We consider goodness-of-fit tests of the Cauchy distribution based on weighted integrals of the squared distance between the empirical characteristic function of the standardized data and the characteristic function of the standard Cauchy distribution. For standardization of data Ciirtler and Henze (2000, Annals of the Institute of Statistical Mathematics, 52, 267-286) used the median and the i...

We consider goodness-of-fit tests of Cauchy distribution based on weighted integrals of the squared distance of the difference between the empirical characteristic function of the standardized data and the characteristic function of the standard Cauchy distribution. For standardization of data Gürtler and Henze (2000) used the median and the interquartile range. In this paper we use maximum lik...

Maximum Entropy Distributions on Graphs by Andre Yohannes Wibisono Master of Arts in Statistics University of California, Berkeley Professor Michael I. Jordan, Chair We study the maximum entropy distribution on weighted graphs with a given expected degree sequence. This distribution on graphs is characterized by independent edge weights parameterized by vertex potentials at each node. Using the...