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Table 2 Parameter estimates for the BG models (with beta and GB1 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 BG model with beta marginals BG model with GB1 marginals
p ̂ 1 p ̂ 2 q ̂ p ̂ 1 p ̂ 2 q ̂ â 1 â 2
1980 2.2431 3.3973 2.8809 2.1813 16.6110 2.6533 0.9603 0.2195
  (0.2008) (0.3063) (0.2591) (0.5790) (13.5230) (0.2743) (0.2243) (0.1715)
1985 2.8775 3.7222 3.1934 4.3394 10.2173 2.7715 0.6321 0.3586
  (0.2572) (0.3338) (0.2858) (1.4677) (5.6252) (0.2881) (0.1955) (0.1857)
1990 3.1691 3.6855 3.0715 6.4501 7.6217 2.6157 0.4702 0.4541
  (0.2834) (0.3302) (0.2746) (2.7530) (3.5058) (0.2725) (0.1880) (0.1960)
1995 3.3196 3.3074 2.7070 6.3618 6.2069 2.3322 0.4907 0.4965
  (0.2978) (0.2967) (0.2421) (2.4599) (2.2291) (0.2418) (0.1818) (0.1698)
2000 3.4652 3.0623 2.3826 5.8748 5.8042 2.0680 0.5420 0.4885
  (0.3119) (0.2751) (0.2131) (2.2960) (2.0882) (0.2139) (0.2052) (0.1691)
2005 3.6366 2.8670 2.0777 7.2438 3.4311 1.8787 0.4773 0.7694
  (0.3285) (0.2580) (0.1858) (3.2031) (0.8872) (0.1918) (0.2070) (0.1937)
2010 3.7596 2.7789 1.8944 3.4581 4.0863 1.8134 1.0309 0.6702
  (0.3406) (0.2505) (0.1693) (1.0479) (1.1725) (0.1835) (0.3034) (0.1870)