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Table 1 Evaluation measures of the selected statistical-actuarial models, 2015–2021

From: Statistical actuarial estimation of the Capitation Payment Unit from copula functions and deep learning: historical comparability analysis for the Colombian health system, 2015–2021

CR-CPU actuarial model

2015

2016

2017

2018

2019

2020

2021

Frequency distribution

Negative Binomial

Poisson

Poisson

Negative Binomial

Negative Binomial

Poisson

Poisson

Severity distribution

Weibull

Normal

Normal

Log-normal

Log-normal

Log-normal

Log-normal

Copula type

t-student

Gumbel

Joe

Frank

Frank

Frank

Frank

MSE

2.26E + 10

6.83E + 10

1.82E + 11

2.55E + 09

1.95E + 09

1.36E + 11

2.01E + 10

MAPE

10.7003

11.6370

8.2159

2.9183

2.8590

9.0923

6.5798

RSCE

4.10E-04

4.34E-04

1.97E-04

2.20E-04

5.34E-04

1.96E-04

9.25E-04

xvCIC

2.1730

0.0000

3.94E-08

1.0037

2.5235

2.8837

5.6776

RGOFC

0.9236

0.8566

0.3372

0.6688

0.8357

0.8077

0.8487

Borda rule result

65

75

75

46

58

57

58