Fundamentals of Statistics
contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics...
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Index
Copyright
Introduction
Basic Concepts
General Processing Steps
Univariate Data
Statistical Tests
Bivariate Data
Multivariate Data
Math Background
Set Theorie
Probability
Vectors
Matrices
Matrix Algebra - Introduction
Fundamentals
Stochastic and Regular Matrix
Matrix Addition and Subtraction
Identity Matrix
Transposed Matrix
Multiplication
Inverse Matrix
Fundamental Theorems for Matrices
Orthogonality
Linear Dependence
Rank of a Matrix
Determinant
Linear Equations
Linear Equations
Equivalence Operations
Gauss-Jordan Algorithm
The NIPALS Algorithm
Eigenvectors and Eigenvalues - Definition
Eigenvectors and Eigenvalues - Advanced Discussion
Singular Value Decomposition
Varia
Exercises
Appendix
Last Update: 2010-12-19