From Equivalent Linear Equations to Gauss-Markov Theorem
<p/> <p>Gauss-Markov theorem reduces linear unbiased estimation to the Least Squares Solution of inconsistent linear equations while the normal equations reduce the second one to the usual solution of consistent linear equations. It is rather surprising that the second algebraic result i...
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2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/259672 |
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doaj-2c6fa798a9a9450bb4f832e407e2f8b92020-11-25T00:33:29ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101259672From Equivalent Linear Equations to Gauss-Markov TheoremStępniak Czesław<p/> <p>Gauss-Markov theorem reduces linear unbiased estimation to the Least Squares Solution of inconsistent linear equations while the normal equations reduce the second one to the usual solution of consistent linear equations. It is rather surprising that the second algebraic result is usually derived in a differential way. To avoid this dissonance, we state and use an auxiliary result on equivalence of two systems of linear equations. This places us in a convenient position to attack on the main problems in the Gauss-Markov model in an easy way.</p>http://www.journalofinequalitiesandapplications.com/content/2010/259672 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Stępniak Czesław |
| spellingShingle |
Stępniak Czesław From Equivalent Linear Equations to Gauss-Markov Theorem Journal of Inequalities and Applications |
| author_facet |
Stępniak Czesław |
| author_sort |
Stępniak Czesław |
| title |
From Equivalent Linear Equations to Gauss-Markov Theorem |
| title_short |
From Equivalent Linear Equations to Gauss-Markov Theorem |
| title_full |
From Equivalent Linear Equations to Gauss-Markov Theorem |
| title_fullStr |
From Equivalent Linear Equations to Gauss-Markov Theorem |
| title_full_unstemmed |
From Equivalent Linear Equations to Gauss-Markov Theorem |
| title_sort |
from equivalent linear equations to gauss-markov theorem |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p/> <p>Gauss-Markov theorem reduces linear unbiased estimation to the Least Squares Solution of inconsistent linear equations while the normal equations reduce the second one to the usual solution of consistent linear equations. It is rather surprising that the second algebraic result is usually derived in a differential way. To avoid this dissonance, we state and use an auxiliary result on equivalence of two systems of linear equations. This places us in a convenient position to attack on the main problems in the Gauss-Markov model in an easy way.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/259672 |
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AT st281pniakczes322aw fromequivalentlinearequationstogaussmarkovtheorem |
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