Title: Confidence regions for Pareto parameters from single and independent samples
Authors: Udo Kamps - RWTH Aachen University (Germany) [presenting]
Abstract: Based on a single and on two independent samples, joint confidence regions for parameters of Pareto distributions are proposed with minimum volume properties and without assigning the confidence level to dimensions. In the one-sample case, comparisons are made to former simultaneous confidence sets for Pareto parameters by means of simulation and a real data set. The two-sample case is studied in various set-ups and comprises, e.g., a simultaneous confidence region for the scale parameters and a common shape parameter. Such confidence regions can also be developed for type-II right censored data.