Open AccessA New Lindley-Burr XII Distribution: Model, Properties and Applications
Author(s) -
Boikanyo Makubate,
Broderick O. Oluyede,
Morongwa Gabanakgosi
Publication year - 2021
Publication title -
international journal of statistics and probability
Language(s) - English
Resource type - Journals
eISSN - 1927-7040
pISSN - 1927-7032
DOI - 10.5539/ijsp.v10n4p33
Subject(s) - mathematics , estimator , maximum likelihood , distribution (mathematics) , statistics , principle of maximum entropy , order statistic , mean squared error , lomax distribution , mathematical analysis
A new distribution called the Lindley-Burr XII (LBXII) distribution is proposed and studied. Some structural properties of the new distribution including moments, conditional moments, distribution of the order statistics and R´enyi entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. A simulation study to examine the bias and mean square error of the maximum likelihood estimators is presented and applications to real data sets in order to illustrate the usefulness of the new distribution are given.