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Author ID: nummelin.esa Recent zbMATH articles by "Nummelin, Esa"
Published as: Nummelin, E.; Nummelin, Esa
External Links: MGP
Documents Indexed: 46 Publications since 1976, including 1 Book
1 Further Contribution
Co-Authors: 8 Co-Authors with 18 Joint Publications
128 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 865 times in 637 Documents Cited by Year
General irreducible Markov chains and non-negative operators. Zbl 0551.60066
Nummelin, Esa
336
1984
A splitting technique for Harris recurrent Markov chains. Zbl 0364.60104
Nummelin, E.
125
1978
Markov additive processes. I: Eigenvalue properties and limit theorems. Zbl 0625.60027
Ney, P.; Nummelin, E.
74
1987
Geometric ergodicity of Harris recurrent Markov chains with applications to renewal theory. Zbl 0484.60056
Nummelin, Esa; Tuominen, Pekka
52
1982
Markov additive processes. II: Large deviations. Zbl 0625.60028
Ney, P.; Nummelin, E.
44
1987
Large deviations of uniformly recurrent Markov additive processes. Zbl 0602.60034
Iscoe, I.; Ney, P.; Nummelin, E.
32
1985
Geometric ergodicity and R-positivity for general Markov chains. Zbl 0378.60051
Nummelin, E.; Tweedie, R. L.
31
1978
The rate of convergence in Orey’s theorem for Harris recurrent Markov chains with applications to renewal theory. Zbl 0532.60060
Nummelin, Esa; Tuominen, Pekka
29
1983
Uniform limit theorems for non-singular renewal and Markov renewal processes. Zbl 0375.60095
Arjas, Elja; Nummelin, Esa; Tweedie, Richard L.
14
1978
On non-singular renewal kernels with an application to a semigroup of transition kernels. Zbl 0606.60080
Niemi, S.; Nummelin, E.
13
1986
Uniform and ratio limit theorems for Markov renewal and semi-regenerative processes on a general state space. Zbl 0402.60087
Nummelin, E.
12
1978
MC’s for MCMC’ists. Zbl 1217.60062
Nummelin, Esa
12
2002
The kink of cellular automaton Rule 18 performs a random walk. Zbl 0891.68065
Eloranta, Kari; Nummelin, Esa
12
1992
Regeneration in tandem queues. Zbl 0452.60094
Nummelin, E.
11
1981
Limit theorems for \(\alpha\)-recurrent semi-Markov processes. Zbl 0344.60052
Nummelin, Esa
9
1976
On the Poisson equation in the potential theory of a single kernel. Zbl 0748.31012
Nummelin, E.
6
1991
A conservation property for general GI/G/1 queues with an application to tandem queues. Zbl 0411.60093
Nummelin, E.
6
1979
A general failure model: optimal replacement with state dependent replacement and failure costs. Zbl 0442.90029
Nummelin, E.
6
1980
Strong ratio limit theorems for Phi-recurrent Markov chains. Zbl 0411.60069
Nummelin, E.
5
1979
Semi-Markov processes on a general state space: alpha-theory and quasi- stationarity. Zbl 0464.60085
Arjas, E.; Nummelin, E.; Tweedie, R. L.
5
1980
Œuvres complètes – collected works. Edited by Marc Yor and Bernard Bru. With forewords by Jean-Michel Bismut and Hans Föllmer. With commentaries by Marius Iosifescu, Torgny Lindvall, David Mason, Esa Nummelin and Eugene Seneta. Zbl 1460.01019
Doeblin, Wolfgang
4
2020
Renewal representations for Markov operators. Zbl 0746.60071
Nummelin, Esa
3
1991
Large deviations for functionals of stationary processes. Zbl 0685.60029
Nummelin, Esa
3
1990
A direct construction of the R-invariant measure for a Markov chain on a general state space. Zbl 0339.60064
Nummelin, Esa; Arjas, Elja
3
1976
Central limit theorems for Markov random walks. Zbl 0485.60020
Niemi, S.; Nummelin, E.
3
1982
Large deviation lower bounds for general sequences of random variables. Zbl 0741.60020
de Acosta, Alejandro D.; Ney, P.; Nummelin, E.
2
1991
Regeneration for chains of infinite order and random maps. Zbl 0818.60075
Ney, Peter; Nummelin, Esa
2
1993
On distributionally regenerative processes. Zbl 0818.60078
Nummelin, Esa
2
1994
The discrete skeleton method and a total variation limit theorem for continuous-time Markov processes. Zbl 0402.60067
Nummelin, E.
2
1978
Level I theory of large deviations in the ideal gas. Zbl 0698.60029
Lehtonen, T.; Nummelin, E.
2
1990
Large deviations of random vector fields with applications to economics. Zbl 0963.60026
Nummelin, Esa
2
2000
On the Perron-Frobenius theory for positive operators on an ordered vector space. Zbl 0597.47021
Nummelin, E.
2
1985
On the existence and convergence of price equilibria for random economies. Zbl 1161.91360
Nummelin, Esa
2
2000
Markov additive processes: Large deviations for the continuous time case. Zbl 0649.60031
Ney, Peter; Nummelin, Esa
1
1987
On the concepts of \(\alpha\)-recurrence and \(\alpha\)-transience for Markov renewal processes. Zbl 0349.60090
Nummelin, Esa
1
1977
A conditional weak law of large numbers. Zbl 0688.60019
Nummelin, E.
1
1989
Œuvres complètes – collected works. Edited by Marc Yor and Bernard Bru. With forewords by Jean-Michel Bismut and Hans Föllmer. With commentaries by Marius Iosifescu, Torgny Lindvall, David Mason, Esa Nummelin and Eugene Seneta. Zbl 1460.01019
Doeblin, Wolfgang
4
2020
MC’s for MCMC’ists. Zbl 1217.60062
Nummelin, Esa
12
2002
Large deviations of random vector fields with applications to economics. Zbl 0963.60026
Nummelin, Esa
2
2000
On the existence and convergence of price equilibria for random economies. Zbl 1161.91360
Nummelin, Esa
2
2000
On distributionally regenerative processes. Zbl 0818.60078
Nummelin, Esa
2
1994
Regeneration for chains of infinite order and random maps. Zbl 0818.60075
Ney, Peter; Nummelin, Esa
2
1993
The kink of cellular automaton Rule 18 performs a random walk. Zbl 0891.68065
Eloranta, Kari; Nummelin, Esa
12
1992
On the Poisson equation in the potential theory of a single kernel. Zbl 0748.31012
Nummelin, E.
6
1991
Renewal representations for Markov operators. Zbl 0746.60071
Nummelin, Esa
3
1991
Large deviation lower bounds for general sequences of random variables. Zbl 0741.60020
de Acosta, Alejandro D.; Ney, P.; Nummelin, E.
2
1991
Large deviations for functionals of stationary processes. Zbl 0685.60029
Nummelin, Esa
3
1990
Level I theory of large deviations in the ideal gas. Zbl 0698.60029
Lehtonen, T.; Nummelin, E.
2
1990
A conditional weak law of large numbers. Zbl 0688.60019
Nummelin, E.
1
1989
Markov additive processes. I: Eigenvalue properties and limit theorems. Zbl 0625.60027
Ney, P.; Nummelin, E.
74
1987
Markov additive processes. II: Large deviations. Zbl 0625.60028
Ney, P.; Nummelin, E.
44
1987
Markov additive processes: Large deviations for the continuous time case. Zbl 0649.60031
Ney, Peter; Nummelin, Esa
1
1987
On non-singular renewal kernels with an application to a semigroup of transition kernels. Zbl 0606.60080
Niemi, S.; Nummelin, E.
13
1986
Large deviations of uniformly recurrent Markov additive processes. Zbl 0602.60034
Iscoe, I.; Ney, P.; Nummelin, E.
32
1985
On the Perron-Frobenius theory for positive operators on an ordered vector space. Zbl 0597.47021
Nummelin, E.
2
1985
General irreducible Markov chains and non-negative operators. Zbl 0551.60066
Nummelin, Esa
336
1984
The rate of convergence in Orey’s theorem for Harris recurrent Markov chains with applications to renewal theory. Zbl 0532.60060
Nummelin, Esa; Tuominen, Pekka
29
1983
Geometric ergodicity of Harris recurrent Markov chains with applications to renewal theory. Zbl 0484.60056
Nummelin, Esa; Tuominen, Pekka
52
1982
Central limit theorems for Markov random walks. Zbl 0485.60020
Niemi, S.; Nummelin, E.
3
1982
Regeneration in tandem queues. Zbl 0452.60094
Nummelin, E.
11
1981
A general failure model: optimal replacement with state dependent replacement and failure costs. Zbl 0442.90029
Nummelin, E.
6
1980
Semi-Markov processes on a general state space: alpha-theory and quasi- stationarity. Zbl 0464.60085
Arjas, E.; Nummelin, E.; Tweedie, R. L.
5
1980
A conservation property for general GI/G/1 queues with an application to tandem queues. Zbl 0411.60093
Nummelin, E.
6
1979
Strong ratio limit theorems for Phi-recurrent Markov chains. Zbl 0411.60069
Nummelin, E.
5
1979
A splitting technique for Harris recurrent Markov chains. Zbl 0364.60104
Nummelin, E.
125
1978
Geometric ergodicity and R-positivity for general Markov chains. Zbl 0378.60051
Nummelin, E.; Tweedie, R. L.
31
1978
Uniform limit theorems for non-singular renewal and Markov renewal processes. Zbl 0375.60095
Arjas, Elja; Nummelin, Esa; Tweedie, Richard L.
14
1978
Uniform and ratio limit theorems for Markov renewal and semi-regenerative processes on a general state space. Zbl 0402.60087
Nummelin, E.
12
1978
The discrete skeleton method and a total variation limit theorem for continuous-time Markov processes. Zbl 0402.60067
Nummelin, E.
2
1978
On the concepts of \(\alpha\)-recurrence and \(\alpha\)-transience for Markov renewal processes. Zbl 0349.60090
Nummelin, Esa
1
1977
Limit theorems for \(\alpha\)-recurrent semi-Markov processes. Zbl 0344.60052
Nummelin, Esa
9
1976
A direct construction of the R-invariant measure for a Markov chain on a general state space. Zbl 0339.60064
Nummelin, Esa; Arjas, Elja
3
1976
all top 5

Cited by 712 Authors

17 Glynn, Peter W.
17 Nummelin, Esa
13 Meyn, Sean P.
12 Roberts, Gareth O.
11 Rosenthal, Jeffrey S.
10 Bertail, Patrice
10 Fuh, Cheng-Der
10 Golomoziy, Vitaliy
9 Clémençon, Stéphan
7 Collamore, Jeffrey F.
7 Hobert, James P.
7 Ney, Peter E.
7 Tweedie, Richard Lewis
6 Alsmeyer, Gerold
6 Guillin, Arnaud
6 Löcherbach, Eva
6 Miyazawa, Masakiyo
6 Nagaev, Sergeĭ Viktorovich
6 Tjøstheim, Dag B.
6 Veretennikov, Alexander Yu.
5 Athreya, Krishna Balasundaram
5 de Acosta, Alejandro D.
5 Fort, Gersende
5 Kartashov, Mykola Valentynovych
5 Lee, Oesook
5 Macci, Claudio
5 Mukhamedov, Farruh Maksutovich
5 Wu, Liming
5 Yu, Huizhen
4 Asmussen, Søren
4 Bezuglyi, Sergey I.
4 Bradley, Richard C. jun.
4 Chan, Hock Peng
4 Chen, Xia
4 Dedecker, Jérôme
4 Foss, Sergey G.
4 Gordienko, Evgueni I.
4 Jones, Galin L.
4 Jørgensen, Palle E. T.
4 Kamatani, Kengo
4 Karlsen, Hans Arnfinn
4 Latuszynski, Krzysztof
4 Li, Degui
4 Morozov, Evsei
4 Moulines, Eric
4 Nguyen, Dang Hai
4 Nyrhinen, Harri
4 Rio, Emmanuel
4 Robert, Philippe
4 Shur, Mikhail Grigoryevtsh
4 Thorisson, Hermann
4 Vihola, Matti
3 Adamczak, Radosław
3 Bednorz, Witold Marek
3 Borovkov, Aleksandr Alekseevich
3 Ciołek, Gabriela
3 Douc, Randal
3 Dupuis, Paul G.
3 Geyer, Charles J.
3 Gravner, Janko
3 Harel, Michel
3 Hervé, Loïc
3 Hu, Inchi
3 Jasra, Ajay
3 Jensen, Uwe
3 Kontoyiannis, Ioannis
3 Lai, Tze Leung
3 Ledoux, James
3 Liu, Meng
3 Liu, Yuanyuan
3 McDonald, David R.
3 Mentemeier, Sebastian
3 Merlevède, Florence
3 Mogul’skii, Anatolii Alfredovich
3 Montes-de-Oca, Raúl
3 Myklebust, Terje
3 Puri, Madan Lal
3 Roitershtein, Alexander
3 Rudnicki, Ryszard
3 Sgibnev, Mikhaĭl Sergeevich
3 Sigman, Karl
3 Silvestrov, Dmitrii
3 Sokal, Alan D.
3 Szewczak, Zbigniew Stanisław
3 Thomas, Lawrence E.
3 Tressou, Jessica
3 Zhao, Yiqiang Q.
2 Aaronson, Jon
2 Agapie, Alexandru
2 Agapie, Mircea
2 Aldous, David John
2 Andrieu, Christophe
2 Arjas, Elja
2 Bandi, Federico M.
2 Bansaye, Vincent
2 Baxendale, Peter H.
2 Ben-Ari, Iddo
2 Bladt, Mogens
2 Blank, Michael
2 Bolthausen, Erwin
...and 612 more Authors
all top 5

Cited in 177 Serials

85 Stochastic Processes and their Applications
47 The Annals of Applied Probability
30 Statistics & Probability Letters
19 Probability Theory and Related Fields
18 The Annals of Probability
18 Queueing Systems
17 Journal of Theoretical Probability
14 Journal of Statistical Physics
14 Journal of Applied Probability
13 Advances in Applied Probability
11 The Annals of Statistics
10 Bernoulli
8 Journal of Time Series Analysis
8 Theory of Probability and Mathematical Statistics
7 Journal of Econometrics
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
6 Acta Applicandae Mathematicae
6 Communications in Statistics. Theory and Methods
6 Econometric Theory
6 Stochastic Models
5 Journal of Mathematical Analysis and Applications
5 Journal of Multivariate Analysis
5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
5 Communications in Statistics. Simulation and Computation
5 Journal of Mathematical Sciences (New York)
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 Electronic Journal of Statistics
4 Mathematical Notes
4 Theory of Probability and its Applications
4 Journal of Statistical Planning and Inference
4 SIAM Journal on Control and Optimization
4 Advances in Applied Mathematics
4 Operations Research Letters
4 Journal of Nonparametric Statistics
4 Methodology and Computing in Applied Probability
3 The Canadian Journal of Statistics
3 Communications on Pure and Applied Mathematics
3 Lithuanian Mathematical Journal
3 Scandinavian Journal of Statistics
3 Journal of Differential Equations
3 Journal of Soviet Mathematics
3 Siberian Mathematical Journal
3 Transactions of the American Mathematical Society
3 OR Spektrum
3 Stochastic Analysis and Applications
3 Annals of Operations Research
3 Automation and Remote Control
3 Computational Statistics and Data Analysis
3 Electronic Journal of Probability
3 Electronic Communications in Probability
3 Doklady Mathematics
3 Positivity
3 Probability in the Engineering and Informational Sciences
2 Communications in Mathematical Physics
2 Journal of Mathematical Biology
2 Metrika
2 Annals of the Institute of Statistical Mathematics
2 Automatica
2 Dissertationes Mathematicae
2 Fuzzy Sets and Systems
2 Journal of the American Statistical Association
2 Journal of Functional Analysis
2 Kybernetika
2 Mathematica Slovaca
2 Proceedings of the American Mathematical Society
2 Scandinavian Actuarial Journal
2 Theoretical Computer Science
2 Ergodic Theory and Dynamical Systems
2 Physica D
2 Acta Mathematicae Applicatae Sinica. English Series
2 Optimization
2 European Journal of Operational Research
2 Stochastics and Stochastics Reports
2 Izvestiya: Mathematics
2 Mathematical Methods of Operations Research
2 Discrete and Continuous Dynamical Systems. Series B
2 Sādhanā
2 Stochastics and Dynamics
2 Multiscale Modeling & Simulation
2 Journal of Probability and Statistics
2 European Actuarial Journal
2 Statistics and Computing
1 Bulletin of the Australian Mathematical Society
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Linear and Multilinear Algebra
1 Physica A
1 Problems of Information Transmission
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Bulletin of Mathematical Biology
1 Advances in Mathematics
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Applied Mathematics and Computation
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
...and 77 more Serials
all top 5

Cited in 39 Fields

523 Probability theory and stochastic processes (60-XX)
126 Statistics (62-XX)
79 Numerical analysis (65-XX)
59 Operations research, mathematical programming (90-XX)
53 Dynamical systems and ergodic theory (37-XX)
29 Statistical mechanics, structure of matter (82-XX)
29 Biology and other natural sciences (92-XX)
29 Systems theory; control (93-XX)
28 Operator theory (47-XX)
26 Computer science (68-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Measure and integration (28-XX)
11 Partial differential equations (35-XX)
10 Ordinary differential equations (34-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Combinatorics (05-XX)
6 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Functional analysis (46-XX)
3 Quantum theory (81-XX)
2 History and biography (01-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Fluid mechanics (76-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Global analysis, analysis on manifolds (58-XX)

Citations by Year