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Original Articles

The Burr XII System of densities: properties, regression model and applications

, , &
Pages 432-456 | Received 04 Mar 2017, Accepted 11 Oct 2017, Published online: 24 Oct 2017
 

ABSTRACT

We introduce a new class of distributions called the Burr XII system of densities with two extra positive parameters. We provide a comprehensive treatment of some of its mathematical properties. We estimate the model parameters by maximum likelihood. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study. We also introduce a new family of regression models based on this system of densities. The usefulness of the proposed models is illustrated by means of three real data sets.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Disclosure statement

No potential conflict of interest was reported by the authors.

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