Introductory Statistics and Random Phenomena Uncertainty, Complexity and Chaotic Behavior in Engineering and Science /

• Main Authors: Denker, Manfred (Author), Woyczynski, Wojbor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Modern Birkhäuser Classics,
• Subjects: Mathematics.; Computer mathematics.; Statistics.; Computational Science and Engineering.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.

Introductory Statistics and Random Phenomena integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems.  This was the first advanced text/reference to bring together su...

Table of Contents:

• 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.