This site uses cookies. Some of these cookies are essential to the operation of the site, while others help to improve your experience by providing insights into how the site is being used. For more information, please see the ProZ.com privacy policy.
Cookie settings
  1. KudoZ™ Top
  2. Deutsch > Englisch
  3. Mathematik und Statistik

Fehlerquadratsummen-Minimierung

Englisch translation: minimization of the sum of the squared errors

Glossareintrag (aus Frage unten abgeleitet)
Deutsch Begriff oder Satz:Fehlerquadratsummen-Minimierung
Englisch Übersetzung:minimization of the sum of the squared errors
Eingetragen von: Kim Metzger

18:24 Mar 25, 2009
Übersetzungen Deutsch > Englisch [PRO]
Science - Mathematik und Statistik / multiple linear regression
Deutsch Begriff oder Satz: Fehlerquadratsummen-Minimierung
Here's the context sentence:
MLR (Multiple Linear Regression) ist eine statische Standardmethode, die basierend auf einer Fehlerquadratsummen-Minimierung eine multiple lineare Regression durchführt.
Holly Hart
Vereinigte Staaten
Local time: 02:30
minimization of sum of squared error
Erklärung:
This isn't my field, but I think this might be in the right direction.

mittleres Fehlerquadrat – mean error square value

http://books.google.com/books?id=NbwrzoLn6cUC&pg=PA509&lpg=P...

Thus, for the impossible ideal of perfect uniformity, where all probe signals are equal and no random error exists, the sum of square value of Error would be zero.

http://www.patentstorm.us/patents/7248973/description.html

sum of squared error

The mean minimizes the sum of squared error. The figure on the left, represents the data in the frequency distribution on the right, and can be used to illustrate this property of the mean.
http://espse.educ.psu.edu/edpsych/faculty/rhale/Statistics/C...

Minimization of sum of squared error in IFT scheme. Fig. 4. Minimization of cost function (sum of squared error) in simulation over 10 cycles of tuning ...
ieeexplore.ieee.org/iel5/4498401/4516026/04516072.pdf?arnumber=4516072
by H Stearns



--------------------------------------------------
Note added at 1 hr (2009-03-25 19:29:23 GMT)
--------------------------------------------------

Sum of squares error gets 32,000 hits vs. 4,600 for sum of squared error

Introduction to Engineering Statistics and Six Sigma: Statistical ... - Google Books Resultby Theodore T. Allen - 2006 - Technology & Engineering - 529 pages
These runs are set aside and not used for estimating the weights in the minimization of the sum of squares error. In the context of welding parameter ...
books.google.com/books?isbn=1852339551...

--------------------------------------------------
Note added at 1 hr (2009-03-25 19:42:11 GMT)
--------------------------------------------------

Abstract The combinatorial problem of clusterwise discrete linear approximation is defined as finding a given number of clusters of observations such that the overall sum of error sum of squares within those clusters becomes a minimum. The FORTRAN implementation of a heuristic solution method and a numerical example are given.

Zusammenfassung Die kombinatorische Aufgabe der klassenweisen diskreten linearen Approximation wird dadurch definiert, daß die Summe über die Fehlerquadratsummen innerhalb der Klassen minimiert wird. Die FORTRAN-Implementation eines heuristischen Lösungsverfahrens und ein numerisches Beispiel werden angegeben.

http://www.springerlink.com/content/62mm101364012334/

ISI glossary of statistical terms – English-German

error sum of squares - Summe der Fehlerquadrate

http://ec.europa.eu/comm/eurostat/research/index.htm?http://...
Ausgewählte Antwort von:

Kim Metzger
Mexiko
Local time: 01:30
Grading comment
Thanks - especially for all the good references - it was important to include 'sum' here. Thanks to all contributors!
4 KudoZ-Punkte wurden für diese Antwort vergeben



Zusammenfassung aller eingereichten Antworten
4 +1least squares minimisation / least squares method
Michael Watson
4mean-square error minimization
Irina Ion
3 +1minimization of sum of squared error
Kim Metzger
3maximum mean squared error minimization
Lirka


  

Antworten


14 Min.   Antwortsicherheit: Answerer confidence 3/5Answerer confidence 3/5
maximum mean squared error minimization


Erklärung:
I think that's it

Lirka
Österreich
Local time: 09:30
Muttersprache: Englisch
PRO-Punkte in Kategorie: 4
Login to enter a peer comment (or grade)

27 Min.   Antwortsicherheit: Answerer confidence 4/5Answerer confidence 4/5
mean-square error minimization


Erklärung:
The
regression analysis is focused on estimating the regression coefficients, making
statistical inference about these estimations, and constructing forecasts for the
new values of Y, given the new value of X. The estimation is done using the
mean-square error minimization;
http://wolfweb.unr.edu/homepage/zal/STAT452/Lab5.pdf

Irina Ion
Norwegen
Local time: 09:30
Arbeitsgebiet
Muttersprache: Rumänisch

Kommentare zu dieser Antwort (und Antworten vom Beantworter der Frage)
Zustimmung  Alvaro Ferreira
1 Stunde
Widerspruch  Oliver Walter: Linear regression minimizes the mean square error but the text mentions minimising the sum: the sum is not the mean. Depending on the rest of the text this difference might be significant.
4 Stunden
Login to enter a peer comment (or grade)

50 Min.   Antwortsicherheit: Answerer confidence 3/5Answerer confidence 3/5 Zustimmung (Netto): +1
minimization of sum of squared error


Erklärung:
This isn't my field, but I think this might be in the right direction.

mittleres Fehlerquadrat – mean error square value

http://books.google.com/books?id=NbwrzoLn6cUC&pg=PA509&lpg=P...

Thus, for the impossible ideal of perfect uniformity, where all probe signals are equal and no random error exists, the sum of square value of Error would be zero.

http://www.patentstorm.us/patents/7248973/description.html

sum of squared error

The mean minimizes the sum of squared error. The figure on the left, represents the data in the frequency distribution on the right, and can be used to illustrate this property of the mean.
http://espse.educ.psu.edu/edpsych/faculty/rhale/Statistics/C...

Minimization of sum of squared error in IFT scheme. Fig. 4. Minimization of cost function (sum of squared error) in simulation over 10 cycles of tuning ...
ieeexplore.ieee.org/iel5/4498401/4516026/04516072.pdf?arnumber=4516072
by H Stearns



--------------------------------------------------
Note added at 1 hr (2009-03-25 19:29:23 GMT)
--------------------------------------------------

Sum of squares error gets 32,000 hits vs. 4,600 for sum of squared error

Introduction to Engineering Statistics and Six Sigma: Statistical ... - Google Books Resultby Theodore T. Allen - 2006 - Technology & Engineering - 529 pages
These runs are set aside and not used for estimating the weights in the minimization of the sum of squares error. In the context of welding parameter ...
books.google.com/books?isbn=1852339551...

--------------------------------------------------
Note added at 1 hr (2009-03-25 19:42:11 GMT)
--------------------------------------------------

Abstract The combinatorial problem of clusterwise discrete linear approximation is defined as finding a given number of clusters of observations such that the overall sum of error sum of squares within those clusters becomes a minimum. The FORTRAN implementation of a heuristic solution method and a numerical example are given.

Zusammenfassung Die kombinatorische Aufgabe der klassenweisen diskreten linearen Approximation wird dadurch definiert, daß die Summe über die Fehlerquadratsummen innerhalb der Klassen minimiert wird. Die FORTRAN-Implementation eines heuristischen Lösungsverfahrens und ein numerisches Beispiel werden angegeben.

http://www.springerlink.com/content/62mm101364012334/

ISI glossary of statistical terms – English-German

error sum of squares - Summe der Fehlerquadrate

http://ec.europa.eu/comm/eurostat/research/index.htm?http://...


Kim Metzger
Mexiko
Local time: 01:30
Muttersprache: Englisch
PRO-Punkte in Kategorie: 40
Grading comment
Thanks - especially for all the good references - it was important to include 'sum' here. Thanks to all contributors!

Kommentare zu dieser Antwort (und Antworten vom Beantworter der Frage)
Zustimmung  Oliver Walter: Yes: as the text says, it's a minimization of the sum of the squares of the errors. "minimization of the sum of the squared errors" would be my translation.
3 Stunden
  -> From a man who knows what he's talking about.
Login to enter a peer comment (or grade)

4 Stunden   Antwortsicherheit: Answerer confidence 4/5Answerer confidence 4/5 Zustimmung (Netto): +1
least squares minimisation / least squares method


Erklärung:
I think least squares minimisation is, if memory serves me correctly, a shorthand way of saying mean-square error minimization which is generally used in linear regression (i.e. selecting the best curve to fit a set of experimental data).
Ycan also refer to least squares regression methods, dropping the minimisation as well.
Ref. "Statistics for technology" Christopher Chatfield, ISBN-10: 0412253402


    Quelle: http://en.wikipedia.org/wiki/Least_squares
    Quelle: http://en.wikipedia.org/wiki/Linear_regression
Michael Watson
Vereinigtes Königreich
Local time: 08:30
Arbeitsgebiet
Muttersprache: Englisch

Kommentare zu dieser Antwort (und Antworten vom Beantworter der Frage)
Zustimmung  Kim Bakkers: This is how I've heard this called too
15 Stunden
Login to enter a peer comment (or grade)



Login or register (free and only takes a few minutes) to participate in this question.

You will also have access to many other tools and opportunities designed for those who have language-related jobs (or are passionate about them). Participation is free and the site has a strict confidentiality policy.

Return to KudoZ list

KudoZ™ translation help

Das KudoZ-Netzwerk bietet Nutzern eine Plattform zur gegenseitigen Hilfe bei Terminologie- und Verständnisfragen.

See also:
ProZ.com term search
Search millions of term translations
Close search
Term search
  • All of ProZ.com
  • Begriffsuche
  • Jobs
  • Foren
  • Multiple search