-
2
-
-
0031285154
-
The quasistationary behaviour of quasi-birth-and-death processes
-
N. G. Bean, L. Bright, G. Latouche, C.E.M. Pearce, P. K. Pollett, and P. G. Taylor. The quasistationary behaviour of quasi-birth-and-death processes. Annals of Applied Probability, 7:134-155, 1997.
-
(1997)
Annals of Applied Probability
, vol.7
, pp. 134-155
-
-
Bean, N.G.1
Bright, L.2
Latouche, G.3
Pearce, C.E.M.4
Pollett, P.K.5
Taylor, P.G.6
-
5
-
-
84959949711
-
Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
-
L. Bright and P.G. Taylor. Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes. Stochastic Models, 11:497-526, 1995.
-
(1995)
Stochastic Models
, vol.11
, pp. 497-526
-
-
Bright, L.1
Taylor, P.G.2
-
7
-
-
0041092917
-
Note on the stochastic theory of a self-catalytic chemical reaction, I
-
Dambrine, S. and Moreau, M. Note on the stochastic theory of a self-catalytic chemical reaction, I, Physica, 106A:559-573, 1981.
-
(1981)
Physica
, vol.106 A
, pp. 559-573
-
-
Dambrine, S.1
Moreau, M.2
-
8
-
-
33747269973
-
Note on the stochastic theory of a self-catalytic chemical reaction, II
-
Dambrine, S. and Moreau, M. Note on the stochastic theory of a self-catalytic chemical reaction, II, Physica, 106A:574-588, 1981.
-
(1981)
Physica
, vol.106 A
, pp. 574-588
-
-
Dambrine, S.1
Moreau, M.2
-
9
-
-
0034701960
-
Further results on the relationship between μ-invariant measures and quasi-stationary distributions in continuous-time Markov chains
-
To appear
-
S. Elmes, P.K. Pollett, and D. Walker. Further results on the relationship between μ-invariant measures and quasi-stationary distributions in continuous-time Markov chains. Mathematical and Computer Modelling, 25, 2000. To appear.
-
(2000)
Mathematical and Computer Modelling
, vol.25
-
-
Elmes, S.1
Pollett, P.K.2
Walker, D.3
-
10
-
-
0020765584
-
Quasi-stationary distribution of a two-unit warm-standby redundant system
-
Kalpakam, S. and Shahul Hameed, M.A. Quasi-stationary distribution of a two-unit warm-standby redundant system, J. Appl. Probab., 20:429-435, 1983.
-
(1983)
J. Appl. Probab.
, vol.20
, pp. 429-435
-
-
Kalpakam, S.1
Shahul Hameed, M.A.2
-
11
-
-
0000036102
-
The differential equations of birth and death processes, and the Stieltjes moment problem
-
S. Karlin and J.L. McGregor. The differential equations of birth and death processes, and the Stieltjes moment problem. Trans. Amer. Math., 85:489-546, 1957.
-
(1957)
Trans. Amer. Math.
, vol.85
, pp. 489-546
-
-
Karlin, S.1
McGregor, J.L.2
-
12
-
-
84968465028
-
The classification of birth and death processes
-
S. Karlin and J.L. McGregor. The classification of birth and death processes. Trans. Amer. Math., 86:366-400, 1957.
-
(1957)
Trans. Amer. Math.
, vol.86
, pp. 366-400
-
-
Karlin, S.1
McGregor, J.L.2
-
13
-
-
2042488747
-
Many server queueing processes with Poisson input and exponential service times
-
S. Karlin and J.L. McGregor. Many server queueing processes with Poisson input and exponential service times. Pacific J. Math., 8:87-118, 1958.
-
(1958)
Pacific J. Math.
, vol.8
, pp. 87-118
-
-
Karlin, S.1
McGregor, J.L.2
-
14
-
-
0001101077
-
A ratio limit theorem for (sub) Markov chains on {1, 2, 3...} with bounded jumps
-
H. Kesten. A ratio limit theorem for (sub) Markov chains on {1, 2, 3 . . .} with bounded jumps. Adv. Appl. Prob., 27(3):652-691, 1995.
-
(1995)
Adv. Appl. Prob.
, vol.27
, Issue.3
, pp. 652-691
-
-
Kesten, H.1
-
15
-
-
0001698452
-
The introduction, increase, and crash of reindeer on St. Matthew Island
-
Klein, D.R. The introduction, increase, and crash of reindeer on St. Matthew Island, J. Wildlife Man., 32:351-367, 1968.
-
(1968)
J. Wildlife Man.
, vol.32
, pp. 351-367
-
-
Klein, D.R.1
-
16
-
-
0003954185
-
-
Blackie & Son Ltd., London and Glasgow, English translation edition
-
K. Knopp. Theory and Applications of Infinite Series. Blackie & Son Ltd., London and Glasgow, English translation edition, 1928.
-
(1928)
Theory and Applications of Infinite Series
-
-
Knopp, K.1
-
18
-
-
21344482962
-
A logarithmic reduction algorithm for quasi-birth-death processes
-
G. Latouche and V. Ramaswami. A logarithmic reduction algorithm for quasi-birth-death processes. J. Appl. Prob., 30:650-674, 1993.
-
(1993)
J. Appl. Prob.
, vol.30
, pp. 650-674
-
-
Latouche, G.1
Ramaswami, V.2
-
19
-
-
33747261410
-
The wolves of Ilse Royale
-
U.S. Govt. Printing Office, Washington D.C.
-
Mech, L.D. The wolves of Ilse Royale, Fauna of the National Parks: U.S. Fauna Series, 7, U.S. Govt. Printing Office, Washington D.C., 1966.
-
(1966)
Fauna of the National Parks: U.S. Fauna Series
, vol.7
-
-
Mech, L.D.1
-
22
-
-
0002706326
-
Quasistationary distributions for some autocatalytic reactions
-
Parsons, R.W. and Pollett, P.K. Quasistationary distributions for some autocatalytic reactions, J. Statist. Phys., 46:249-254, 1987.
-
(1987)
J. Statist. Phys.
, vol.46
, pp. 249-254
-
-
Parsons, R.W.1
Pollett, P.K.2
-
23
-
-
33747235306
-
Quasi-stationary distribution of a two-unit dependent parallel system
-
Eindhoven University of Technology
-
Pijnenburg, M. and Ravichandran, N. Quasi-stationary distribution of a two-unit dependent parallel system, Technical Report, Eindhoven University of Technology, 1990.
-
(1990)
Technical Report
-
-
Pijnenburg, M.1
Ravichandran, N.2
-
24
-
-
0000167911
-
Matrix analytic methods: A tutorial overview with some extensions & new results
-
S.R. Chakravarthy and A.S. Alfa, editors, Matrix-Analytic Methods in Stochastic Models, Marcel Dekker
-
V. Ramaswami. Matrix analytic methods: a tutorial overview with some extensions & new results. In S.R. Chakravarthy and A.S. Alfa, editors, Matrix-Analytic Methods in Stochastic Models, volume 183 of Lecture Notes in Pure and Applied Mathematics. Marcel Dekker, 1996.
-
(1996)
Lecture Notes in Pure and Applied Mathematics
, vol.183
-
-
Ramaswami, V.1
-
25
-
-
0030367202
-
Some properties of the rate operators in level dependent quasi-birth-and-death processes with a countable number of phases
-
V. Ramaswami and P.G. Taylor. Some properties of the rate operators in level dependent quasi-birth-and-death processes with a countable number of phases. Stochastic Models, 12:143-164, 1996.
-
(1996)
Stochastic Models
, vol.12
, pp. 143-164
-
-
Ramaswami, V.1
Taylor, P.G.2
-
26
-
-
0009157129
-
-
Ph.D. Thesis, Faculty of Applied Mathematics, University of Twente, The Netherlands
-
P. Schrijner. Quasi-Stationarity of Discrete-Time Markov Chains. Ph.D. Thesis, Faculty of Applied Mathematics, University of Twente, The Netherlands, 1995.
-
(1995)
Quasi-Stationarity of Discrete-Time Markov Chains
-
-
Schrijner, P.1
-
28
-
-
0000564723
-
On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states
-
E. Seneta and D. Vere-Jones. On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states. J. Appl. Prob., 3:403-434, 1966.
-
(1966)
J. Appl. Prob.
, vol.3
, pp. 403-434
-
-
Seneta, E.1
Vere-Jones, D.2
-
29
-
-
1842549364
-
-
Honours Thesis, Department of Applied Mathematics, The University of Adelaide, 5005, Australia, June
-
J.R. Thorne. An Investigation of Algorithms for Calculating the Fundamental Matrices in Level Dependent Quasi-Birth-Death Processes. Honours Thesis, Department of Applied Mathematics, The University of Adelaide, 5005, Australia, June 1997.
-
(1997)
An Investigation of Algorithms for Calculating the Fundamental Matrices in Level Dependent Quasi-Birth-Death Processes
-
-
Thorne, J.R.1
-
30
-
-
0032270921
-
Truncation approximations of invariant measures for Markov chains
-
R.L. Tweedie. Truncation approximations of invariant measures for Markov chains. J. Appl. Prob., 35(3):517-536, 1998.
-
(1998)
J. Appl. Prob.
, vol.35
, Issue.3
, pp. 517-536
-
-
Tweedie, R.L.1
-
32
-
-
84963071637
-
Geometric ergodicity in denumerable Markov chains
-
D. Vere-Jones. Geometric ergodicity in denumerable Markov chains. Quart. J. Math. Oxford (2), 13:7-28, 1962.
-
(1962)
Quart. J. Math. Oxford (2)
, vol.13
, pp. 7-28
-
-
Vere-Jones, D.1
-
33
-
-
84972513565
-
Ergodic properties of nonnegative matrices - I
-
D Vere-Jones. Ergodic properties of nonnegative matrices - I. Pacific Journal of Mathematics, 22(2):361-386, 1967.
-
(1967)
Pacific Journal of Mathematics
, vol.22
, Issue.2
, pp. 361-386
-
-
Vere-Jones, D.1
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