On the tail of the stationary waiting time distribution and limit theorems for the M/G/1 queue
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 8 (1972) no. 3, pp. 255-263. 
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     author = {Cohen, J. W.},
     title = {On the tail of the stationary waiting time distribution and limit theorems for the {M/G/1} queue},
     journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
     pages = {255--263},
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     volume = {8},
     number = {3},
     year = {1972},
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Cohen, J. W. On the tail of the stationary waiting time distribution and limit theorems for the M/G/1 queue. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 8 (1972) no. 3, pp. 255-263. http://www.numdam.org/item/AIHPB_1972__8_3_255_0/

[1] J.W. Cohen, Regular variation of the stationary waiting time distribution for the GI/G/1 queueing system, to appear in J. Appl. Prob. 1972.

[2] J.W. Cohen, The Single Server Queue. North Holland Publ. Co., Amsterdam, 1969, chapter III . 7. | MR | Zbl

[3] J.W. Cohen, The suprema of the actual and virtual waiting times during a busy cycle of the Km/Kn/1 queueing system, to appear in Advances Appl. Prob., t. 4, 1972. | MR | Zbl

[4] Van Vugt, Limit theorems for the distribution of the supremum of the actual waiting times in a Km/G/1 and a G/Kn/1 queueing system. Report Technological Univ. Delft, 1969, in Dutch.

[5] D.L. Iglehart, Extreme values in the GI/G/1 queue. Report Stanford Univ., 1971, to appear in Ann. Math. Stat. | MR | Zbl

[6] H. Callaert and J.W. Cohen, A lemma on regular variation of a transient renewal function. Report Technological Univ. Delft, 1971, to appear in Zeitschrift für Wahrscheinlichkeitsrechnung. | MR | Zbl

[7] W. Feller, An Introduction to Probability Theory and its Applications. Wiley, New York, vol. II, 1966. | MR | Zbl

[8] J.F. Teugels, Regular variation of Markov renewal theorems. London Math. Soc., t. 2, 1970, p. 179-190. | MR | Zbl

[9] S.M. Berman, Limiting distributions of the maximum term in sequences of dependent variables. Ann. Math. Stat., t. 33, 1962, p. 894-908. | MR | Zbl