on the distribution generated by waring-type probability ‎with ‎‎application ‎to ‎covid-19 ‎data

Farbod ‎(2024) [9] ‎introduced a‎ ‎‎‎‎‎‎‎2-parameter regularly varying discrete distribution generated by waring-type probability (2-rdwp)‎‎‎. ‎‎ ‎‎in this paper‎, ‎asymptotic properties of maximum likelihood estimators of the unknown parameters are established for the 2-rdwp model‎. ‎some new plots including cumulative distribution function‎, ‎survival function and hazard rate function are illustrated for the 2-rdwp model‎. ‎two‎ real data sets of covid-19 ‎are ‎applied to show the ‎model's‎ ‎applicability ‎‎ compared to ‎other‎ rival distributions‎. ‎‎‎‎‎‎based on some statistical criteria we see that the 2-rdwp‎, ‎for these real data sets‎, ‎has satisfactory results with respect to rival models‎. ‎using ‎an‎ optimization ‎algorithm, ‎m‎aximum ‎likelihood ‎estimations of the unknown parameters are proposed.