Ebook: Combinatorial inference in geometric data analysis

Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Symbols; 1: Introduction; 1.1 On Combinatorial Inference; 1.2 On Geometric Data Analysis; 1.3 On Inductive Data Analysis; 1.4 Computational Aspects; 2: Cloud of Points in a Geometric Space; 2.1 Basic Statistics; 2.2 Covariance Structure of a Cloud; 2.3 Mahalanobis Distance and Principal Ellipsoids; 2.4 Partition of a Cloud; 3: Combinatorial Typicality Tests; 3.1 The Typicality Problem; 3.2 Combinatorial Typicality Test for Mean Point; 3.3 One-dimensional Case: Typicality Test for Mean