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Exam (elaborations)
Semi-parametric Order-based Generalized Multivariate Regression
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---22July 20242023/2024A+
- 1. Problem Setup 
In linear multivariate regression, we have the following model: 
y 
T 
i = x 
T 
i B + ǫ, i = 1, . . . , n, (1) 
where yi ∈ R 
q×1 
is the response vector (q > 1), xi ∈ R 
p×1 
is the predictor vector, B ∈ R 
p×q 
is the 
coefficient matrix, and ǫi ∈ R 
q×1 
represents the noise with i.i.d. elements that are independent of 
xi 
. In this paper, we consider the following extension of this problem: 
y 
T 
i = Ui(x 
T 
i B + ǫ 
T 
i 
), i = 1, . . . , n, (2) 
whe...
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