory and Applications
1 Memoirs of the American Mathematical Society
1 Operations Research
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Theoretical Population Biology
1 Advances in Applied Mathematics
1 Computers & Operations Research
1 Numerical Methods for Partial Differential Equations
1 Asia-Pacific Journal of Operational Research
1 Journal of Global Optimization
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Automation and Remote Control
1 Communications in Partial Differential Equations
1 Communications in Statistics. Theory and Methods
1 European Journal of Operational Research
1 Journal of Statistical Computation and Simulation
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Acta Mathematica Sinica. New Series
1 Stochastics and Stochastics Reports
1 Chinese Science Bulletin
1 International Journal of Robust and Nonlinear Control
1 Applied Mathematics. Series B (English Edition)
1 Statistical Papers
1 Journal of Mathematical Sciences (New York)
1 The Electronic Journal of Combinatorics
1 Electronic Communications in Probability
1 Discrete and Continuous Dynamical Systems
1 Journal of Nonparametric Statistics
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Mathematical Methods of Operations Research
1 Methodology and Computing in Applied Probability
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 OR Spectrum
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Industrial and Management Optimization
1 Stochastics
1 Statistical Methodology
1 The Annals of Applied Statistics
1 Dynamic Games and Applications
1 Journal of the Operations Research Society of China
1 Journal of Time Series Econometrics
1 Journal of Dynamics and Games
...and 1 more Serials

Citations by Year