{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T03:56:24Z","timestamp":1759118184983},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2012,1]]},"DOI":"10.1007\/s11134-011-9257-7","type":"journal-article","created":{"date-parts":[[2011,9,26]],"date-time":"2011-09-26T16:47:08Z","timestamp":1317055628000},"page":"23-35","source":"Crossref","is-referenced-by-count":9,"title":["On the infimum attained by a reflected L\u00e9vy process"],"prefix":"10.1007","volume":"70","author":[{"given":"K.","family":"D\u0119bicki","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K. M.","family":"Kosi\u0144ski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Mandjes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,9,27]]},"reference":[{"key":"9257_CR1","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1287\/ijoc.7.1.36","volume":"7","author":"J. Abate","year":"1995","unstructured":"Abate, J., Whitt, W.: Numerical inversion of Laplace transforms of probability distributions. ORSA J. Comput. 7, 36\u201343 (1995)","journal-title":"ORSA J. Comput."},{"key":"9257_CR2","doi-asserted-by":"crossref","first-page":"820","DOI":"10.1214\/105051604000000125","volume":"14","author":"J. Albin","year":"2004","unstructured":"Albin, J., Samorodnitsky, G.: On overload in a storage model, with a self-similar and infinitely divisible input. Ann. Appl. Probab. 14, 820\u2013844 (2004)","journal-title":"Ann. Appl. Probab."},{"key":"9257_CR3","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1214\/aoap\/1028903531","volume":"8","author":"S. Asmussen","year":"1998","unstructured":"Asmussen, S.: Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities. Ann. Appl. Probab. 8, 354\u2013374 (1998)","journal-title":"Ann. Appl. Probab."},{"key":"9257_CR4","volume-title":"Applied Probability and Queues","author":"S. Asmussen","year":"2002","unstructured":"Asmussen, S.: Applied Probability and Queues, 2nd edn. Springer, Berlin (2002)","edition":"2"},{"key":"9257_CR5","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1090\/S0002-9947-1957-0084900-X","volume":"85","author":"G. Baxter","year":"1957","unstructured":"Baxter, G., Donsker, M.: On the distribution of the supremum functional for processes with stationary independent increments. Trans. Am. Math. Soc. 85, 73\u201387 (1957)","journal-title":"Trans. Am. Math. Soc."},{"key":"9257_CR6","volume-title":"L\u00e9vy Processes","author":"J. Bertoin","year":"1996","unstructured":"Bertoin, J.: L\u00e9vy Processes. Cambridge University Press, Cambridge (1996)"},{"key":"9257_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-7652-0","volume-title":"Handbook of Brownian Motion\u2014Facts and Formulae","author":"A. Borodin","year":"1996","unstructured":"Borodin, A., Salminen, P.: Handbook of Brownian Motion\u2014Facts and Formulae. Birkh\u00e4user, Basel (1996)"},{"key":"9257_CR8","doi-asserted-by":"crossref","first-page":"811","DOI":"10.1007\/BF02674739","volume":"41","author":"A. Borovkov","year":"2000","unstructured":"Borovkov, A.: Estimates for the distribution of sums and maxima of sums of random variables when the Cram\u00e9r condition is not satisfied. Sib. Math. J. 41, 811\u2013848 (2000)","journal-title":"Sib. Math. J."},{"key":"9257_CR9","first-page":"1","volume":"13","author":"A. Borovkov","year":"2003","unstructured":"Borovkov, A., Boxma, O.: On large deviation probabilities for random walks with heavy tails. Sib. Adv. Math. 13, 1\u201331 (2003)","journal-title":"Sib. Adv. Math."},{"key":"9257_CR10","unstructured":"Cline, D., Hsing, T.: Large deviation probabilities for sums of random variables with heavy or subexponential tails. Technical report, Texas A& M University (1994)"},{"key":"9257_CR11","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0304-4149(94)90020-5","volume":"51","author":"A. Acosta De","year":"1994","unstructured":"De Acosta, A.: Large deviations for vector-valued L\u00e9vy processes. Stoch. Process. Appl. 51, 75\u2013115 (1994)","journal-title":"Stoch. Process. Appl."},{"key":"9257_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5320-4","volume-title":"Large Deviations Techniques and Applications","author":"A. Dembo","year":"1998","unstructured":"Dembo, A., Zeitouni, O.: Large Deviations Techniques and Applications, 2nd edn. Springer, New York (1998)","edition":"2"},{"key":"9257_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0269964806060013","volume":"20","author":"P. Den Iseger","year":"2006","unstructured":"Den Iseger, P.: Numerical transform inversion using Gaussian quadrature. Probab. Eng. Inf. Sci. 20, 1\u201344 (2006)","journal-title":"Probab. Eng. Inf. Sci."},{"key":"9257_CR14","doi-asserted-by":"crossref","first-page":"1946","DOI":"10.1214\/07-AOP382","volume":"36","author":"D. Denisov","year":"2008","unstructured":"Denisov, D., Dieker, A., Shneer, V.: Large deviations for random walks under subexponentiality: the big-jump domain. Ann. Probab. 36, 1946\u20131991 (2008)","journal-title":"Ann. Probab."},{"key":"9257_CR15","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1239\/jap\/1269610820","volume":"47","author":"K. D\u0119bicki","year":"2010","unstructured":"D\u0119bicki, K., Es-Saghouani, A., Mandjes, M.: Transient asymptotics of L\u00e9vy-driven queues. J. Appl. Probab. 47, 109\u2013129 (2010)","journal-title":"J. Appl. Probab."},{"key":"9257_CR16","doi-asserted-by":"crossref","first-page":"768","DOI":"10.1239\/aap\/1158685001","volume":"38","author":"A. Dieker","year":"2006","unstructured":"Dieker, A.: Applications of factorization embeddings for L\u00e9vy processes. Adv. Appl. Probab. 38, 768\u2013791 (2006)","journal-title":"Adv. Appl. Probab."},{"key":"9257_CR17","volume-title":"Introductory Lectures on Fluctuations of L\u00e9vy Process with Applications","author":"A. Kyprianou","year":"2006","unstructured":"Kyprianou, A.: Introductory Lectures on Fluctuations of L\u00e9vy Process with Applications. Springer, Berlin (2006)"},{"key":"9257_CR18","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/s11134-008-9063-z","volume":"58","author":"A. Pacheco","year":"2008","unstructured":"Pacheco, A., Ribeiro, H.: Consecutive customer losses in regular and oscillating M X \/G\/1\/n systems. Queueing Syst. 58, 121\u2013136 (2008)","journal-title":"Queueing Syst."},{"key":"9257_CR19","doi-asserted-by":"crossref","first-page":"805","DOI":"10.1090\/S0002-9947-1989-0997680-9","volume":"313","author":"S. Port","year":"1989","unstructured":"Port, S.: Stable processes with drift on the line. Trans. Am. Math. Soc. 313, 805\u2013841 (1989)","journal-title":"Trans. Am. Math. Soc."},{"key":"9257_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-13052-0","volume-title":"Stochastic Networks and Queues","author":"P. Robert","year":"2003","unstructured":"Robert, P.: Stochastic Networks and Queues. Springer, Berlin (2003)"},{"key":"9257_CR21","volume-title":"Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance","author":"G. Samorodnitsky","year":"1994","unstructured":"Samorodnitsky, G., Taqqu, M.: Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance. Chapman & Hall, London (1994)"},{"key":"9257_CR22","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1137\/1109090","volume":"9","author":"V. Zolotarev","year":"1964","unstructured":"Zolotarev, V.: The first passage time of a level and the behaviour at infinity for a class of processes with independent increments. Theory Probab. Appl. 9, 653\u2013661 (1964)","journal-title":"Theory Probab. Appl."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.springerlink.com\/index\/pdf\/10.1007\/s11134-011-9257-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,20]],"date-time":"2017-06-20T06:58:36Z","timestamp":1497941916000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11134-011-9257-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9,27]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["9257"],"URL":"https:\/\/doi.org\/10.1007\/s11134-011-9257-7","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9,27]]}}}