Some properties and applications of half-Cauchy exponential extension distribution

Abstract

In this article, we have proposed a new distribution having three parameters using half Cauchy family of distribution called Half-Cauchy Exponential extension Distribution. The statistical properties as well as different characteristics like the hazard rate function (HRF), the probability density function (PDF), the cumulative distribution function (CDF), quantile function, skewness, and kurtosis of the proposed distribution are discussed. The parameters of the proposed distribution are estimated by using the least-square estimation (LSE), Cramer-Von-Mises (CVM) and maximum likelihood estimators (MLE) methods. All the computations are performed in R programming software. To assess the application of the proposed distribution, a real lifetime data set is analyzed and performed the goodness-of-fit. It is found that the Half -Cauchy exponential extension distribution performed better as compared to some existing distributions.