Open AccessThe Topp-Leone Odd Burr III-G Family of Distributions: Model, Properties and Applications
Author(s) -
Thatayaone Moakofi,
Broderick O. Oluyede,
Morongwa Gabanakgosi
Publication year - 2022
Publication title -
statistics, optimization and information computing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.297
H-Index - 12
eISSN - 2311-004X
pISSN - 2310-5070
DOI - 10.19139/soic-2310-5070-1135
Subject(s) - mathematics , quantile function , quantile , statistical physics , order statistic , k distribution , statistics , statistical parameter , probability density function , monte carlo method , maximum likelihood , moment generating function , physics
We propose and investigate a new generalized family of distributions called the Topp-Leone Odd Burr III-G (TL- OBIII-G) family of distributions. We present the sub-families of this new family of distributions. Properties of the new family of distributions includs sub-models, quantile function, moments, incomplete and probability weighted moments, distribution of the order statistics, and Renyi entropy are derived. The Maximum likelihood estimation technique is used to estimate the model parameters, and a Monte Carlo simulation study is employed to examine the performance of the model. Two real data sets are used to prove the importance of the TL-OBIII-G family of distributions.