Recurrence times of clusters of Poisson points

1 August 1969

journal article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 6 (2) , 372-388
https://doi.org/10.2307/3212007

Abstract

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.

Keywords

RECURRENCE
ANALOGOUS EVENTS
POISSON POINTS
INVERSION YIELDS
NUMERICAL INVERSION
LAPLACE TRANSFORM
PREVIOUS PAPER
BERNOULLI TRIALS
DISTRIBUTION FUNCTIONS

This publication has 1 reference indexed in Scilit:

Recurrent composite events
Journal of Applied Probability, 1967