Limiting distribution of the collision resolution interval

P. Feldman, S. T. Rachev and L. Rüschendorf

Statistica Neerlandica, 1997, vol. 51, issue 1, 1-22

Abstract: We use the theory of probability metrics to study the asymptotic normality of the collison resolution intervals in the CTM multi‐access protocol under general conditions on the number of retransmitted messages and of new arrivals during the collision slots. Our main result establishes stability of the central limit theorem for the CTM algorithm. We provide extensive simulation results investigating the extent to which the mean of the collision resolution interval eventually becomes unstable for increasing values of n, the number of users who initially collide. The normal fit is numerically investigated and is shown to be quite satisfactory and stable with respect to moderate perturbations and n≥50.

Date: 1997
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1111/1467-9574.00034

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:stanee:v:51:y:1997:i:1:p:1-22

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0039-0402

Access Statistics for this article

Statistica Neerlandica is currently edited by Miroslav Ristic, Marijtje van Duijn and Nan van Geloven

More articles in Statistica Neerlandica from Netherlands Society for Statistics and Operations Research
Bibliographic data for series maintained by Wiley Content Delivery ().