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Table 5 Parameter estimates for the BG model (BG truncated exponential marginals) fitted to the variables education & income by maximum likelihood (standard errors in parenthesis)

From: Bivariate beta-generated distributions with applications to well-being data

 Variables: education & income
Year Truncated exponential model
p ̂ 1 p ̂ 2 q ̂ â 1 â 2
1980 2.3477 6.0323 1.5187 1.7859 2.8785
  (0.2801) (0.9499) (0.2891) (0.5446) (0.6098)
1985 3.1220 6.4260 1.6681 1.8322 2.7940
  (0.3847) (0.9671) (0.3094) (0.5189) (0.5639)
1990 3.5887 6.2829 1.5834 1.9604 2.8090
  (0.4533) (0.9215) (0.2838) (0.5057) (0.5350)
1995 3.6986 5.9955 1.3892 1.9633 3.0090
  (0.4814) (0.8708) (0.2429) (0.5081) (0.5264)
2000 3.7836 5.7931 1.2656 1.8579 3.0539
  (0.5115) (0.8442) (0.2131) (0.5086) (0.5110)
2005 3.9060 5.3306 1.1572 1.7335 2.9354
  (0.5793) (0.8152) (0.1925) (0.5332) (0.5233)
2010 3.3507 5.8944 1.1977 0.9970 2.8693
  (0.5127) (0.9557) (0.1937) (0.5579) (0.5168)