Deutsch: Zwei-GleichungsmodellEnglisch translation: two-equation model  KudoZ The KudoZ network provides a framework for translators ... More  |
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Übersetzungen Deutsch > Englisch [PRO]
Bus/Financial - Mathematik und Statistik | | Deutsch Begriff oder Satz: Zwei-Gleichungsmodell | | ...eine simultane emperische Schätzung der drei Zusammenhänge ist nicht möglich, deshalb beschränken wir uns auf die Schätzung eines Zwei-Gleichungs Modells |
| | | Ausgewählte Antwort von:
 Steffen Walter
Deutschland
| Hinweis von Fragesteller an den AntwortendenThanks Steffen,
kind regards
Caitriona
4 KudoZ-Punkte wurden für diese Antwort vergeben |
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11 Min. Antwortsicherheit:   |
2 Stunden Antwortsicherheit: Zustimmung (Netto): +1 |
| a simultaneous stochastic model in two equations
Erklärung:
An simple example of a two equation empirical model in three variables would be the following:
1) y = a1 + b1•X + e1
2) X = a2 + b2•Z + e2
Although one may substitute for X in the first equation there would be an important loss of information, hence the necessity of a two equation model. Watch
Y = a1 + b1(a2 + b2•Z +e2) + e1
Y = (a1 + b1•a2) + b1b2•Z + (b1•e2 + e1)
which reduces to
3) Y = c1 + c2•Z + e3
where c1 = a1 + b1•a2
c2 = b1•b2
e3 = b1•e2 +e1
Although c1, c2, and c3 can be estimated, and you can ignore the equation e3= b1•e2 + e1, because the expected value of each term is equal to zero, you must still solve for a1, a2, b1, and b2.
Substituing for b1 in the equation c1 = a1 + b1•a2 with c2/b2 leaves you with c1 = a1 + (c2/b2)•a2, which is a single equation in three unknowns! It is impossible to solve. Thus, I agree with the author.
Nevertheless, I am disturbed by his use/her of the word "simultan" in this context, as the two-equation empirical model that I described at the outset is called a simultaneous stochastic model in two equations.
I suggest you consult with the author.
| R. A. Stegemann
Vereinigte Staaten
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Muttersprache: Englisch
PRO-Punkte in Kategorie: 4
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