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Generalized least squares
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Area of mathematics
Probability and statistics
Statistical model
Statistical modelling
Normal linear model
Weighted least squares
Created
2026-09-24
Updated
2026-09-24
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Generalized least squares
minimizes
(
Y
−
Xβ
)
T
Ω
−
1
(
Y
−
Xβ
)
for
a
known
covariance
shape
Ω
.
Table of contents
Whitening transformation
Generalized least squares
Whitening transformation
0
0
0
Generalized least squares
Whitening multiplies
a
model
by
a
square root
of its precision
matrix
so that the transformed errors have identity
covariance
.
Ancestors
(8)
Weighted least squares
Normal linear model
Statistical modelling
Statistical model
Probability and statistics
Area of mathematics
Mathematics
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Incoming links
(6)
Best linear unbiased prediction
Past exam of the mathematics course of the University of Cambridge
/
2016
/
iii
/
Paper 206
/
2
/
f
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2016
/
iii
/
Paper 206
/
6
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 206
/
4
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 206
/
6
/
e
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ib
/
Paper 3
/
18H
/
a
/
Solution
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