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Classification: MSC-60J80
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2017

van Doorn, E.A. (2017) Asymptotic period of an aperiodic Markov chain and the strong ratio limit property. Memorandum 2059, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2016

van Doorn, E.A. (2016) Shell polynomials and dual birth-death processes. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 12. 049. ISSN 1815-0659 *** ISI Impact 1,040 ***

2015

Chen, N. and Litvak, N. and Olvera-Cravioto, M. (2015) Ranking algorithms on directed configuration networks. Memorandum 2046, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
van Doorn, E.A. (2015) Spectral properties of birth-death polynomials. Journal of computational and applied mathematics, 284. pp. 251-258. ISSN 0377-0427 *** ISI Impact 1,328 ***
van Doorn, E.A. (2015) Representations for the decay parameter of a birth-death process based on the Courant-Fischer theorem. Journal of applied probability, 52 (1). pp. 278-289. ISSN 0021-9002 *** ISI Impact 0,665 ***
van Doorn, E.A. (2015) An orthogonal-polynomial approach to first-hitting times of birth-death processes. Memorandum 2044, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
van Doorn, E.A. (2015) Shell polynomials and dual birth-death processes. Memorandum 2052, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2013

van Doorn, E.A. (2013) Weighted sums of orthogonal polynomials related to birth-death processes with killing. Advances in Dynamical Systems and Applications, 8 (2). pp. 401-412. ISSN 0973-5321

2012

van Doorn, E.A. (2012) Weighted sums of orthogonal polynomials related to birth-death processes with killing. Memorandum 1999, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2010

van Doorn, E.A. and Zeifman, A.I. and Panfilova, T.L. (2010) Bounds and asymptotics for the rate of convergence of birth-death processes. Theory of Probability and its Applications, 54 (1). pp. 97-113. ISSN 0040-585X *** ISI Impact 0,408 ***

2009

van Doorn, E.A. and van Foreest, N.D. and Zeifman, A.I. (2009) Representations for the extreme zeros of orthogonal polynomials. Journal of computational and applied mathematics, 233 (3). pp. 847-851. ISSN 0377-0427 *** ISI Impact 1,328 ***
van Doorn, E.A. and Zeifman, A.I. and Panfilova, T.L. (2009) Bounds and asymptotics for the rate of convergence of birth-death processes. Teoriya Veroyatnostei i ee Primeneniya, 54 (1). pp. 18-38. ISSN 0040-361X

2008

van Doorn, E.A. and Zeifman, A.I. and Panfilova, T.L. (2008) Bounds and asymptotics for the rate of convergence of birth-death processes. Memorandum 1882, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2007

Coolen-Schrijner, P. and van Doorn, E.A. (2007) Orthogonal polynomials on $R^+$ and birth-death processes with killing. (Invited) In: Difference Equations, Special Functions and Orthogonal Polynomials, Proceedings of the International Conference, 25-30 July 2005, Munich, Germany. pp. 726-740. World Scientific. ISBN 978-981-270-643-0
van Doorn, E.A. and van Foreest, N.D. and Zeifman, A.I. (2007) Representations for the extreme zeros of orthogonal polynomials. Memorandum 1850, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
Volkovich, Y.V. and Litvak, N. and Donato, D. (2007) Determining factors behind the pagerank log-log plot. In: Proceedings 5th International Workshop, WAW 2007, 11-12 Dec 2007, San Diego, USA. pp. 108-123. Lecture Notes in Computer Science 4863. Springer Verlag. ISSN 0302-9743 ISBN 978-3-540-77003-9
Volkovich, Y.V. and Litvak, N. and Donato, D. (2007) Determining factors behind the PageRank log-log plot. Memorandum 1823, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2006

Coolen-Schrijner, P. and van Doorn, E.A. (2006) Quasi-stationary distributions for birth-death processes with killing. Journal of Applied Mathematics and Stochastic Analysis, 2006. 84640. ISSN 1048-9533
Coolen-Schrijner, P. and van Doorn, E.A. (2006) Quasi-stationary distributions for a class of discrete-time Markov chains. Methodology and Computing in Applied Probability, 8 (4). pp. 449-465. ISSN 1387-5841 *** ISI Impact 0,782 ***
van Doorn, E.A. (2006) On the α-classification of birth-death and quasi-birth-death processes. Stochastic models, 22 (3). pp. 411-421. ISSN 1532-6349 *** ISI Impact 0,360 ***

2005

Coolen-Schrijner, P. and van Doorn, E.A. (2005) Birth-death processes with killing: orthogonal polynomials and quasi-stationary distributions. Memorandum 1765, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
Coolen-Schrijner, P. and van Doorn, E.A. (2005) Orthogonal polynomials on $\mathbb{R}^+$ and birth-death processes with killing. Memorandum 1771, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van Doorn, E.A. (2005) On the $\alpha$-classification of birth-death and quasi-birth-death processes. Memorandum 1755, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

2004

Coolen-Schrijner, P. and van Doorn, E.A. (2004) Quasi-stationary distributions for a class of discrete-time Markov chains. Memorandum 1737, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van Doorn, E.A. and Zeifman, A.I. (2004) Birth-death processes with killing. Memorandum 1715, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van Doorn, E.A. and Zeifman, A.I. (2004) Extinction probability in a birth-death process with killing. Memorandum 1723, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

2001

Coolen-Schrijner, P. and van Doorn, E.A. (2001)
The deviation matrix of a continuous-time Markov chain.
Memorandum 1567, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van Doorn, E.A. (2001)
Associated polynomials and birth-death processes.
Memorandum 1581, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van Doorn, E.A. (2001)
Representations for the rate of convergence of birth-death processes.
Memorandum 1584, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van Doorn, E.A. (2001)
On associated polynomials and decay rates for birth-death processes.
Memorandum 1592, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

2000

Coolen-Schrijner, P. and van Doorn, E.A. (2000)
On the convergence to stationarity of birth-death processes.
Memorandum 1554, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

1999

Lenin, R.B. and Parthasarathy, P.R. (1999)
A computational approach for a fluid queue driven by a truncated birth-death process.
Memorandum 1501, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
Lenin, R.B. and Parthasarathy, P.R. and Scheinhardt, W.R.W. and van Doorn, E.A. (1999)
Families of birth-death processes with similar time-dependent behaviour.
Memorandum 1486, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

1998

van Doorn, E.A. and Coolen-Schrijner, P. (1998)
Analysis of random walks using orthogonal polynomials.
Memorandum 1431, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690