Abstract
The last ten chapters and the five appendices have encompassed a wide range of mathematics that is derivable from the axioms of probability. Lest the reader think that we have come to the end of the subject of probability, we allow ourselves in this final parting the indulgence of mentioning some extensions that naturally follow from the development in the text. Each of the three results that are derived in this epilogue can be considered to be the start of a field of mathematics; it is hoped that the brief descriptions that follow will whet the students’ appetite to continue their study. It is more appropriate to view this closing chapter as a beginning rather than an end. This highlights the most intriguing aspect of mathematics — that it appears to be unending.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. Baccelli and P. Brémaud. Palm Probabilities and Stationary Queues. Lecture Notes in Statistics 41, Springer-Verlag, 1987.
P. Billingsley. Convergence of Probability Measures. John Wiley and Sons, 1968.
J.A. Bucklew. Large Deviation Techniques in Decision, Simulation, and Estimation. John Wiley and Sons, 1990.
P. Erdös and J. Spencer. Probabilistic Methods in Combinatorics. Academic Press, 1974.
W. Feller. An Introduction to Probability Theory and Its Applications-Volume II. John Wiley and Sons, 1968.
P. Glasserman and D.D. Yao. Monotone Struture in Discrete-Event Systems. John Wiley and Sons, 1994.
G. Samorodnitsky and M.S. Taqqu. Stable Non-Gaussian Random Processes, Stochastic Models with Infinite Variance. Chapman and Hall, 1994.
D. Stoyan. Comparison Methods for Queues and Other Stochastic Models. John Wiley and Sons, 1983.
A. Swartz and A. Weiss. Large Deviations for Performance Analysis. Chapman and Hall, 1995.
H. Takagi. Analysis of Polling Systems. The MIT Press, 1986.
P. Whittle. Systems in Stochatic Equilibrium. John Wiley and Sons, 1986.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media New York
About this chapter
Cite this chapter
Nelson, R. (1995). Epilogue and Special Topics. In: Probability, Stochastic Processes, and Queueing Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2426-4_11
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2426-4_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2846-7
Online ISBN: 978-1-4757-2426-4
eBook Packages: Springer Book Archive