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  • Book
  • © 2010

Error Analysis with Applications in Engineering

  • Error analysis for two and three dimensional vector functions of random variables, application to robot manipulator positioning
  • Includes supplementary material: sn.pub/extras

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 169)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-IX
  2. Basic Characteristics of Error Distribution; Histograms

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 1-13
  3. Random Variables and Probability; Normal Distribution

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 15-47
  4. Probability Distributions and Their Characterizations

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 49-90
  5. Functions of Independent Random Variables

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 91-105
  6. Two-dimensional Distributions

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 107-147
  7. Two-dimensional Functions of Independent Random Variables

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 149-173
  8. Three-dimensional Distributions

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 175-187
  9. Three-dimensional Functions of Independent Random Variables

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 189-209
  10. Problems Described by Implicit Equations

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 211-230
  11. Useful Definitions and Facts of Probability Theory for Further Reading

    • Zbigniew Kotulski, Wojciech SzczepiÅ„ski
    Pages 231-246
  12. Back Matter

    Pages 247-270

About this book

Our intention in preparing this book was to present in as simple a manner as possible those branches of error analysis which ?nd direct applications in solving various problems in engineering practice. The main reason for writing this text was the lack of such an approach in existing books dealing with the error calculus. Most of books are devoted to mathematical statistics and to probability theory. The range of applications is usually limited to the problems of general statistics and to the analysis of errors in various measuring techniques. Much less attention is paid in these books to two-dimensional and three-dim- sional distributions, and almost no attention is given to problems connected with the two-dimensional and three-dimensional vectorial functions of independent random variables. The theory of such vectorial functions ?nds new applications connected, for example, with analysis of the positioning accuracy of various mechanisms, among them of robot manipulators and automatically controlled earth-moving and loading machines, such as excavators.

Authors and Affiliations

  • Inst. Fundamental , PAN Warszawa, Warszawa, Poland

    Zbigniew A. Kotulski, Wojciech Szczepinski

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access