The type II exponentiated half logistic-odd Burr X-G power series class of distributions with applications

Abstract

A new distribution, the type II exponentiated half logistic-odd Burr X-G power series (TII-EHL-OBX-GPS), is introduced in this study. This distribution combines the type II exponentiated half logistic-odd Burr X-G family of distributions with power series distributions. We discuss its mathematical characteristics, maximum likelihood estimates and simulation experiments, along with practical applications in the type II exponentiated half logistic-odd Burr X-log-logistic Poisson distribution.

Keywords

• Odd Burr-X distribution
• Goodness-of-fit statistics
• Power series distribution
• Simulation study