Modeling lifetime distribution with arctan exponentiated family

In this paper, we introduce a new trigonometric family of distributions called the arctan exponentiated-G family of distributions. We investigate the main mathematical and reliability properties of the this family,including quantile function, skewness, kurtosis and hazard rate function. Then, we focus our attentionon a special member of this family called the arctan exponentiated Weibull distribution. Estimation ofthe model parameters is explored by using the maximum likelihood method. Finally, an application toCOVID-۱۹ real data is presented to illustrate the potentiality and usefulness of the proposed family.

کلیدواژه ها:

arctan-G distribution ، exponentiated-G family ، hazard rate function ، lifetime distribution ، maximum likelihood estimation