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Publications

* BOOK:
* Szekli, R. (1995) Stochastic Ordering and Dependence in Applied Probability. Lecture Notes in Statistics 97,  Springer Verlag, New York                

Papers:

 

* Rolski, T. and Szekli, R. (1982) Networks of work conserving-normal queues. In: Disney, R. L. Ott, T. J. (ed.) Applied Probability-Computer  Science: the Interface Volume II 477-497


* Szekli, R. (1984) Little's formula for work conserving-normal G/G/1 queues in series. Appl. Math. (Warsaw) 18, 343-350

* Szekli, R. (1986) On the concavity of the waiting time distribution in some GI/G/1 queues. Journal of Applied Prob. 23, 555-561

* Szekli, R. (1987) A note on moment inequalities for order statistics from starshaped distributions. Appl. Math. (Warsaw) 19, 65-68

* Szekli, R. (1987) On the complete monotonicity of the waiting time density in some GI/G/k queues. Queueing Systems 1, 401-406

* Szekli, R. (1988) A note on preservation of self-decomposability under geometric compouding. Statist. Probab. Lett. 6, 231-236

* Szekli, R. (1990) On the concavity of the infinitesimal renewal function. Statist. Probab. Lett. 10, 181-184

* with Kwiecinski, A. (1991) Compensator conditions for stochastic ordering of point processes. Journal of Applied  Prob. 28, 751-761

* with Rolski, T. (1991) Stochastic ordering and thinning of point processes. Stochastic Process and their Appl. 37, 299-312

* with Disney, R. L., Hur, S. (1994) MR/GI/1 queues with positively correlated arrival stream. Journals of Applied  Prob. 31, 497-514

* with Disney, R. L., Hur, S. (1994) Note on performance comparison of MR/GI/1 queues. Queueing Systems 17, 451-470

* with Daduna, H. (1995) Dependencies in Markovian networks. Advances in Applied Prob. 25, 226-254

* with Shaked, M. (1995) Comparison of replacement policies via point processes. Advances in Applied. Prob. 27, 1079-1103

* with Daduna, H.(1996) A queueing theoretical proof of increasing property of Polya frequency functions. Statist. Probab. Lett. 26, 233-242

* with Kwiecinski, A. (1996) Some monotonicity and dependence properties of self exciting point processes. Annals of Applied  Prob. 6, 1211-1231

* with Last, G. (1998) Stochastic comparison of repairable systems by coupling. Journal of Applied Prob. 35,  348-370

* with Last, G. (1998) Asymptotic and monotonicity properties of repairable systems.  Advances in  Applied Prob. 30, 1089-1110

* with Disney, R. L., Morais, P. McNickle, D. Sun, H. (1998) A queue with correlated arrivals.  Investigacion Operativa  2-1998

* with Daduna, H. (2000) On the correlation of sojourn times in queueing networks of exponential multiserver queues. Queueing Systems 34, 169-181.

* with Last, G. (1999) Time and Palm stationarity of repairable systems. Stochastic Processes and their Appl. 79, 17-43

* with Last G. (2001) Moments and Blackwell's convergence for repairable systems with heavy tailed lifetimes,  Markov Processes and  Related Fields 7, 469-491.

* with Kulik R. (2001) A sufficient condition for long range dependance of stationary point processes ,  Journal of Applied Prob. 38, 570-581.

* with Daduna, H. (2002) Conditional job observer properties in multitype closed queueing networks,  Journal of Applied Prob. 39, 865-881

* with  Daduna, H.(2003) Dependence structure of sojourn times via partition separated ordering,  Operations Research Letters 31, 462-472

* with Daduna, H. (2004) On the correlation structure of closed queueing networks,   Stochastic Models 20, 1-29

* with Kulik, R.  (2005)  Dependence orderings for some functionals of marked point processes,  Journal of Multivariate Analysis, 92,145-173 pdf 

* with H. Daduna, M. Schwarz, C. Sauer, R. Kulik,  (2006)  M/M/1 systems with different inventory management policies and lost sales,  Queueing Systems, 54, 55-78

* with H. Daduna, C. Sauer, R.Kulik, , (2006)  Isotone differences ordering of networks with unreliable servers,  Probability in Engineering and Informational Sciences, 20, 575-594

* with H. Daduna (2006) Dependence ordering of Markov Processes,  Journal of Applied Prob.  43, 1-22,   pdf



* (2010) Stochastic ordering for queueing networks,  Chapter in  for "Queueing networks: A fundamental approach" VanDijk, Boucherie, ed.
pdf

* (2008) with Hans Daduna, Christian Malchin,  Weak convergence limits for sojourn times in cyclic queues under heavy traffic conditions, pdf,  J. Appl. Probab. Volume 45, Number 2 (2008), 333-346.

*with H. Daduna (2008)  Impact of routing  on correlation strength in stationary queueing network processes,  Journal of  Applied  Prob. Volume 45, Number 4

* with G. Last (2011)  Comparisons and asymptotics for empty space hazard functions of germ-grain models.  Adv. in Appl. Probab.
, Vol. 43,  Number 4,  899-1194

* with P. Lorek . Strong stationary duality for Möbius monotone Markov chains, Queueing  Systems  June 2012,  Volume 71,  pp 79-95,

* with P. Lorek, (2013)  Computable bounds on the spectral gap for unreliable Jackson networks  arXiv:1101.0332 to appear in Adv in Appl. Prob.

* with P. Lorek , (2014)  Strong Stationary Duality for Möbius monotone Markov chains: examples .  submitted

with H. Daduna, (2014)   Correlation formulas for Markovian network processes in a random environment. Preprintreihe Bereichs Statistik und Stochastische Prozesse. 2013-05. Submitted

preprints

*with R. Kulik ,  Comparison of sequences of dependent random variables using supermodular order with applications pdf

*with R. Kulik,  Long Range Dependence of continuous-time processes associated with stationary point processes pdf