Introductory Statistics and Random Phenomena

Uncertainty, Complexity and Chaotic Behavior in Engineering and Science

  • Manfred Denker
  • Wojbor Woyczynski

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Descriptive Statistics-Compressing Data

    1. Front Matter
      Pages 1-1
    2. Manfred Denker, Wojbor Woyczynski
      Pages 3-53
    3. Manfred Denker, Wojbor Woyczynski
      Pages 55-117
    4. Manfred Denker, Wojbor Woyczynski
      Pages 119-199
  3. Modeling Uncertainty

    1. Front Matter
      Pages 201-201
    2. Manfred Denker, Wojbor Woyczynski
      Pages 203-242
    3. Manfred Denker, Wojbor Woyczynski
      Pages 243-292
  4. Model Specification-Design of Experiments

    1. Front Matter
      Pages 365-365
    2. Manfred Denker, Wojbor Woyczynski
      Pages 367-391
    3. Manfred Denker, Wojbor Woyczynski
      Pages 393-441
    4. Manfred Denker, Wojbor Woyczynski
      Pages 443-459
  5. Back Matter
    Pages 461-509

About this book


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 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™ software packages which optimize and facilitate the simulation environment.  Brief tutorials are included that explain how to use theMathematica® 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™ 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.


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, International Statistical Institute

I find [this book] to be 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


Introductory Statistics Statistical Data Analysis Algorithmic Complexity Chaotic Behavior Nonlinear Dynamic Systems

Authors and affiliations

  • Manfred Denker
    • 1
  • Wojbor Woyczynski
    • 2
  1. 1.Department of MathematicsPennsylvania State UniversityState CollegeUSA
  2. 2.Math, Applied Math, & Stat, Yost 229Case Western Reserve UniversityClevelandUSA

Bibliographic information

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