Abstract
Let {N(t), t ≥ 0} be a nonnegative-integer-valued stochastic process that counts the occurrences of a given event. That is, N(t) is the number of events in the time interval [0, t]. For example, N(t) can be the number of bulb replacements in a lamp that is continuously on, and the dead bulbs are immediately replaced.
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References
Cinlar, E.: Introduction to Stochastic Processes. Prentice-Hall, Englewood Cliffs (1975)
Cox, D.R.: The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables. Proc. Cambridge Philo. Soc. 51, 433–440 (1955)
Feller, W.: An Introduction to Probability Theory and Its Applications, vol. I. Wiley, New York (1968)
Karlin, S., Taylor, H.M.: A First Course in Stochastic Processes. Academic Press, New York (1975)
Kleinrock, L.: Queuing Systems, Volume 1: Theory. Wiley, New York (1975)
Kulkarni, V.G.: Modeling and Analysis of Stochastic Systems. Chapman & Hall, London (1995)
Lindwall, T.: Lectures on the Coupling Method. Wiley, New York (1992)
Sigman, K., Wolff, R.: A review of regenerative processes. SIAM Rev. 35(2), 269–288 (1993)
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Lakatos, L., Szeidl, L., Telek, M. (2019). Renewal and Regenerative Processes. In: Introduction to Queueing Systems with Telecommunication Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-15142-3_4
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DOI: https://doi.org/10.1007/978-3-030-15142-3_4
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