“…These are usually handled by the Poisson mixtures [24] or some established weighted Poisson models [12] , [39] , [41] , [42] , [40] , [43] , [44] , [45] , [46] . However, the estimation procedures in the Poisson mixed models are usually computationally intensive [24] , [15] , [31] . In the same vein, it is worth mentioning that some advanced generalized linear models have been recently used to model the COVID-19 series but these ignore the serial correlation among the observations [1] , [6] , [49] , [25] , [2] , [3] .…”