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

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 likeliho...

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Vydáno v:Journal of statistical computation and simulation Ročník 88; číslo 3; s. 432 - 456
Hlavní autoři: Cordeiro, Gauss M., Yousof, Haitham M., Ramires, Thiago G., Ortega, Edwin M. M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 11.02.2018
Taylor & Francis Ltd
Témata:
Burr XII distribution
Computer simulation
Economic models
generating function
maximum likelihood estimation
Maximum likelihood estimators
moment
Parameter estimation
quantile function
Regression analysis
regression model
Regression models
ISSN:0094-9655, 1563-5163
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2017.1392524