توزيع گسسته متوازن وايبل و مدل گسسته مقدار خودبازگشتي متناظر آن: COVID-ويژگي ها، برآورد و آناليز داده هاي شمارشي فوت ناشي از 19

Autor: سيده محبوبه حسيني بالادزايي, عين الله ديري, عزت الله بالوئي جامخانه
Zdroj: Journal of Advanced Mathematical Modeling (JAMM); Nov2022, Vol. 12 Issue 3, p383-401, 19p
Abstrakt: In this paper, we introduce a new discrete Weibull distribution based on the balanced discretization method, which preserves the partial moments between the two discrete and continuous versions of the distributions. Some statistical features of the new distribution and different kinds of dispersion of the proposed distribution are presented based on various selections of parameters. In addition to introducing the new version of balanced discrete Weibull, we provide the integer-valued autoregressive model with the innovation of the proposed discrete distribution and evaluate different methods for estimating the model parameters. Using the counts of death of the COVID-19 data in Cuba, Malawi and Uzbekistan, we appraise the performance of the new process in fitting real data to some classical integer-valued autoregressive models. Finally, the forecasting of the process is checked based on real data using both classical and sieve bootstrap approaches. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index