In this book, the author finds that many of the important concepts of mathematical statistics can be associated with physical models; and that the optimality criteria of statistical estimation procedures can often be interpreted in terms of the concept of potential energy.
In this book, the author finds that many of the important concepts of mathematical statistics can be associated with physical models; and that the optimality criteria of statistical estimation procedures can often be interpreted in terms of the concept of potential energy.
1. Introduction 2. Abstract Geometrical and Mechanical Representations 3. Mechanical Models for Multidimensional Medians 4. Method of Least Squared Deviations 5. Method of Least Absolute Deviation 6. Minimax Absolute Deviation Method 7. Method of Least Median of Squared Deviations 8. Mechanical Models for Metric Graphs 9. Categorical Data Analysis 10. Method of Averages and Curve Fitting by Splines 11. Multivariate Generalisations of the Method of Least Squares
1. Introduction 2. Abstract Geometrical and Mechanical Representations 3. Mechanical Models for Multidimensional Medians 4. Method of Least Squared Deviations 5. Method of Least Absolute Deviation 6. Minimax Absolute Deviation Method 7. Method of Least Median of Squared Deviations 8. Mechanical Models for Metric Graphs 9. Categorical Data Analysis 10. Method of Averages and Curve Fitting by Splines 11. Multivariate Generalisations of the Method of Least Squares
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