A New Extension of the Burr Type XII Distribution

Abstract

In this study, a new Burr XII distribution is defined and studied. Various structural mathematical properties of the proposed model are investigated. The maximum likelihood method is used to estimate the model parameters. We assess the performance of the MLEs of the new distribution with respect to sample size n. The assessment was based on a simulation study. The new distribution is applied for modeling two real data sets to prove empirically its flexibility. The new Burr XII model can be viewed as a suitable model for fitting the right skewed and unimodal data. The new model provides adequate fits as compared to other Burr XII models by means of two applications.

On the Kavya–Manoharan–Burr X Model: Estimations under Ranked Set Sampling and Applications

“…The first data set was studied by Bjerkedal in 1960, representing the survival times (in days) of 72 guinea pigs infected with virulent tubercle bacilli. For these data, shall compared the ts of the KMB X distribution with the exponential (E), Marshall-Olkin E (MO L E), Burr X-E (B X E), Kumaraswamy E (KE), beta E (BE), Kumaraswamy MO L E (KMO L E), generalized MO L E (GMO L E), MO L Kumaraswamy E (MO L KE), and moment E (ME) models (see Refaie 2018).…”