On the extended half–logistic model by H. Bakouch with "polynomial variable transfer". Application to approximate the specific "Data BG COVID–19".

Autor: Kyurkchiev, Nikolay, Iliev, Anton, Rahnev, Asen, Terzieva, Todorka, Slavova, Angela
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Zdroj: AIP Conference Proceedings; 2020, Vol. 2321 Issue 1, p1-11, 11p
Abstrakt: In [1] H. Bakouch consider a G–family of extended cumulative distribution function (cdf): F a (t) = a G (t) a + 1 − G (t) ; a > 0 , where G(t) is the baseline cdf. In particular case G(t) = 1 − e−kt, k > 0 we find the following Extended–Bakouch Half–Logistic cdf (EBHL-cdf): F a (t) = a (1 − e − k t ) a + e − k t . Similar to our previous studies [2]–[4], in this article we will define and analyze in detail the following new family: F a (t ; a 0 ... , a n) = a (1 − e − F (t) ) a + e − F (t) ; F (t) = ∑ i = 0 n a i t i ; a 0 = 0. We will call this family the "Extended–Bakouch Half–Logistic cdf with polynomial variable transfer" (EBHLPVT– cdf). Illustrating our results the following datasets are fitted [5] using CAS MATHEMATICA: "Data BG Total Cases COVID–19"; "Data BG Total Deaths COVID–19". [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index