Linear and Nonlinear Models

Chapter 1 The First Problem of Algebraic Regression

Chapter 2 The First Problem of Probabilistic Regression: The Bias Problem

Chapter 3 The Second Problem of Algebraic Regression

Chapter 4 The Second Problem of Probabilistic Regression

Chapter 5 The Third Problem of Algebraic Regression

Chapter 6 The Third Problem of Probabilistic Regression

Chapter 7 Overdetermined System of Nonlinear Equations on Curved Manifolds

Chapter 8 The Fourth Problem of Probabilistic Regression

Chapter 9 The Fifth Problem of Algebraic Regression: The System of Conditional Equations: Homogeneous and Inhomogeneous Equations: $$\{\mathbf{By} = \mathbf{Bi}\ \mathbf{versus} -\mathbf{c} + \mathbf{By} = \mathbf{Bi}\}$$

Chapter 10 The Fifth Problem of Probabilistic Regression

Chapter 11 The Sixth Problem of Probabilistic Regression the random effect model – “errors-in-variable”

Chapter 12 The Nonlinear Problem of the 3d Datum Transformation and the Procrustes Algorithm

Chapter 13 The Sixth Problem of Generalized Algebraic Regression

Chapter 15 Algebraic Solutions of Systems of Equations