Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and Science [Paperback]

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 Kolmogorovs 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.

This is an innovative book... Well-constructed computer exercises with a bundled easily usable software package Mathematica^? Uncertain Virtual Worlds^?... The bibliographical notes that accompany each chapter&are clearly written with a keen eye toward encouraging students to enrich their understanding by pursuing additional reading&A lucidly written text and many well-designed computer experiments that enable students to simulate the whole process of some dynamic systems.   Technometrics

Highly data-oriented, with an unusually large collection of real-life examples taken from industry and various scientific disciplines& The book departs from the standard fare, by [also] including detailed coverage of such contemporary topics as chaotic dynamical systems, the nature of randomness, computability and Kolmogorov complexity, encryption, ergodicity, entropy, and even fractals.   Short Book Reviews (Intl Statistical Institute)

The novelty of the book is the integration of ideas about statistics of random phenomena stemming from algorithmic computatilSp