Topic
Poisson clumping
About: Poisson clumping is a research topic. Over the lifetime, 17 publications have been published within this topic receiving 779 citations.
Papers
TL;DR: In this article, convergence results for transient characteristics of an M/M/∞ system such as the period of time the occupation process remains above a given state, the area swept by this process above this state and the number of customers arriving during this period are given.
Abstract: Convergence results are given for transient characteristics of an M/M/∞ system such as the period of time the occupation process remains above a given state, the area swept by this process above this state and the number of customers arriving during this period. These results are precise in contrast to approximations derived in the framework of the Poisson clumping heuristic introduced by Aldous.
60 citations
TL;DR: The distribution of the proportion of genome shared identical by descent (IBD) by c half-sibs is calculated and it is shown explicitly that there is no "equivalent" number of independently segregating loci that will yield the same results as with the genomic continuum model.
27 citations
TL;DR: In this paper, the authors extend these results beyond the Markovian setting using the theory for stationary point processes and introduce two notions of asymptotic exponentiality in variance and independence and study their implications on the mean value of the hitting time under various initial probability measures.
10 citations
Posted Content•
TL;DR: The distribution of maximum line length of idle cars is sought, and conjectured probabilistic asymptotics for 2-blocks of red lights are justified for 3- blocks of green lights.
Abstract: In discrete time, $\ell$-blocks of red lights are separated by $\ell$-blocks of green lights. Cars arrive at random. We seek the distribution of maximum line length of idle cars, and justify conjectured probabilistic asymptotics for $2 \leq \ell \leq 3$.
7 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2020 | 1 |
| 2019 | 2 |
| 2018 | 1 |
| 2014 | 1 |
| 2004 | 1 |
| 2000 | 1 |