Recently Li and Peng (2009a) proposed a bias reduction method for estimating the endpoint of a distribution function via an external estimator for the so-called second order parameter. Unlike the same study for the tail index of a heavy tailed distribution, the above procedure requires a certain rate of convergence of the external estimator rather than consistence. This makes the choice of such...

In this paper, we present the design, implementation, and evaluation of a novel endpoint congestion control system that achieves near-optimal performance in all likely circumstances. Our approach, called the Probe Control Protocol (PCP), emulates network-based control by using explicit short probes to test and temporarily acquire available bandwidth. Like TCP, PCP requires no network support be...

We find an optimal Sobolev-type space on R all of whose functions admit a trace on subspaces of R of given dimension. A corresponding trace embedding theorem with sharp range is established.

Let s(n) be the threshold for which each directed path of order smaller than s ( n ) is extendible from one of its endpoints in some tournament T,. It is shown that s(n) is asymptotic to 3n/4, with an error term at most 3 for infinitely many n. There are six tournaments with s (n) = n.

The basis of potentiometry is the Nernst equation, which relates the concentration of electroactive species at the surface of an electrode (C) to the potential of that electrode (E); that is, for the reaction O + e = R where E is the formal redox potential of the electron transfer reaction. In a potentiometry experiment, the open-circuit potential (i.e., there is no measurable current through t...