ABSTRACT

Examines classic algorithms, geometric diagrams, and mechanical principles for enhancing visualization of statistical estimation procedures and mathematical concepts in physics, engineering, and computer programming.

chapter 1|12 pages

CHAPTER 1

chapter 2|16 pages

Abstract Geometrical and Mechanical Representations

Abstract Geometrical and Mechanical Representations Likelihood Functions 2.1.1 Likelihood Functions as Abstract

chapter 3|34 pages

Mechanical Models for Multidimensional Medians

Mechanical Models for Multidimensional Medians Dimensional Medians 3.1.1 Potential Energy Models for

chapter 4|34 pages

Method of Least Squared Deviations

Method of Least Squared Deviations Means 4.1.1 Mechanical Models for One-

chapter 5|46 pages

Method of Least Absolute Deviation

Method of Least Absolute Deviation Medians 5.1.1 Mechanical Models for One-

chapter 6|20 pages

Minimax Absolute Deviation Method

Minimax Absolute Deviation Method Means 6.1.1 Observation Space Representation

chapter 7|14 pages

Method of Least Median of Squared Deviations

Method of Least Median of Squared Deviations Means 7.1.1 Heuristic Derivation of the Least

chapter 8|14 pages

Mechanical Models for Metric Graphs

Mechanical Models of Metric Graphs

chapter 9|16 pages

CHAPTER 9

Categorical Data Analysis

chapter 10|12 pages

Method of Averages and Curve Fitting by Splines

Method of Averages and Curve Fitting by Splines Multivariate Means 10.1.1 One-Dimensional Means

chapter 11|14 pages

CHAPTER 11

Multivariate Generalisations of the Method of Least Squares