Fundamentals of Statistics
contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics...
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Index
Editorial
Introduction
Basic Concepts
General Processing Steps
Univariate Data
Statistical Tests
Bivariate Data
Multivariate Data
Math Background
Set Theorie
Probability
Vectors
Matrices
Introduction
Fundamentals
Stochastic and Regular Matrix
Transposed Matrix
Matrix Addition and Subtraction
Zero Matrix
Identity 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