Skip to main content

Advertisement

Table 3 Parameter estimates for the BG models (with beta and GB1 marginals) fitted to the variables income & health by maximum likelihood (standard errors in parenthesis)

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

Variables: income & health
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 3.4799 5.9823 2.9491 7.2415 4.5699 2.7798 0.4964 1.1929
  (0.3103) (0.5360) (0.2624) (2.1497) (1.0817) (0.2855) (0.1417) (0.2674)
1985 3.8895 7.7393 3.3336 19.9607 7.1397 2.7940 0.1918 0.9025
  (0.3458) (0.6913) (0.2959) (11.3280) (1.8739) (0.2993) (0.1072) (0.2316)
1990 3.7983 8.0223 3.1630 19.2882 10.1747 2.5143 0.18067 0.63504
  (0.3379) (0.7173) (0.2808) (10.8390) (3.4854) (0.2721) (0.1003) (0.2148)
1995 3.4082 7.5345 2.7867 12.4184 11.5787 2.2338 0.2457 0.5300
  (0.3039) (0.6760) (0.2478) (4.6027) (4.5656) (0.2401) (0.0901) (0.2104)
2000 3.0781 7.0973 2.3944 11.9092 7.5709 1.9876 0.2346 0.7667
  (0.2752) (0.6396) (0.2132) (4.7419) (2.2840) (0.2109) (0.0935) (0.2342)
2005 2.7891 6.8378 2.0250 19.9351 4.0164 1.7675 0.1323 1.4058
  (0.2501) (0.6197) (0.1805) (19.3729) (1.2603) (0.1863) (0.1265) (0.4381)
2010 2.4296 6.5389 1.6754 4.4081 4.2348 1.5941 0.5388 1.4186
  (0.2188) (0.5974) (0.1496) (1.2981) (1.4324) (0.1627) (0.1582) (0.4772)