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cover of the book Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and Science

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

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27.01.2024
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"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 (Int’l Statistical Institute)

"The novelty of the book is the integration of ideas about statistics of random phenomena stemming from algorithmic computational complexity, classical probability theory and chaotic behavior in nonlinear systems, and the broad use of Mathematica in the exposition. Moreover, the examples of statistical problems used arise in real-life industrial and scientific lab situations and have been collected from the engineering and scientific literature, or through direct interaction with practicing engineers and scientists. The authors' goal is to give engineering and science students a forward-looking alternative to the usual introductory statistics courses...In summary, I find Introductory statistics and random phenomena an excellent textbook, and I strongly recommend it as an introductory technical statistics course to engineering and science students who have had a basic programming course in computer science. I expect it to become a classic." —Mathematical Reviews








Content:
Front Matter....Pages N3-xxiv
Front Matter....Pages 1-1
Why One Needs to Analyze Data....Pages 3-53
Data Representation and Compression....Pages 55-117
Analytic Representation of Random Experimental Data....Pages 119-199
Front Matter....Pages 201-201
Algorithmic Complexity and Random Strings....Pages 203-242
Statistical Independence and Kolmogorov’s Probability Theory....Pages 243-292
Chaos in Dynamical Systems: How Uncertainty Arises in Scientific and Engineering Phenomena....Pages 293-364
Front Matter....Pages 365-365
General Principles of Statistical Analysis....Pages 367-391
Statistical Inference for Normal Populations....Pages 393-441
Analysis of Variance....Pages 443-459
Back Matter....Pages 461-509



Content:
Front Matter....Pages N3-xxiv
Front Matter....Pages 1-1
Why One Needs to Analyze Data....Pages 3-53
Data Representation and Compression....Pages 55-117
Analytic Representation of Random Experimental Data....Pages 119-199
Front Matter....Pages 201-201
Algorithmic Complexity and Random Strings....Pages 203-242
Statistical Independence and Kolmogorov’s Probability Theory....Pages 243-292
Chaos in Dynamical Systems: How Uncertainty Arises in Scientific and Engineering Phenomena....Pages 293-364
Front Matter....Pages 365-365
General Principles of Statistical Analysis....Pages 367-391
Statistical Inference for Normal Populations....Pages 393-441
Analysis of Variance....Pages 443-459
Back Matter....Pages 461-509
....
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