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Erik Alexander van Doorn

dr.ir.

1981 …2019
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Research Output 1981 2019

2019

On a property of random walk polynomials involving Christoffel functions

van Doorn, E. A. & Szwarc, R., 1 Sep 2019, In : Journal of mathematical analysis and applications. 477, 1, p. 85-103 19 p.

Research output: Contribution to journalArticleAcademicpeer-review

Random walk
Polynomials
Polynomial
Birth-death Process
Equivalence
2018
5 Downloads (Pure)

Asymptotic period of an aperiodic Markov chain

van Doorn, E. A., 2018, In : Markov processes and related fields. 24, 5, p. 759-778 20 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Markov processes
Markov chain
Birth-death Process
Transition Probability
Countable
2 Citations (Scopus)
35 Downloads (Pure)

On the strong ratio limit property for discrete-time birth-death processes

van Doorn, E. A., 15 May 2018, In : Symmetry, integrability and geometry : methods and applications (SIGMA). 14, 9 p., 047.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Birth-death Process
Discrete-time
Sufficient Conditions
Transition Probability
2017
49 Downloads (Pure)

An orthogonal-polynomial approach to first-hitting times of birth-death processes

van Doorn, E. A., Jun 2017, In : Journal of Theoretical Probability. 30, 2, p. 594-607 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
First Hitting Time
Birth-death Process
Orthogonal Polynomials
Associated Polynomials
Dirichlet Form
27 Downloads (Pure)

Asymptotic period of an aperiodic Markov chain and the strong ratio limit property

van Doorn, E. A., Mar 2017, Enschede: University of Twente, Department of Applied Mathematics. 25 p. (Memorandum / Department of Applied Mathematics; no. 2059)

Research output: Book/ReportReportOther research output

File
2016
38 Downloads (Pure)

Shell polynomials and dual birth-death processes

van Doorn, E. A., 18 May 2016, In : Symmetry, integrability and geometry : methods and applications (SIGMA). 12, p. 049 15 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
2015
1 Citation (Scopus)
15 Downloads (Pure)

An orthogonal-polynomial approach to first-hitting times of birth-death processes

van Doorn, E. A., Apr 2015, Enschede: University of Twente, Department of Applied Mathematics. 13 p. (Memorandum of the Department of Applied Mathematics; no. 2044)

Research output: Book/ReportReportOther research output

5 Citations (Scopus)

Representations for the decay parameter of a birth-death process based on the Courant-Fischer theorem

van Doorn, E. A., 2015, In : Journal of applied probability. 52, 1, p. 278-289 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

43 Downloads (Pure)

Shell polynomials and dual birth-death processes

van Doorn, E. A., Dec 2015, Enschede: University of Twente, Department of Applied Mathematics. 21 p. (Memorandum; no. 2052)

Research output: Book/ReportReportOther research output

File
2 Citations (Scopus)

Spectral properties of birth-death polynomials

van Doorn, E. A., 15 Aug 2015, In : Journal of computational and applied mathematics. 284, p. 251-258 8 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Spectral Properties
Polynomials
Three-term Recurrence Relations
Birth-death Process
Polynomial
2014
61 Downloads (Pure)
File
56 Downloads (Pure)

Spectral properties of birth-death polynomials

van Doorn, E. A., Mar 2014, Enschede: University of Twente, Department of Applied Mathematics. 17 p. (Memorandum; no. 2035)

Research output: Book/ReportReportProfessional

File
2013
18 Downloads (Pure)

Corrigendum to “Representations for the extreme zeros of orthogonal polynomials” [J. Comput. Appl. Math. 233 (2009) 847–851]

van Doorn, E. A., van Foreest, N. D. & Zeifman, A. I., 2013, In : Journal of computational and applied mathematics. 244, p. 155-156

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Applied mathematics
Orthogonality
Orthogonal Polynomials
Extremes
Polynomials
29 Citations (Scopus)
41 Downloads (Pure)

Quasi-stationary distributions for discrete-state models

van Doorn, E. A. & Pollett, P. K., 2013, In : European journal of operational research. 230, 1, p. 1-14 14 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
13 Downloads (Pure)

Weighted sums of orthogonal polynomials related to birth-death processes with killing

van Doorn, E. A., 2013, In : Advances in dynamical systems and applications. 8, 2, p. 401-412 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
2012
5 Citations (Scopus)

Conditions for the existence of quasi-stationary distributions for birth-death processes with killing

van Doorn, E. A., 2012, In : Stochastic processes and their applications. 122, 6, p. 2400-2410 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Quasi-stationary Distribution
Birth-death Process
Decay Rate
Absorbing
Exceed
14 Downloads (Pure)

Weighted sums of orthogonal polynomials related to birth-death processes with killing

van Doorn, E. A., Dec 2012, Enschede: University of Twente, Department of Applied Mathematics. 14 p. (Memorandum / Department of Applied Mathematics; no. 1999)

Research output: Book/ReportReportProfessional

File
2011
35 Downloads (Pure)

Conditions for the existence of quasi-stationary distributions for birth-death processes with killing

van Doorn, E. A., Aug 2011, Enschede: University of Twente, Department of Applied Mathematics. 12 p. (Memorandum / Department of Applied Mathematics; no. 1949)

Research output: Book/ReportReportProfessional

File
354 Downloads (Pure)

Quasi-stationary distributions

van Doorn, E. A. & Pollett, P. K., Jun 2011, Enschede: University of Twente, Department of Applied Mathematics. 64 p. (Memorandum / Department of Applied Mathematics; no. 1945)

Research output: Book/ReportReportProfessional

File
1 Citation (Scopus)

Rate of convergence to stationarity of the system $M/M/N/N+R$

van Doorn, E. A., Dec 2011, In : Top. 19, 2, p. 336-350 15 p.

Research output: Contribution to journalArticleAcademicpeer-review

2010
25 Citations (Scopus)
42 Downloads (Pure)

Bounds and asymptotics for the rate of convergence of birth-death processes

van Doorn, E. A., Zeifman, A. I. & Panfilova, T. L., 2010, In : Theory of probability and its applications. 54, 1, p. 97-113 22 p., 10.1137/S0040585X97984097.

Research output: Contribution to journalArticleAcademicpeer-review

File
15 Downloads (Pure)

Rate of convergence to stationarity of the system $M/M/N/N+R$

van Doorn, E. A., Jul 2010, Enschede: University of Twente, Department of Applied Mathematics. 18 p. (Memorandum / Department of Applied Mathematics; no. 1923)

Research output: Book/ReportReportProfessional

File
2009

Bounds and asymptotics for the rate of convergence of birth-death processes

van Doorn, E. A., Zeifman, A. I. & Panfilova, T. L., 2009, In : Teoriya veroyatnostei i ee primeneniya. 54, 1, p. 18-38 22 p.

Research output: Contribution to journalArticleAcademicpeer-review

27 Downloads (Pure)

On the speed of convergence to stationarity of the Erlang loss system

van Doorn, E. A. & Zeifman, A. I., Jul 2009, In : Queueing systems. 63, 1-4, p. 241-252 12 p., 10.1007/s11134-009-9134-9.

Research output: Contribution to journalArticleAcademicpeer-review

File
17 Citations (Scopus)
43 Downloads (Pure)

On the speed of convergence to stationarity of the Erlang loss system

van Doorn, E. A. & Zeifman, A. I., Jul 2009, Enschede: University of Twente, Department of Applied Mathematics. 16 p. (Memorandum / Department of Applied Mathematics; no. 1901)

Research output: Book/ReportReportProfessional

File

Quasi-stationary distributions for reducible absorbing Markov chains in discrete time

van Doorn, E. A. & Pollett, P. K., 2009, In : Markov processes and related fields. 15, 2, p. 191-204 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)
30 Downloads (Pure)

Representations for the extreme zeros of orthogonal polynomials

van Doorn, E. A., van Foreest, N. D. & Zeifman, A. I., 2009, In : Journal of computational and applied mathematics. 233, 3, p. 847-851 5 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Orthogonal Polynomials
Extremes
Polynomials
Three-term Recurrence Relations
Birth-death Process
2008
45 Downloads (Pure)

Bounds and asymptotics for the rate of convergence of birth-death processes

van Doorn, E. A., Zeifman, A. I. & Panfilova, T. L., Sep 2008, Enschede: University of Twente, Department of Applied Mathematics. 22 p. (Memorandum; no. Supplement/1882)

Research output: Book/ReportReportProfessional

File
29 Downloads (Pure)

Quasi-stationary distributions for reducible absorbing Markov chains in discrete time

Pollett, P. K. & van Doorn, E. A., Nov 2008, Enschede: University of Twente, Department of Applied Mathematics. 16 p. (Memorandum / Department of Applied Mathematics; no. 10/1885)

Research output: Book/ReportReportProfessional

File
19 Citations (Scopus)
24 Downloads (Pure)

Survival in a quasi-death process

van Doorn, E. A. & Pollett, P. K., 2008, In : Linear algebra and its applications. 429, 4, p. 776-791 14 p., 10.1016/j.laa.2008.04.004.

Research output: Contribution to journalArticleAcademicpeer-review

File
2007

Orthogonal polynomials on $R^+$ and birth-death processes with killing

Coolen-Schrijner, P., Coolen-Schrijner, P. & van Doorn, E. A., 2007, Difference Equations, Special Functions and Orthogonal Polynomials, Proceedings of the International Conference. Elaydi, S., Cushing, J., Lasser, R., Ruffing, A., Papageorgiou, V. & Van Assche, W. (eds.). Singapore: World Scientific, p. 726-740 15 p. 10.1142/9789812770752_0059

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

53 Downloads (Pure)

Representations for the extreme zeros of orthogonal polynomials

van Doorn, E. A., van Foreest, N. D. & Zeifman, A. I., Aug 2007, Enschede: University of Twente, Department of Applied Mathematics. 9 p. (Memorandum / Department of Applied Mathematics; no. LNCS4549/1850)

Research output: Book/ReportReportProfessional

File
47 Downloads (Pure)

Survival in a quasi-death process

van Doorn, E. A. & Pollett, P. K., Jan 2007, Enschede: University of Twente, Department of Applied Mathematics. 14 p. (Memorandum / Department of Applied Mathematics; no. 1/1815)

Research output: Book/ReportReportProfessional

File
2006
5 Citations (Scopus)
37 Downloads (Pure)

On the α-classification of birth-death and quasi-birth-death processes

van Doorn, E. A., 2006, In : Stochastic models. 22, 2, p. 411-421 11 p., 10.1080/15326340600820364.

Research output: Contribution to journalArticleAcademicpeer-review

File
13 Citations (Scopus)

Quasi-stationary distributions for a class of discrete-time Markov chains

Coolen-Schrijner, P. & van Doorn, E. A., 1 Dec 2006, In : Methodology and computing in applied probability. 8, 4, p. 449-465 17 p.

Research output: Contribution to journalArticleAcademicpeer-review

Quasi-stationary Distribution
Markov chain
Discrete-time
Absorption
Absorbing
7 Citations (Scopus)
5 Downloads (Pure)

Quasi-stationary distributions for birth-death processes with killing

Coolen-Schrijner, P. & van Doorn, E. A., 2006, In : Journal of applied mathematics and stochastic analysis. 2006, 2, 15 p., 84640.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Quasi-stationary Distribution
Birth-death Process
Absorbing
Polynomials
Stationarity
2005
9 Downloads (Pure)

Birth-death processes with killing: orthogonal polynomials and quasi-stationary distributions

Coolen-Schrijner, P. & van Doorn, E. A., 2005, Enschede: University of Twente, Department of Applied Mathematics. 18 p. (Memorandum; no. 1765)

Research output: Book/ReportReportProfessional

File
Quasi-stationary Distribution
Birth-death Process
Orthogonal Polynomials
Absorbing
Stationarity
17 Citations (Scopus)
51 Downloads (Pure)

Birth-death processes with killing

van Doorn, E. A. & Zeifman, A. I., 2005, In : Statistics & probability letters. 72, 1, p. 33-42 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Birth-death Process
Transition Probability
Absorbing
Integral Representation
Absorption
21 Citations (Scopus)
280 Downloads (Pure)

Extinction probability in a birth-death process with killing

van Doorn, E. A. & Zeifman, A. I., 2005, In : Journal of applied probability. 42, 1, p. 185-198 14 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
13 Downloads (Pure)
File
9 Downloads (Pure)

Orthogonal polynomials on ℜ+ and birth-death processes with killing

Coolen-Schrijner, P. & van Doorn, E. A., 2005, Enschede: University of Twente, Department of Applied Mathematics. 13 p. (Memorandum; no. 1771)

Research output: Book/ReportReportProfessional

File
Three-term Recurrence Relations
Birth-death Process
Birth and Death Process
Orthogonal Polynomials
Markov chain
2004
3 Citations (Scopus)

A Note on the GI/GI/∞ System with Identical Service and Interarrival-Time Distributions

van Doorn, E. A. & Jagers, A. A., 2004, In : Queueing systems. 47, 1-2, p. 45-52 7 p.

Research output: Contribution to journalArticleAcademicpeer-review

Servers
Gamma distribution
Stationary Distribution
Server
Verify
38 Downloads (Pure)

Birth-death processes with killing

van Doorn, E. A. & Zeifman, A. I., 2004, Enschede: University of Twente, Department of Applied Mathematics. 12 p. (Memorandum Faculty of Mathematical Sciences; no. 1715)

Research output: Book/ReportReportProfessional

File
22 Downloads (Pure)

Extinction probability in a birth-death process with killing

van Doorn, E. A. & Zeifman, A. I., 2004, Enschede: University of Twente, Faculty of Mathematical Sciences. 20 p. (Memorandum Faculty of Mathematical Sciences; no. 1723)

Research output: Book/ReportReportProfessional

File
3 Downloads (Pure)

Quasi-stationary distributions for a class of discrete-time Markov chains

Coolen-Schrijner, P. & van Doorn, E. A., 2004, Enschede: University of Twente, Department of Applied Mathematics. 22 p. (Memorandum Faculty of Mathematical Sciences; no. 1737)

Research output: Book/ReportReportProfessional

File
Quasi-stationary Distribution
Markov chain
Discrete-time
Absorption
Absorbing
2003
12 Citations (Scopus)

Birth-death processes and associated polynomials

van Doorn, E. A., 2003, In : Journal of computational and applied mathematics. 153, 1-2, p. 497-506 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Birth-death Process
Birth and Death Process
Associated Polynomials
Polynomials
Recurrence
8 Citations (Scopus)
23 Downloads (Pure)

On associated polynomials and decay rates for birth-death processes

van Doorn, E. A., 2003, In : Journal of mathematical analysis and applications. 278, 2, p. 500-511 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Birth-death Process
Associated Polynomials
Decay Rate
Polynomials
Orthogonal Polynomials
3 Citations (Scopus)

Proofs for some conjectures of Rajaratnam and Takawira on the peakedness of handoff traffic

van Doorn, E. A. & Ta, A. T. K., 2003, In : IEEE transactions on vehicular technology. 52, 4, p. 953-957

Research output: Contribution to journalArticleAcademicpeer-review

Peakedness
Handoff
Performance Analysis
Traffic
System of Nonlinear Equations
2002
5 Downloads (Pure)

A Note on the GI/GI/∞ System with Identical Service and Interarrival-Time Distributions

van Doorn, E. A. & Jagers, A. A., 2002, Enschede: University of Twente, Department of Applied Mathematics. 8 p. (Memorandum Faculty of Mathematical Sciences; no. 1664)

Research output: Book/ReportReportProfessional

File
Gamma distribution
Stationary Distribution
Server
Verify
5 Downloads (Pure)

Proofs for some conjectures of Rajaratnam and Takawira

van Doorn, E. A. & Ta, A. T. K., 2002, Enschede: University of Twente, Department of Applied Mathematics. 11 p. (Memorandum Faculty of Mathematical Sciences; no. 1643)

Research output: Book/ReportReportProfessional

File