Half Cauchy Exponential Geometric Distribution: Model, Properties and Application

Abstract

In this article, a new distribution called Half Cauchy Exponential Geometric Distribution is introduced. We have derived some important mathematical properties like hazard function, probability density function, survival function, quantiles, the measures of skewness based on quartiles and coefficient of kurtosis based on octiles of the new distribution. To estimate the parameters of the new distribution, we have applied the three commonly used estimation methods namely maximum likelihood estimation (MLE), least-square (LSE) method and Cramer-Von-Mises (CVM) method. We have used R programming as well as analytical methods for data analysis. For the assessment of potentiality of the new distribution, we have considered a real dataset and the goodness-of-fit attained by proposed distribution is compared with some competing distributions.It is found that the proposed model fits the data very well and more flexible as compared to some other models.