University of Guilan Journal of Mathematical Modeling 2345-394X 7 3 2019 09 01 On the Sin-G class of distributions: theory, model and application 357 379 3575 10.22124/jmm.2019.13502.1278 EN Luciano Souza PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil Wilson Junior PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil Cicero De Brito Instituto Federal da Pernambuco, Pernambuco/PE, Brazil Christophe Chesneau Universit\'e de Caen, LMNO, Campus II, Science 3, 14032, Caen, France Tiago Ferreira PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil Lucas Soares PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil Journal Article 2019 06 08 This paper is devoted to the study of the Sin-G class of distributions and one of its special member. We first explore the mathematical properties of the Sin-G class, giving the cumulative and probability density functions and their expansions, quantile function, moments, moment generating function, reliability parameter, R\'enyi entropy and order statistics. Then, we focus our attention on the special member defined with the Inverse Weibull distribution as baseline,  denoted by SinIW. The mathematical and practical aspects of the SinIW distribution are investigated.  In order to illustrate the usefulness of the SinIW model, an application to real life data set is carried out. https://jmm.guilan.ac.ir/article_3575_9d005c46e6afafc87d092ea5fce885cc.pdf