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Error Analysis with Applications in Engineering

  • Book
  • © 2010

Overview

Authors:
  1. Zbigniew A. Kotulski

    1. Inst. Fundamental , PAN Warszawa, Warszawa, Poland

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    You can also search for this author in PubMed   Google Scholar

  2. Wojciech Szczepinski

    1. Inst. Fundamental , PAN Warszawa, Warszawa, Poland

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    You can also search for this author in PubMed   Google Scholar

  • 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
    Download chapter PDF

  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
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Keywords

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

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