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Table 1 Parameters for the point generation under three models

From: Optimal clustering with missing values

Model

Mean vectors

Covariance matrices

Distributions’ hyperparameters

Fixed means and covariances

μ1=0·1d, μ2=0.445·1d

Σ1=Σ2=0.23·Id

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Gaussian means and fixed covariances

\(\mu _{1} \sim \mathrm {N}\left (m_{1},\frac {1}{\nu _{1}}\Sigma _{1}\right)\), \(\mu _{2} \sim \mathrm {N}\left (m_{2},\frac {1}{\nu _{2}}\Sigma _{2}\right)\)

Σ1=Σ2=0.28·Id

m1=0·1d, m2=0.45·1d,

   

ν1=30, ν2=5

Gaussian means and inverse-Wishart covariances

\(\mu _{1} \sim \mathrm {N}\left (m_{1},\frac {1}{\nu _{1}}\Sigma _{1}\right)\), \(\mu _{2} \sim \mathrm {N}\left (m_{2},\frac {1}{\nu _{2}}\Sigma _{2}\right)\)

Σ1∼IW(κ1,Ψ1),Σ2∼IW(κ2,Ψ2)

m1=0·1d, m2=0.45·1d,

   

ν1=30, ν2=5,

   

Ψ1=Ψ2=20.7·Id,

   

κ1=κ2=75

  1. N, IW, 1d, and Id denote Gaussian, inverse-Wishart, column vector of all ones with length d, and d×d idendity matrix, respectively