This paper addresses the problem of the evaluation of the delay distribution via analytical means in IEEE 802.11 wireless ad hoc networks. We show that the asymptotic delay distribution can be expressed as a power law. Based on the latter result, we present a cross-layer delay estimation protocol and we derive new delay distribution based routing algorithms, which are well adapted to the QoS re...

This paper is concerned with the null distribution of the likelihood ratio statistic for testing the equality of variances of q nonnormal populations. It is known that the null distribution of this statistic converges to w q 1 under normality. We extend this result by obtaining an asymptotic expansion under general conditions. Numerical accuracies are studied for some approximations of the perc...

The asymptotic distribution of an M-estimator is studied when the underlying distribution is discrete. Asymptotic normality is shown to hold quite generally within the assumed parametric family. When the specification of the model is inexact, however, it is demonstrated that an M-estimator with a non-smooth score function, e.g. a Huber estimator, has a non-normal limiting distribution at certai...

We evaluate the delay distribution in IEEE 802.11 wireless ad hoc networks. We show that, under certain assumptions, the asymptotic delay distribution can be expressed as a power law. Using this result, we present a new asymptotic delay based routing protocol.

The Small Subgraph Conditioning Method has been used to study the almost sure existence and the asymptotic distribution of the number of regular spanning subgraphs of various types in random d -regular graphs. In this paper we use the method to determine the asymptotic distribution of the number of 3-star factors in random d -regular graphs for d ≥ 4.