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Semi-parametric Order-based Generalized Multivariate Regression
  • Exam (elaborations)

    Semi-parametric Order-based Generalized Multivariate Regression

  • 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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