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Recurrence times of clusters of Poisson points

Published online by Cambridge University Press:  14 July 2016

R.T. Leslie
R.T. Leslie*
Affiliation:
C.S.I.R.O., Newtown, N.S.W.
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Extract

In a previous paper (Leslie (1967)) the distribution of recurrence times for a particular set of success-failure patterns on a sequence of Bernoulli trials was investigated. We now consider the analogous events in continuous time and obtain the Laplace Transform (L.T.) of the distribution of recurrence times; numerical inversion yields the distribution functions.

Type
Research Papers
Information
Journal of Applied Probability , Volume 6 , Issue 2 , August 1969 , pp. 372 - 388
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

Fortet, R. (1950) Eléments de Calcul des Probabilités. Edit. C.N.R.S., Paris.Google Scholar
Leslie, R. T. (1967) Recurrent composite events. J. Appl. Prob. 4, 34–61.Google Scholar
Weeks, W. T. (1966) Numerical inversion of Laplace transforms using Laguerre functions. J. Ass. Comp. Mach. 13, 419–426.Google Scholar