Half-cauchy inverse Gompertz distribution: Theory and applications

Abstract

In this paper, we have introduced a new distribution named half Cauchy inverse Gompertz distribution using the family of half-Cauchy distribution as base line distribution. Some crucial statistical properties of the new distribution are deliberated and analyzed. To evaluate the model parameters of the new model, we have applied the three commonly used estimation methods namely LSE, CVM and MLE. For the evaluation of flexibility and adaptability of the new model we have consider a real dataset and compared the goodness-of-fit attained by proposed distribution with some competing distribution. It is found that the suggested model is good fitted a real data set and more flexible as compared to a few other models.