Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engine

Preface.- Introduction.- Notation and Abbreviations.- Part I: Descriptive Statistics - Compressing Data.- Why One Needs to Analyze Data.- Data Representation and Compression.- Analytics Representation of Random Experimental Data.- Part II: Modeling Uncertainty.- Algorithmic Complexity and Random Strings.- Statistical Independence and Kolmogorov's Probability Theory.- Chaos in Dynamical Systems: How Uncertainty Arises in Scientific and Engineering Phenomena.- Part III: Model Specification Design of Experiments.- General Principles of Statistical Analysis.- Statistical Inference for Normal Populations.- Analysis of Variance.- Appendix A: Uncertainty Principle in Signal Processing and Quantum Mechanics.- Appendix B: Fuzzy Systems and Logic.- Appendix C: A Critique of Pure Reason.- Appendix D: The Remarkable Bernoulli Family.- Uncertain Virtual Worlds Mathematica Packages.- Appendix F: Tables.- Index.