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Table 3 Parameters estimates and standard deviation (in parenthesis) for the model in Eq.Ā (7)

From: Forecasting emergency department arrivals using INGARCH models

Ā 

\(\mathrm{\alpha }\)

\(\beta\)

\(\theta\)

\({\gamma }_{Winter}\)

\({\gamma }_{Monday}\)

\({\gamma }_{Weekend}\)

\({\gamma }_{COVID}\)

LogLik

AIC

BIC

Zhu [38]

0.27 ***

0.68 ***

235.14 ***

-0.00 ***

0.18 ***

-0.07 ***

-0.03 ***

-10,726

21,467

21,507

(0.01)

(0.01)

(0.01)

(0.01)

(0.01)

(0.01)

(0.01)

Xu et al. [37]

0.26 ***

0.67 ***

0.37 ***

0.37 **

0.17 ***

-0.07 ***

-0.03 ***

-10,723

21,461

21,500

(0.01)

(0.01)

(0.01)

(0.00)

(0.01)

(0.00)

(0.00)

Poisson

0.18 ***

0.77 ***

Ā 

-0.00 ***

0.17 ***

-0.07 ***

-0.02 ***

-11,537

23,086

23,120

(0.01)

(0.01)

Ā 

(0.00)

(0.00)

(0.00)

(0.00)

  1. ***, **, and * indicate that the parameter is significant at 1%, 5% and 10%, respectively. The parameters are estimated using the full sample. Parameter \(\omega\) in Eq.Ā (7) is obtained by weighting, by (1 \(-\mathrm{\alpha }-\upbeta\)), the mean of the number of arrivals on days not affected by the dummies