Generalized Cauchy means

A Two-parameter Generalized Skew-Cauchy Distribution

In this paper, we discuss a new generalization of univariate skew-Cauchy distribution with two parameters, we denoted this by GSC(&lambda1, &lambda2), that it has more flexible than the skew-Cauchy distribution (denoted by SC(&lambda)), introduced by Behboodian et al. (2006). Furthermore, we establish some useful properties of this distribution and by two numerical example, show that GSC(&lambd...

Generalized Steffensen Means

Generalized Cauchy Identities

We present an analogue of the differential calculus in which the role of polynomials is played by certain ordered sets and trees. Our combinatorial calculus has all nice features of the usual calculus and has an advantage that the elements of the considered ordered sets might carry some additional information. In this way an analytic proof of generalized Cauchy identities from the previous work...

Generalized Cauchy Determinants

This paper classifies the sequences that satisfy a generalization of the Cauchy determinant formula. They are the generalized Fibonacci numbers, up to a scalar multiple. Following this, it is determined which of these sequences generate Hankel matrices of unit fractions with integer inverses. As a corollary we obtain another proof that the Filbert Matrix has an inverse with integer entries, com...

Generalized Cauchy Type

Self-similar process with long-range dependence LRD , that is, fractional Gaussian noise fGn with LRD is a widely used model of Internet traffic. It is indexed by its Hurst parameterHfGn that linearly relates to its fractal dimensionDfGn. Note that, on the one hand, the fractal dimensionD of traffic measures local self-similarity. On the other hand, LRD is a global property of traffic, which is...