@Article{cmes.2020.011521,
AUTHOR = {Sanaa Al-Marzouki, Farrukh Jamal, Christophe Chesneau, Mohammed Elgarhy},
TITLE = {Topp-Leone Odd Fréchet Generated Family of Distributions with Applications to COVID-19 Data Sets},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {125},
YEAR = {2020},
NUMBER = {1},
PAGES = {437--458},
URL = {http://www.techscience.com/CMES/v125n1/40224},
ISSN = {1526-1506},
ABSTRACT = {Recent studies have pointed out the potential of the odd Fréchet family
(or class) of continuous distributions in fitting data of all kinds. In this article, we
propose an extension of this family through the so-called “Topp-Leone strategy”,
aiming to improve its overall flexibility by adding a shape parameter. The main
objective is to offer original distributions with modifiable properties, from which
adaptive and pliant statistical models can be derived. For the new family, these
aspects are illustrated by the means of comprehensive mathematical and numerical results. In particular, we emphasize a special distribution with three parameters based on the exponential distribution. The related model is shown to be
skillful to the fitting of various lifetime data, more or less heterogeneous. Among
all the possible applications, we consider two data sets of current interest, linked
to the COVID-19 pandemic. They concern daily cases confirmed and recovered in
Pakistan from March 24 to April 28, 2020. As a result of our analyzes, the proposed model has the best fitting results in comparison to serious challengers,
including the former odd Fréchet model.},
DOI = {10.32604/cmes.2020.011521}
}