Mean equicontinuity and mean sensitivity

Generalization of -Centroidal Mean and its Dual

In this paper, the generalized -centroidal mean and its dual form in 2 variables are introduced. Also, studied some properties and prove their monotonicity. Further, shown that various means are partic- ular cases of generalized $bf{alpha}$-centroidal mean.

k-equitable mean labeling

What Does the Mean Mean?

As the Internet has become a big business, its performance has become an important question. Several companies have started monitoring Internet performance, many ISPs now conduct internal performance measurements, and there are also independent organizations such as RIPE that conduct regular performance monitoring of ISPs. The exact form of measurements may vary, but typically they are based on...

How Mean is the Mean?

In this paper we voice concerns about the uncritical manner in which the mean is often used as a summary statistic in psychological research. We identify a number of implicit assumptions underlying the use of the mean and argue that the fragility of these assumptions should be more carefully considered. We examine some of the ways in which the potential violation of these assumptions can lead u...

The Maximum Entropy on the Mean Method, Noise and Sensitivity

In this paper we address the problem of building convenient criteria to solve linear and noisy inverse problems of the form y = Ax + n. Our approach is based on the speci cation of constraints on the solution x through its belonging to a given convex set C. The solution is chosen as the mean of the distribution which is the closest to a reference measure on C with respect to the Kullback diverg...