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Erik Alexander van Doorn

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1981 …2019
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Research Output 1981 2019

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2017
28 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)

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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

45 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

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2014
61 Downloads (Pure)
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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

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2012
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

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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

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359 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

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2010
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

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2009
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

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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

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30 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

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2007
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

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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

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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

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Quasi-stationary Distribution
Birth-death Process
Orthogonal Polynomials
Absorbing
Stationarity
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

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Three-term Recurrence Relations
Birth-death Process
Birth and Death Process
Orthogonal Polynomials
Markov chain
2004
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

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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

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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

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Quasi-stationary Distribution
Markov chain
Discrete-time
Absorption
Absorbing
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

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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

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2001
8 Downloads (Pure)

Associated polynomials and birth-death processes

van Doorn, E. A., 2001, Enschede: University of Twente, Department of Applied Mathematics. (Memorandum / Department of Applied Mathematics; no. 1581)

Research output: Book/ReportReportOther research output

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Birth and Death Process
Associated Polynomials
Birth-death Process
Recurrence
Orthogonal Polynomials
30 Downloads (Pure)

On associated polynomials and decay rates for birth-death processes

van Doorn, E. A., 2001, Enschede: University of Twente, Department of Applied Mathematics. (Memorandum / Department of Applied Mathematics; no. 1592)

Research output: Book/ReportReportOther research output

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Birth-death Process
Associated Polynomials
Decay Rate
Orthogonal Polynomials
Moment
8 Downloads (Pure)

Representations for the rate of convergence of birth-death processes

van Doorn, E. A., 2001, Enschede: University of Twente, Department of Applied Mathematics. 11 p. (Memorandum / Department of Applied Mathematics; no. 1584)

Research output: Book/ReportReportOther research output

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Birth-death Process
Birth and Death Process
Spectral Representation
Transition Probability
Orthogonal Polynomials
70 Downloads (Pure)

The deviation matrix of a continuous-time Markov chain

Coolen-Schrijner, P. & van Doorn, E. A., 2001, Enschede: University of Twente, Department of Applied Mathematics. 20 p. (Memorandum / Department of Applied Mathematics; no. 1567)

Research output: Book/ReportReportOther research output

File
Continuous-time Markov Chain
Deviation
Pi
Birth-death Process
Transition Probability Matrix
2000
37 Downloads (Pure)

On the convergence to stationarity of birth-death processes

Coolen-Schrijner, P. & van Doorn, E. A., 2000, Enschede: University of Twente, Department of Applied Mathematics. (Memorandum / Department of Applied Mathematics; no. 1554)

Research output: Book/ReportReportOther research output

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On the convergence to stationarity of birth-death processes

Coolen-Schrijner, P. & van Doorn, E. A., 2000, Enschede: Universiteit Twente. 14 p.

Research output: Book/ReportReportProfessional

1999
46 Downloads (Pure)

Families of birth-death processes with similar time-dependent behaviour

Lenin, R. B., Parthasarathy, P. R., Scheinhardt, W. R. W. & van Doorn, E. A., 1999, Enschede: University of Twente, Department of Applied Mathematics. 14 p. (Memorandum / Department of Applied Mathematics; no. 1486)

Research output: Book/ReportReportProfessional

File
1998

Analysis of random walks using orthogonal polynomials

van Doorn, E. A. & Coolen-Schrijner, P., 1998, Enschede: Universiteit Twente. 15 p.

Research output: Book/ReportReportProfessional

9 Citations (Scopus)

Analysis of random walks using orthogonal polynomials

van Doorn, E. A. & Coolen-Schrijner, P., 1998, Enschede: University of Twente, Department of Applied Mathematics.

Research output: Book/ReportReportOther research output

1997

Uniformization for Labda-positive Markov chains

Boucherie, R. J. & van Doorn, E. A., 1997, Enschede: Universiteit Twente. 19 p.

Research output: Book/ReportReportProfessional

1996

A fluid queue driven by an infinite-state birth-death process

van Doorn, E. A. & Scheinhardt, W. R. W., 1996, Enschede: Universiteit Twente. 20 p.

Research output: Book/ReportReportProfessional

13 Downloads (Pure)

Analysis of birth-death fluid queues

van Doorn, E. A. & Scheinhardt, W. R. W., 1996, Enschede: University of Twente, Faculty of Applied Mathematics. 16 p. (Memorandum; no. 1318)

Research output: Book/ReportReportProfessional

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Fluids
9 Downloads (Pure)

A queueing system with two different service speeds

Adan, I. J. B. F., van Doorn, E. A., Resing, J. A. C. & Scheinhardt, W. R. W., 1996, Enschede: Universiteit Twente. 22 p. (Memorandum; no. 1316)

Research output: Book/ReportReportProfessional

File
Servers
Asynchronous transfer mode
1995

Limiting conditional distributions for birth-death processes

Kijima, M., Nair, M. G., Pollett, P. K. & van Doorn, E. A., 1995, University of Twente, Faculty of Mathematical Sciences. 23 p. (Memorandum Faculty of Mathematical Sciences; no. 1252)

Research output: Book/ReportReportProfessional

Weak convergence of conditioned birth-death processes in discrete time

Coolen-Schrijner, P. & van Doorn, E. A., 1995, University of Twente, Faculty of Mathematical Sciences. 12 p. (Memorandum Faculty of Mathematical Sciences; no. 1278)

Research output: Book/ReportReportProfessional

5 Citations (Scopus)

Weighted sums of orthogonal polynomials with positive zeros

Kijima, M. & van Doorn, E. A., 1995, University of Twente, Faculty of Mathematical Sciences. 17 p. (Memorandum Faculty of Mathematical Sciences; no. 1257)

Research output: Book/ReportReportProfessional

1992

Asymptotics for birth-death polynomials and quasi-limiting distributions for birth-death processes

van Doorn, E. A. & Kijima, M., 1992, University of Twente, Faculty of Mathematical Sciences. 33 p. (Memorandum Faculty of Mathematical Sciences; no. 1048)

Research output: Book/ReportReportProfessional

Blocking probabilities in a loss system with arrivals in geometrically distributed batches and heterogeneous service requirements

van Doorn, E. A. & Panken, F. J. M., 1992, University of Twente, Faculty of Mathematical Sciences. 8 p. (Memorandum Faculty of Mathematical Sciences; no. 1074)

Research output: Book/ReportReportProfessional

Geometric ergodicity, quasi-stationarity and ratio limits for random walks

van Doorn, E. A. & Coolen-Schrijner, P., 1992, University of Twente, Faculty of Mathematical Sciences. 46 p. (Memorandum Faculty of Mathematical Sciences; no. 1033)

Research output: Book/ReportReportProfessional

Some new results for chain-sequence polynomials

van Doorn, E. A., 1992, University of Twente, Faculty of Mathematical Sciences. 12 p. (Memorandum Faculty of Mathematical Sciences; no. 1081)

Research output: Book/ReportReportProfessional

1991

Random walk polynomials and random walk measures

van Doorn, E. A. & Coolen-Schrijner, P., 1991, University of Twente, Faculty of Mathematical Sciences. 11 p. (Memorandum Faculty of Mathematical Sciences; no. 1007)

Research output: Book/ReportReportProfessional

1990

Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes

van Doorn, E. A., 1990, University of Twente, Faculty of Mathematical Sciences. 22 p. (Memorandum Faculty of Mathematical Sciences; no. 849)

Research output: Book/ReportReportProfessional