Properties and estimation approaches of the odd JCA family with applications

Abstract

Summary In this article, we study a new generator of distributions called the odd JCA‐G family. We determine the main mathematical properties of the new family. Some special submodels of the odd JCA‐G family are presented. The special models of the JCA‐G family have tractable densities shapes which possess various kinds of asymmetric, reversed‐J, left‐skewed, right‐skewed, symmetrical shapes. Furthermore, special submodels exhibit flexible hazard rate shapes. Additionally, the parameters of the odd JCA Burr‐XII model are estimated using some classical estimation approaches. The performance and efficiency of these approaches are explored via numerical simulations. The applicability of the odd JCA‐G family is illustrated by fitting two real‐life datasets. The data analysis shows that the odd JCA Burr‐XII model outperforms some well‐known distributions for the selected data.

A unified exponential-H family for modeling real-life data: Properties and inference

“…Hence, several families or generators having one or more extra shape parameters have been introduced in the literature to generate more flexible models. For example, the exponentiated-G [1] , Marshall–Olkin-G [2] , beta-G [3] , transmuted-G [4] , Kumaraswamy-G [5] , Kumaraswamy odd log-logistic-G [6] , type-I half-logistic-G [7] , Weibull Marshall–Olkin-G [8] , Kumaraswamy alpha-power-G [9] , Marshall–Olkin Burr-III-G [10] , Marshall–Olkin Weibull-H [11] , and odd JCA-G [12] families, among others. The above mentioned families provide induction of one, two or three extra shape parameters.…”

A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate

“…Reference [11] defined the exponentiated odd exponential half logistic-G power series class through the compounding of an established class. Another notable contribution is the odd JCA-G family studied by reference [12], whose main mathematical properties were explored. Reference [13] developed the new Kumaraswamy-G family as an alternative to a class of distributions.…”