subject to C₁1++Cpp min ! 1,...,p a11x1 + a12x2 + + a1pxpa1 a21x1 + a22x2 + + a2pxp ≤a2, ak1x1 +ak2x2 + ... + AkpXp ≤ Akı (a) Show that when both u≤v and -u ≤v, then |u| ≤v. (b) Show how the quantile regression fitting of a + Bx; with p = 1/2 - that is, fitting by the least absolute values can be written in the form given above.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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+ CpXp + min !
x1,...,Xp
C1x1+
..
subject to
+ alpXp <a1
+ a2pdp < a2,
a11x1 + a12X2+
A21X1 + a22x2+
ak1X1 + ak2x2+
(a) Show that when both u<v and -u < v, then |u|< v.
...+ akpxp < aki
(b) Show how the quantile regression fitting of a + Bx; with p = 1/2 – that is, fitting by the
least absolute values-
can be written in the form given above.
Transcribed Image Text:+ CpXp + min ! x1,...,Xp C1x1+ .. subject to + alpXp <a1 + a2pdp < a2, a11x1 + a12X2+ A21X1 + a22x2+ ak1X1 + ak2x2+ (a) Show that when both u<v and -u < v, then |u|< v. ...+ akpxp < aki (b) Show how the quantile regression fitting of a + Bx; with p = 1/2 – that is, fitting by the least absolute values- can be written in the form given above.
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