On Burr III Marshal Olkin family: development, properties, characterizations and applications

Fiaz Ahmad Bhatti (), G. G. Hamedani (), Mustafa C. Korkmaz (), Gauss M. Cordeiro (), Haitham M. Yousof () and Munir Ahmad ()
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Fiaz Ahmad Bhatti: National College of Business Administration and Economics
G. G. Hamedani: Marquette University
Mustafa C. Korkmaz: Artvin Çoruh University
Gauss M. Cordeiro: UniversidadeFederaldePernambuco
Haitham M. Yousof: Benha University
Munir Ahmad: National College of Business Administration and Economics

Journal of Statistical Distributions and Applications, 2019, vol. 6, issue 1, 1-21

Abstract: Abstract In this paper, a flexible family of distributions with unimodel, bimodal, increasing, increasing and decreasing, inverted bathtub and modified bathtub hazard rate called Burr III-Marshal Olkin-G (BIIIMO-G) family is developed on the basis of the T-X family technique. The density function of the BIIIMO-G family is arc, exponential, left- skewed, right-skewed and symmetrical shaped. Descriptive measures such as quantiles, moments, incomplete moments, inequality measures and reliability measures are theoretically established. The BIIIMO-G family is characterized via different techniques. Parameters of the BIIIMO-G family are estimated using maximum likelihood method. A simulation study is performed to illustrate the performance of the maximum likelihood estimates (MLEs). The potentiality of BIIIMO-G family is demonstrated by its application to real data sets.

Keywords: Moments; Reliability; Maximum likelihood Estimation; Characterizations (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:jstada:v:6:y:2019:i:1:d:10.1186_s40488-019-0101-7

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DOI: 10.1186/s40488-019-0101-7

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