Möbius transformation and Cauchy parameter estimation

Parameter Estimation of the Cauchy Distribution in Information Theory Approach

As we know the Cauchy distribution plays an important role in Probability Theory and Statistics. In this paper, we investigate the estimation of the location and the scale parameter. Both the one-dimensional problem and the multidimensional problem are studied for large sample. In the one-dimensional case, we give two algorithms for the estimation. The first one is an iterative method for which...

Inhomogeneous Two-Parameter Abstract Cauchy Problem

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...

The Cauchy-schlömilch Transformation

Many methods for the evaluation of definite integrals have been developed since the early stages of Integral Calculus, which resulted in a variety of ad-hoc techniques for producing closed-form expressions. Although a general procedure applicable to all integrals is undoubtedly unattainable, it is within reason to expect a systematic cataloguing procedure for large groups of definite integrals....

inhomogeneous two-parameter abstract cauchy problem