Item Details

Distribution of Error in Least-Squares Solution of an Overdetermined System of Linear Simultaneous Equations

by C. David Miller
Format
Book; Government Document; Online; EBook
Published
Washington, D.C. : National Aeronautics and Space Administration ; [Springfield, Va. : For sale by the National Technical Information Service], 1972.
Language
English
Series
NASA Technical Note
Summary
Probability density functions were derived for errors in the evaluation of unknowns by the least squares method in system of nonhomogeneous linear equations. Coefficients of the unknowns were assumed correct and computational precision were also assumed. A vector space was used, with number of dimensions equal to the number of equations. An error vector was defined and assumed to have uniform distribution of orientation throughout the vector space. The density functions are shown to be insensitive to the biasing effects of the source of the system of equations.
Description
46 p. : ill. ; 27 cm.
Mode of access: Internet.
Notes
  • Prepared at Aerospace Safety Research and Data Institute.
  • Cover title.
  • Bibliography: p. 46.
Series Statement
NASA technical note ; NASA TN D-6744
Logo for No Copyright - United StatesNo Copyright - United States
Technical Details

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    a| Distribution of error in least-squares solution of an overdetermined system of linear simultaneous equations c| by C. David Miller.
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    a| Washington, D.C. : b| National Aeronautics and Space Administration ; a| [Springfield, Va. : b| For sale by the National Technical Information Service], c| 1972.
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    a| 46 p. : b| ill. ; c| 27 cm.
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    a| NASA technical note ; v| NASA TN D-6744
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    a| Prepared at Aerospace Safety Research and Data Institute.
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    a| Cover title.
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    a| Bibliography: p. 46.
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    a| Probability density functions were derived for errors in the evaluation of unknowns by the least squares method in system of nonhomogeneous linear equations. Coefficients of the unknowns were assumed correct and computational precision were also assumed. A vector space was used, with number of dimensions equal to the number of equations. An error vector was defined and assumed to have uniform distribution of orientation throughout the vector space. The density functions are shown to be insensitive to the biasing effects of the source of the system of equations.
    538
      
      
    a| Mode of access: Internet.
    650
      
    0
    a| Probabilities.
    650
      
    0
    a| Least squares.
    650
      
    0
    a| Equations, Simultaneous.
    650
      
    0
    a| Error analysis (Mathematics)
    710
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    a| Aerospace Safety Research and Data Institute.
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    a| United States. b| National Aeronautics and Space Administration.
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    b| UIU c| UIUC d| 20141113 s| google u| uiug.30112106884338 y| 1972 r| pd q| bib

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