Document Type
Article
Language
eng
Publication Date
2019
Publisher
The Canadian Center of Science and Education
Source Publication
International Journal of Statistics and Probability
Source ISSN
1927-7032
Abstract
In this paper, a flexible lifetime distribution called Cubic rank transmuted modified Burr III-Pareto (CRTMBIII-P) is developed on the basis of the cubic ranking transmutation map. The density function of CRTMBIII-P is arc, exponential, left-skewed, right-skewed and symmetrical shaped. Descriptive measures such as moments, incomplete moments, inequality measures, residual life function and reliability measures are theoretically established. The CRTMBIII-P distribution is characterized via ratio of truncated moments. Parameters of the CRTMBIII-P distribution are estimated using maximum likelihood method. The simulation study for the performance of the maximum likelihood estimates (MLEs) of the parameters of the CRTMBIII-P distribution is carried out. The potentiality of CRTMBIII-P distribution is demonstrated via its application to the real data sets: tensile strength of carbon fibers and strengths of glass fibers. Goodness of fit of this distribution through different methods is studied.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein G.; Sheng, Wenhui; and Ahmad, Munir, "Cubic Rank Transmuted Modified Burr III Pareto Distribution: Development, Properties, Characterizations and Applications" (2019). Mathematical and Statistical Science Faculty Research and Publications. 18.
https://epublications.marquette.edu/math_fac/18
Comments
Published version. International Journal of Statistics and Probability, Vol. 8, No. 1 (2019): 94-112. DOI. This article is © 2019 author(s). Used with permission.