The Exponentiated Burr XII Power Series Distribution: Properties and Applications

Arslan Nasir, Haitham M. Yousof, Farrukh Jamal and Mustafa Ç. Korkmaz
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Arslan Nasir: Department Statistics, The Islamia University, Bahawalpur 63100, Pakistan
Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Benha 13511, Egypt
Farrukh Jamal: Department Statistics, The Islamia University, Bahawalpur 63100, Pakistan
Mustafa Ç. Korkmaz: Department of Measurement and Evaluation, Education Faculty, City Campus, Artvin Çoruh University, 08100 Artvin, Turkey

Stats, 2018, vol. 2, issue 1, 1-17

Abstract: In this work, we introduce a new Burr XII power series class of distributions, which is obtained by compounding exponentiated Burr XII and power series distributions and has a strong physical motivation. The new distribution contains several important lifetime models. We derive explicit expressions for the ordinary and incomplete moments and generating functions. We discuss the maximum likelihood estimation of the model parameters. The maximum likelihood estimation procedure is presented. We assess the performance of the maximum likelihood estimators in terms of biases, standard deviations, and mean square of errors by means of two simulation studies. The usefulness of the new model is illustrated by means of three real data sets. The new proposed models provide consistently better fits than other competitive models for these data sets.

Keywords: Burr distribution; compounding; hazard rate; lifetime distribution; maximum likelihood method; power series distribution (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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