Author Publications
2013
Doorn van, Erik A. and Foreest van, Nicky and Zeifman, Alexander I. (2013) Corrigendum to “Representations for the extreme zeros of orthogonal polynomials” [J. Comput. Appl. Math. 233 (2009) 847–851]. Journal of Computational and Applied Mathematics, 244 . pp. 155-156. ISSN 0377-0427
2012
Doorn van, Erik A. (2012) Conditions for the existence of quasi-stationary distributions for birth-death processes with killing. Stochastic Processes and Their Applications, 122 (6). pp. 2400-2410. ISSN 0304-4149
Doorn van, Erik A. (2012) Weighted sums of orthogonal polynomials related to birth-death processes with killing. [Report]
2011
Doorn van, Erik A. (2011) Conditions for the existence of quasi-stationary distributions for birth-death processes with killing. [Report]
Doorn van, Erik A. (2011) Rate of convergence to stationarity of the system . TOP, 19 (2). pp. 336-350. ISSN 1134-5764
Doorn van, Erik A. and Pollett, Philip K. (2011) Quasi-stationary distributions. [Report]
2010
Doorn van, E.A. (2010) Rate of convergence to stationarity of the system . [Report]
Doorn van, 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
2009
Doorn van, 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
Doorn van, Erik A. and Foreest van, Nicky D. and Zeifman, Alexander I. (2009) Representations for the extreme zeros of orthogonal polynomials. Journal of Computational and Applied Mathematics, 233 (3). pp. 847-851. ISSN 0377-0427
Doorn van, Erik A. and Zeifman, Alexander I. (2009) On the speed of convergence to stationarity of the Erlang loss system. [Report]
Doorn van, Erik A. and Zeifman, Alexander I. (2009) On the speed of convergence to stationarity of the Erlang loss system. Queueing Systems, 63 (1-4). pp. 241-252. ISSN 0257-0130
Pollett, P.K. and van Doorn, E.A. (2009) Quasi-stationary distributions for reducible absorbing Markov chains in discrete time. Markov Processes and Related Fields, 15 (2). pp. 191-204. ISSN 1024-2953
2008
Doorn van, Erik A. and Pollett, Philip K. (2008) Survival in a quasi-death process. Linear Algebra and its Applications, 429 (4). pp. 776-791. ISSN 0024-3795
Doorn van, Erik A. and Zeifman, Alexander I. and Panfilova, Tatyana L. (2008) Bounds and asymptotics for the rate of convergence of birth-death processes. [Report]
Pollett, P.K. and van Doorn, E.A. (2008) Quasi-stationary distributions for reducible absorbing Markov chains in discrete time. [Report]
2007
Coolen-Schrijner, Pauline and Doorn van, Erik A. (2007) Orthogonal polynomials on and birth-death processes with killing. In: Difference Equations, Special Functions and Orthogonal Polynomials, Proceedings of the International Conference, 25-30 July 2005, Munich, Germany.
Doorn van, Erik A. and Foreest van, Nicky D. and Zeifman, Alexander I. (2007) Representations for the extreme zeros of orthogonal polynomials. [Report]
Doorn van, Erik A. and Pollett, Philip K. (2007) Survival in a quasi-death process. [Report]
2006
Coolen-Schrijner, Pauline and Doorn van, Erik 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
Coolen-Schrijner, Pauline and Doorn van, Erik A. (2006) Quasi-stationary distributions for birth-death processes with killing. Journal of Applied Mathematics and Stochastic Analysis, 2006 . p. 84640. ISSN 1048-9533
Doorn van, Erik A. (2006) On the α-classification of birth-death and quasi-birth-death processes. Stochastic Models, 22 (3). pp. 411-421. ISSN 1532-6349
2005
Coolen-Schrijner, P. and Doorn van, E.A. (2005) Birth-death processes with killing: orthogonal polynomials and quasi-stationary distributions. [Report]
Coolen-Schrijner, P. and Doorn van, E.A. (2005) Orthogonal polynomials on and birth-death processes with killing. [Report]
Doorn van, E.A. (2005) On the -classification of birth-death and quasi-birth-death processes. [Report]
Doorn van, Erik A. and Zeifman, Alexander I. (2005) Birth-death processes with killing. Statistics & Probability Letters, 72 (1). pp. 33-42. ISSN 0167-7152
Doorn van, Erik A. and Zeifman, Alexander I. (2005) Extinction probability in a birth-death process with killing. Journal of Applied Probability, 42 (1). pp. 185-198. ISSN 0021-9002
2004
Coolen-Schrijner, P. and Doorn van, E.A. (2004) Quasi-stationary distributions for a class of discrete-time Markov chains. [Report]
Doorn van, E.A. and Jagers, A.A. (2004) A note on the system with identical service and interarrival-time distributions. Queueing Systems, 47 (1-2). pp. 45-52. ISSN 0257-0130
Doorn van, E.A. and Zeifman, A.I. (2004) Birth-death processes with killing. [Report]
Doorn van, E.A. and Zeifman, A.I. (2004) Extinction probability in a birth-death process with killing. [Report]
2003
Doorn van, Erik A. (2003) Birth-death processes and associated polynomials. Journal of Computational and Applied Mathematics, 153 (1-2). pp. 497-506. ISSN 0377-0427
Doorn van, Erik A. (2003) On associated polynomials and decay rates for birth-death processes. Journal of Mathematical Analysis and Applications, 278 (2). pp. 500-511. ISSN 0022-247X
Doorn van, Erik A. and Ta, An T.K. (2003) Proofs for some conjectures of Rajaratnam and Takawira on the peakedness of handoff traffic. IEEE Transactions on Vehicular Technology, 52 (4). pp. 953-957. ISSN 0018-9545
2002
Coolen-Schrijner, Pauline and Doorn van, Erik A. (2002) The deviation matrix of a continuous-time Markov chain. Probability in the Engineering and Informational Sciences, 16 (3). pp. 351-366. ISSN 0269-9648
Doorn van, E.A. and Jagers, A.A. (2002) A note on the system with identical service and interarrival-time distributions. [Report]
Doorn van, E.A. and Kieu, A.T.T. (2002) Proofs for some conjectures of Rajaratnam and Takawira. [Report]
Doorn van, Erik A. (2002) Representations for the rate of convergence of birth-death processes. Theory of Probability and Mathematical Statistics, 65 . pp. 37-43. ISSN 1547-7363
Malhotra, R. and Dey, D. and Doorn van, E.A. and Koonen, A.M.J. (2002) Traffic modelling in a reconfigurable broadband nomadic computing environment. Performance Evaluation, 47 (4). pp. 255-267. ISSN 0166-5316
2001
Coolen-Schrijner, P. and Doorn van, E.A. (2001) The deviation matrix of a continuous-time Markov chain. [Report]
Coolen-Schrijner, Pauline and Doorn van, Erik A. (2001) On the convergence to stationarity of birth-death processes. Journal of Applied Probability, 38 (3). pp. 696-706. ISSN 0021-9002
Doorn van, E.A. (2001) Associated polynomials and birth-death processes. [Report]
Doorn van, E.A. (2001) Representations for the rate of convergence of birth-death processes. [Report]
Doorn van, E.A. (2001) On associated polynomials and decay rates for birth-death processes. [Report]
2000
Coolen-Schrijner, P. and Doorn van, E.A. (2000) On the convergence to stationarity of birth-death processes. [Report]
Lenin, R.B. and Parthasarathy, P.R. and Scheinhardt, W.R.W. and Doorn van, E.A. (2000) Families of birth-death processes with similar time-dependent behaviour. Journal of Applied Probability, 37 (3). pp. 835-849. ISSN 0021-9002
1999
Lenin, R.B. and Parthasarathy, P.R. and Scheinhardt, W.R.W. and Doorn van, E.A. (1999) Families of birth-death processes with similar time-dependent behaviour. [Report]
1998
Adan, I.J.B.F. and Doorn van, E.A. and Resing, J.A.C. and Scheinhardt, W.R.W. (1998) Analysis of a single server queue interacting with a fluid reservoir. Queueing Systems, 29 (2-4). pp. 313-336. ISSN 0257-0130
Boucherie, Richard J. and Doorn van, Erik A. (1998) Uniformization for λ-positive Markov chains. Stochastic Models, 14 (1 & 2). pp. 171-186. ISSN 1532-6349
Coolen-Schrijner, Pauline and Doorn van, Erik A. (1998) Analysis of random walks using orthogonal polynomials. Journal of Computational and Applied Mathematics, 99 (1-2). pp. 387-399. ISSN 0377-0427
1997
Chen, C.H. and Bouwmeester, H.J.M. and Doorn van, E.A. and Kruidhof, H. and Burggraaf, A.J. (1997) Oxygen permeation of La0.3Sr0.7CoO3-d. Solid State Ionics, 98 (1-2). pp. 7-13. ISSN 0167-2738
Coolen-Schrijner, Pauline and Doorn van, Erik A. (1997) Weak convergence of conditioned birth-death processes in discrete time. Journal of Applied Probability, 34 (1). pp. 46-53. ISSN 0021-9002
Kijima, M. and Nair, M.G. and Pollett, P.K. and Doorn van, E.A. (1997) Limiting conditional distributions for birth-death processes. Advances in Applied Probability, 29 (1). pp. 185-204. ISSN 0001-8678
1996
Adan, I.J.B.F. and Doorn van, E.A. and Resing, J.A.C. and Scheinhardt, W.R.W. (1996) A queueing system with two different service speeds. [Report]
Doorn van, E.A. and Scheinhardt, W.R.W. (1996) Analysis of birth-death fluid queues. [Report]
1995
Doorn van, Erik A. (1995) Some new results for chain-sequence polynomials. Journal of Computational and Applied Mathematics, 57 (1-2). pp. 309-317. ISSN 0377-0427
Doorn van, Erik A. and Schrijner, Pauline (1995) Ratio limits and limiting conditional distributions for discrete-time birth-death processes. Journal of Mathematical Analysis and Applications, 190 (1). pp. 263-284. ISSN 0022-247X
Kijima, Masaaki and Doorn van, Erik A. (1995) Weighted sums of orthogonal polynomials with positive zeros. Journal of Computational and Applied Mathematics, 65 (1-3). pp. 195-206. ISSN 0377-0427
1993
Doorn van, Erik A. and Panken, Frans J.M. (1993) Blocking probabilities in a loss system with arrivals in geometrically distributed batches and heterogeneous service requirements. IEEE/ACM Transactions on Networking, 1 (6). pp. 664-667. ISSN 1063-6692
Doorn van, Erik A. and Schrijner, Pauline (1993) Random walk polynomials and random walk measures. Journal of Computational and Applied Mathematics, 49 (1-3). pp. 289-296. ISSN 0377-0427
1990
Arem van, Bart and Doorn van, Erik A. (1990) Analysis of a queuing model for slotted ring networks. Computer Networks and ISDN Systems, 20 (1-5). pp. 309-314. ISSN 0169-7552
1988
Doorn van, Erik A. and Regterschot, G.J.K. (1988) Conditional PASTA. Operations Research Letters, 71 (5). pp. 229-232. ISSN 0167-6377
Mehta, Madan Lal and Doorn van, Erik A. (1988) Inequalities for Charlier polynomials with application to teletraffic theory. Journal of Mathematical Analysis and Applications, 133 (2). pp. 449-460. ISSN 0022-247X
1987
Doorn van, Erik A. (1987) Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices. Journal of Approximation Theory, 51 (3). pp. 254-266. ISSN 0021-9045
Doorn van, Erik A. (1987) The indeterminate rate problem for birth-death processes. Pacific Journal of Mathematics, 130 (2). pp. 379-393. ISSN 0030-8730
1986
Doorn van, Erik A. (1986) A note on orthogonal polynomials and oscillation criteria for second order linear difference equations. Journal of Mathematical Analysis and Applications, 120 (1). pp. 354-359. ISSN 0022-247X
Doorn van, Erik A. (1986) Connectivity of circulant digraphs. Journal of Graph Theory, 10 (1-4). pp. 9-14. ISSN 0364-9024
Jagers, A.A. and Doorn van, Erik A. (1986) On the continued Erlang loss function. Operations Research Letters, 5 (1). pp. 43-46. ISSN 0167-6377
1981
Doorn van, Erik A. (1981) On the time dependent behaviour of the truncated birth-death process. Stochastic Processes and Their Applications, 11 (3). pp. 261-271. ISSN 0304-4149