Research Output per year

## Research Output 1981 2019

## 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/Report › Report › Other research output

## 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/Report › Report › Other research output

## 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/Report › Report › Other research output

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

van Doorn, E. A., Jan 2014, Enschede: University of Twente, Department of Applied Mathematics. 18 p. (Memorandum; no. 2033)Research output: Book/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## On the $\alpha$-classification of birth-death and quasi-birth-death processes

van Doorn, E. A., 2005, Enschede: University of Twente, Department of Applied Mathematics. (memorandum; no. 1755)Research output: Book/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Other research output

## 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/Report › Report › Other research output

## 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/Report › Report › Other research output

## 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/Report › Report › Other research output

## 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/Report › Report › Other research output

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## Analysis of random walks using orthogonal polynomials

van Doorn, E. A. & Coolen-Schrijner, P., 1998, Enschede: Universiteit Twente. 15 p.Research output: Book/Report › Report › Professional

## 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/Report › Report › Other research output

## Uniformization for Labda-positive Markov chains

Boucherie, R. J. & van Doorn, E. A., 1997, Enschede: Universiteit Twente. 19 p.Research output: Book/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional

## 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/Report › Report › Professional