1. The Marshall-Olkin Odd Burr III-G Family: Theory, Estimation, and Engineering Applications
- Author
-
M. A. Nasir, Farrukh Jamal, Gauss M. Cordeiro, Noor Akma Ibrahim, Ahmed Z. Afify, and M. Elgarhy
- Subjects
Percentile ,Class (set theory) ,General Computer Science ,Bathtub ,engineering data ,General Engineering ,Field (mathematics) ,Failure rate ,Probability density function ,Least squares ,stochastic ordering ,Burr III distribution ,Applied mathematics ,Statistics::Methodology ,General Materials Science ,exponential distribution ,lcsh:Electrical engineering. Electronics. Nuclear engineering ,Electrical and Electronic Engineering ,maximum likelihood ,parameter estimation ,Random variable ,lcsh:TK1-9971 ,Mathematics - Abstract
We propose a new flexible class called the Marshall-Olkin odd Burr III family for generating continuous distributions and derive some of its statistical properties. We provide three special models which accommodate symmetrical, right-skewed and left-skewed shaped densities as well as bathtub, decreasing, increasing, reversed-J shaped and upside-down bathtub failure rate functions. The parameters are estimated by maximum likelihood, least squares and a percentile method. Some simulations investigate the accuracy of the three methods. We illustrate the utility of a special model through three applications to engineering field.
- Published
- 2021