Introductory Statistics and Random Phenomena

Uncertainty, Complexity and Chaotic Behavior in Engineering and Science

Manfred Denker, Wojbor Woyczynski (Autoren)

Buch | Softcover

XXVI, 509 Seiten

2017
Springer International Publishing (Verlag)
9783319661513 (ISBN)

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This textbook 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 such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences.
The crucial computer experiments are conducted using the readily available computer program Mathematica® Uncertain Virtual Worlds(TM) software packages which optimize and facilitate the simulation environment. Brief tutorials are included that explain how to use the Mathematica® programs for effective simulation and computer experiments. Large and original real-life data sets are introduced and analyzed as a model for independent study.
This is an excellent classroom tool and self-study guide. The material is presented in a clear and accessible style providing numerous exercises and bibliographical notes suggesting further reading.
Topics and Features

Comprehensive and integrated treatment of uncertainty arising in engineering and scientific phenomena - algorithmic complexity, statistical independence, and nonlinear chaotic behavior
Extensive exercise sets, examples, and Mathematica® computer experiments that reinforce concepts and algorithmic methods
Thorough presentation of methods of data compression and representation
Algorithmic approach to model selection and design of experiments
Large data sets and 13 Mathematica®-based Uncertain Virtual Worlds(TM) programs and code

This text is an excellent resource for all applied statisticians, engineers, and scientists who need to use modern statistical analysis methods to investigate and model their data. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

Manfred Denker, Penn State University, USA Wojbor Woyczynski, Case Western Reserve University, USA

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.

Erscheinungsdatum	28.09.2017
Reihe/Serie	Modern Birkhäuser Classics
Zusatzinfo	XXVI, 509 p. 10 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	802 g
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Statistik
Schlagworte	Algorithmic Complexity • Chaotic Behavior • computational science and engineering • Introductory Statistics • Mathematics • mathematics and statistics • Maths for scientists • nonlinear dynamic systems • probability & statistics • Probability & statistics • Science: general issues • Statistical Data Analysis • Statistics for Engineering, Physics, Computer Scie
ISBN-13	9783319661513 / 9783319661513
Zustand	Neuware