Table of Contents:
  • I Descriptive Statistics-Compressing Data
  • 1 Why One Needs to Analyze Data
  • 2 Data Representation and Compression
  • 3 Analytic Representation of Random Experimental Data
  • II Modeling Uncertainty
  • 4 Algorithmic Complexity and Random Strings
  • 5 Statistical Independence and Kolmogorov’s Probability Theory
  • 6 Chaos in Dynamical Systems: How Uncertainty Arises in Scientific and Engineering Phenomena
  • III Model Specification-Design of Experiments
  • 7 General Principles of Statistical Analysis
  • 8 Statistical Inference for Normal Populations
  • 9 Analysis of Variance
  • A Uncertainty Principle in Signal Processing and Quantum Mechanics
  • B Fuzzy Systems and Logic
  • C A Critique of Pure Reason
  • D The Remarkable Bernoulli Family
  • F Tables