The generalized odd Burr III family of distributions: properties, applications and characterizations

Journal of Taibah University for Science

Muhammad Ahsan ul Haq¹  Sharqa Hashmi²  M. Elgarhy³ 

[1] College of Statistical & Actuarial Sciences, University of the Punjab;Lahore College of Women University (LCWU);Valley High Institute for Management Finance and Information Systems;

关键词: g-family;    odd burr iii;    maximum likelihood;    moment;    order statistic;    rényi entropy;   

DOI  :  10.1080/16583655.2019.1666785

来源: DOAJ

【 摘 要 】

A new class of continuous distributions with two extra shape parameters is introduced named the generalized odd Burr III (GOBIII) family of distributions. The expression of density can be written as a linear combination of exponentiated densities related to baseline model. The basic properties such as ordinary moments, quantile and generating functions, two entropy measures and order statistics are derived. Three special models of proposed family are presented. Characterizations related to truncated moments and hazard function for GOBIII-G distribution are derived. Method of maximum likelihood is used to estimate the model parameters. We study the behaviour of the estimators by means of simulations. The importance of the new family is illustrated using two real data sets. The real data applications suggest that this family can provide better fits than other competitive distributions. The significance of GOBIII-G family lies in its capability to fit symmetric as well as skewed type of data.

【 授权许可】

Unknown