Modeling daily confirmed COVID-19 new cases in Algeria using Lévy stable distribution

Abstract

The crisis due to covid-19 went in a few weeks from an illness to be treated individually, to a pandemic which undermined national health systems, then entire economies in a fall of dominoes which demonstrated once again interdependence linked to globalization. The class of -stable distributions is ubiquitous in many areas including signal processing, finance, biology, physics, and condition monitoring. In particular, it allows efficient noise modeling and incorporates distributional properties such as asymmetry and heavy-tails. In this paper, we analyze the fluctuation behaviors of the epidemiology data ("COVID 19" pandemic data) with Lévy stable distribution and examine the validity of the model.