147
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

On the Exponential Decay Rate of the Tail of a Discrete Probability Distribution

Pages 31-42 | Received 12 Aug 2002, Accepted 04 Jul 2003, Published online: 16 Feb 2007

References

  • Duffield , N.G. 1994 . Exponential bounds for queues with Markovian arrivals . Queueing Systems , 17 : 413 – 430 .
  • Falkenberg , E. 1994 . On the asymptotic behaviour of the stationery distribution of Markov chain of M G 1 type . Stochastic Models , 10 : 75 – 98 .
  • Glynn , P.W. and Whitt , W. 1994 . Logarithmic asymptotics for steady-state tail probabilities in a single server queue . Adv. Appl. Prob , 31A : 131 – 156 .
  • Hille , E. 1977 . Analytic Function Theory Vol. II , New York : Chelsea Publishing Company .
  • Markushevich , A.I. 1985 . Theory of Functions of a Complex Variable New York : Chelsea Publishing Company .
  • Neuts , M.F. 1989 . Structured Stochastic Matrix of M G 1 Type and Their Applications New York : Marcel Dekker .
  • Neuts , M.F. 1981 . Matrix-Geometric Solutions in Stochastic Models An Algorithmic Approach Baltimore : Johns Hopkins University Press .
  • Pölya , G. and Szegö , G. 1972 . Problems and Theorems in Analysis Vol. I , Springer Verlag .
  • Takahashi , Y. 1981 . Asymptotic exponentiality of the tail of the waiting time distribution in a PH PH c queue . Adv. Appl. Prob , 13 : 619 – 630 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.