Table 7.

The competitive models.

Distribution	Abbreviation	Author(s)
Geometric	Geo	–
Generalized geometric	GGeo	Gómez-Déniz [28]
Discrete Rayleigh	DR	Roy [60]
Discrete inverse Rayleigh	DIR	Hussain and Ahmad [33]
Discrete inverse Weibull	DIW	Jazi et al. [36]
One parameter discrete Lindley	DLi-I	Gómez-Déniz and Calderín-Ojeda [29]
Two parameters discrete Lindley	DLi-II	Hussain et al. [34]
Three parameters discrete Lindley	DLi-III	Eliwa et al. [19]
One parameter discrete flexible model	DFx-I	Eliwa and El-Morshedy [22]
Negative Binomial	NeBi	–
Poisson	Poi	Poisson [56]
Discrete Bilal	DBL	Eliwa et al. [20]
Discrete Pareto	DPa	Krishna and Pundir [41]
Discrete Burr	DB	Krishna and Pundir [41]
Discrete Burr-Hatke	DBH	El-Morshedy et al. [22].
Discrete log-logistic	DLogL	Para and Jan [53]
Discrete Lomax distribution	DLo	Para and Jan [54]