Some Properties and Application of Half-Cauchy Chen Distribution

Abstract

In this paper, a three-parameter new distribution called some properties and applications of half-cauchy chen distribution is presented. Some mathematical properties of the distribution such as the shapes of the cumulative density, probability density, probability and hazard rate functions, survival function, quantile function, the kurtosis and skewness measures are established. To estimate the model parameters, we have employed three well-known estimation methods namely least-square estimation (LSE), maximum likelihood estimation (MLE), and Cramer-Von-Mises (CVM) methods. For the illustration purposes we have considered the two real data sets and goodness-of-fit statistics AIC, BIC, AICC and HQIC are calculated. It is found that the new distribution performs better as compared to some existing distribution.