The Rayleigh Gompertz distribution: Theory and real applications

The generalization of distributions is an important topic in probability theory. Several distributions, whether symmetrical, semi-symmetrical or heavily skewed, are unsuitable for modelling modern data. In this paper, the Rayleigh Gompertz distribution as a new compound flexible distribution is introduced. Several important statistical properties of the new distribution have been examined and studied as well as its flexibility is proved through various real datasets with different information fitting criteria. The flexibility of this new distribution allows using it in various application areas.