Abstract

This article is dedicated to the study of the new class of distributions and one of its particular members. Based on the odd ratio of baseline distribution, we have developed the odd inverse Chen-G family of distributions. General properties of the suggested family of distributions are provided. Using Weibull distribution as a baseline distribution, we have introduced a member of the suggested family having reverse-j or increasing or inverted bathtub shaped hazard function. Some statistical properties of this suggested distribution are explored. The associated parameters of the new distribution are estimated through MLE method. To assess the estimation procedure, we have conducted a Monte Carlo simulation and found that even for small samples, biases and mean square errors decrease as the sample size increases. Two real datasets are considered for the application of the suggested distribution. Using some criteria for model selection and goodness of fit test statistics, we empirically proved that the proposed model performs better than some existing models under study.

Author: Pankaj Kumar, Laxmi Prasad Sapkota and Vijay Kumar

Received on: May, 2023

Accepted on: January, 2024