Login New user?  
01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 19 > No. 2

 
   

A Novel Extension of the Inverse Rayleigh Distribution: Theory, Simulation, and Real-World Application

PP: 467-488
doi:10.18576/amis/190220
Author(s)
Alaa A. Khalaf, Mundher A. Khaleel, Taghreed M. Jawa, Neveen Sayed-Ahmed, Ahlam H. Tolba,
Abstract
Generalized distributions benefit applied statisticians, and there are several approaches to expanding common distributions. This article presents a new sub-model, the Odd Burr XII-inverse Rayleigh (OBXII-IR) distribution, as well as a new family of generalized distributions, the Odd Burr-G family. To generate the OBXII-G family, we combine the T-X family with the Burr XII distribution. Examine a few OBXII-IR distribution statistics. These statistics include moments, incomplete moments, quantile function, order statistics, harmonic mean, and Re ́nyi entropy. The methods used for parameter estimation include maximum likelihood, least squares, weighted least squares, Anderson Darling, and right-tailed Anderson Darling. This research evaluates the performance of these different estimators using a Monte Carlo simulation. The distribution’s applicability to two real data sets proves that the OBXII-IR distribution is really useful and practical.

  Home   About us   News   Journals   Conferences Contact us Copyright naturalspublishing.com. All Rights Reserved