On Burr III-Pareto Distribution: Development, Properties, Characterizations and Applications

Fiaz Ahmad Bhatti, G. G. Hamedani, Mustafa Ç. Korkmaz, Munir Ahmad

Abstract


In this paper, a new four parameter lifetime model with increasing, decreasing, increasing-decreasing, decreasing-increasing-decreasing, modified bathtub, bathtub and inverted bathtub hazard rate function called Burr III-Pareto (BIII-Pareto) is developed on the basis of the T-X family technique. The BIII-Pareto density function is arc, J-shape, reverse J-shape, positively, negatively skewed and symmetrical. Some structural and mathematical properties including moments, moments of order statistics, inequality measures and reliability measures are theoretically established. The BIII-Pareto distribution is characterized via different techniques. Parameters of the BIII-Pareto distribution are estimated using maximum likelihood method. The simulation study for performance of the maximum likelihood estimates (MLEs) of parameters for the BIII-Pareto distribution is carried out. The potentiality of the BIII-Pareto distribution is demonstrated by its application to real data sets. Goodness of fit of this distribution through different methods is studied. The BIII-Pareto distribution is empirically better for lifetime applications

Keywords


Moments, Reliability, Characterizations, Maximum Likelihood Estimation

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DOI: http://dx.doi.org/10.18187/pjsor.v15i2.2938

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Title

On Burr III-Pareto Distribution: Development, Properties, Characterizations and Applications

Keywords

Moments, Reliability, Characterizations, Maximum Likelihood Estimation

Description

In this paper, a new four parameter lifetime model with increasing, decreasing, increasing-decreasing, decreasing-increasing-decreasing, modified bathtub, bathtub and inverted bathtub hazard rate function called Burr III-Pareto (BIII-Pareto) is developed on the basis of the T-X family technique. The BIII-Pareto density function is arc, J-shape, reverse J-shape, positively, negatively skewed and symmetrical. Some structural and mathematical properties including moments, moments of order statistics, inequality measures and reliability measures are theoretically established. The BIII-Pareto distribution is characterized via different techniques. Parameters of the BIII-Pareto distribution are estimated using maximum likelihood method. The simulation study for performance of the maximum likelihood estimates (MLEs) of parameters for the BIII-Pareto distribution is carried out. The potentiality of the BIII-Pareto distribution is demonstrated by its application to real data sets. Goodness of fit of this distribution through different methods is studied. The BIII-Pareto distribution is empirically better for lifetime applications

Date

-

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 15 No. 2, 2019



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810