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Communications in Statistics. Stochastic Models Volume 16, 2000 - Issue 5
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Original Articles

Quasistationary distributions for level-dependent quasi-birth-and-death processes

N.G. Bean Department of Applied Mathematics, University of Adelaide, 5005, South Australia
,
P.K. Pollett Department of Mathematics, University of Queensland, 4072, Queensland
&
P.G. Taylor Department of Applied Mathematics, University of Adelaide, 5005, South Australia
Pages 511-541 | Received 10 Nov 1998, Accepted 01 Jun 2000, Published online: 21 Mar 2007

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Moosa Sharafali, Mohammed A. Shahul Hameed & Venkata S.S. Yadavalli. (2009) A note on evaluating the risk in continuous review inventory systems. International Journal of Production Research 47:19, pages 5543-5558.
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ErikA. van Doorn. (2006) On the α-Classification of Birth-Death and Quasi-Birth-Death Processes. Stochastic Models 22:3, pages 411-421.
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Quan-Lin Li & Jinhua Cao. (2004) Two Types of RG-Factorizations of Quasi-birth-and-death Processes and Their Applications to Stochastic Integral Functionals. Stochastic Models 20:3, pages 299-340.
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Quan-Lin Li & Yiqiang Q. Zhao. (2003) β-Invariant Measures for Transition Matrices of GI/M/1 Type. Stochastic Models 19:2, pages 201-233.
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Articles from other publishers (14)

Gavin Armstrong, Krzysztof Bogdan, Tomasz Grzywny, Łukasz Leżaj & Longmin Wang. (2023) Yaglom limit for unimodal Lévy processes. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 59:3.
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Nigel G. Bean, Małgorzata M. O’Reilly & Zbigniew Palmowski. (2021) Yaglom limit for stochastic fluid models. Advances in Applied Probability 53:3, pages 649-686.
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Masakiyo Miyazawa. (2015) A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process. Queueing Systems 81:1, pages 1-48.
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Alexandre Brandwajn & Thomas Begin. (2016) A Recurrent Solution of PH/M/ c / N -Like and PH/M/ c -Like Queues . Journal of Applied Probability 49:1, pages 84-99.
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Alexandre Brandwajn & Thomas Begin. (2016) A Recurrent Solution of PH/M/c/N-Like and PH/M/c-Like Queues. Journal of Applied Probability 49:01, pages 84-99.
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A. Gómez-Corral & M. López García. (2011) Extinction times and size of the surviving species in a two-species competition process. Journal of Mathematical Biology 64:1-2, pages 255-289.
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James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithJeffrey P. Kharoufeh. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
Quan-Lin LiQuan-Lin Li. 2010. Constructive Computation in Stochastic Models with Applications. Constructive Computation in Stochastic Models with Applications 432 525 .
Quan-Lin LiQuan-Lin Li. 2010. Constructive Computation in Stochastic Models with Applications. Constructive Computation in Stochastic Models with Applications 526 573 .
Alexandre Brandwajn & Hongyun Wang. (2008) A conditional probability approach to //1-like queues. Performance Evaluation 65:5, pages 366-381.
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Holger Dette, Bettina Reuther, W. J. Studden & M. Zygmunt. (2007) Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix. SIAM Journal on Matrix Analysis and Applications 29:1, pages 117-142.
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Allan J. Motyer & Peter G. Taylor. (2016) Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators. Advances in Applied Probability 38:2, pages 522-544.
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Andrew G. Hart, Servet Martínez & Jaime San Martín. (2016) The λ-classification of continuous-time birth-and-death processes. Advances in Applied Probability 35:4, pages 1111-1130.
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. (2016) APR volume 30 issue 4 Cover and Back matter. Advances in Applied Probability 30:4, pages b1-b2.
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