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Table 9 Confidence intervals (95%) for the BG models (with beta and GB1 marginals) fitted to the variables income & health by maximum likelihood

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

 Variables: education & health
Year Limit 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 Lower 2.8717 4.9317 2.4348 3.0281 2.4498 2.2202 0.2187 0.6688
  Upper 4.0881 7.0329 3.4634 11.4549 6.6900 3.3394 0.7741 1.7170
1985 Lower 3.2117 6.3844 2.7536 -2.2422 3.4669 2.2074 -0.0183 0.4486
  Upper 4.5673 9.0942 3.9136 42.1636 10.8125 3.3806 0.4019 1.3564
1990 Lower 3.1360 6.6164 2.6126 -1.9562 3.3433 1.9810 -0.0159 0.2140
  Upper 4.4606 9.4282 3.7134 40.5326 17.0061 3.0476 0.3773 1.0560
1995 Lower 2.8126 6.2095 2.3010 3.3971 2.6301 1.7632 0.0691 0.1176
  Upper 4.0038 8.8595 3.2724 21.4397 20.5273 2.7044 0.4223 0.9424
2000 Lower 0.8471 4.5394 0.5105 56.4722 17.2919 0.4192 0.0219 0.1796
  Upper 3.6175 8.3509 2.8123 21.2033 12.0475 2.4010 0.4179 1.2257
2005 Lower 2.2989 5.6232 1.6712 -18.0358 1.5462 1.4024 -0.1156 0.5471
  Upper 3.2793 8.0524 2.3788 57.9060 6.4866 2.1326 0.3802 2.2645
2010 Lower 2.0008 5.3680 1.3822 1.8638 1.4273 1.2752 0.2287 0.4833
  Upper 2.8584 7.7098 1.9686 6.9524 7.0423 1.9130 0.8489 2.3539